Fe(s) + 2HCl(aq) --> FeCl2(aq) + H2(g)

When a student adds 30.0 mL of 1.00 M HCl to 0.56 g of powdered Fe, a reaction occurs according to the equation above. When the reaction is complete at 273 K and 1.0 atm, which of the following is true?

A) HCl is in excess, and 0.100 mol of HCl remains unreacted.

D) 0.22 L of H2 has been produced.

The correct answer is D. I can't figure out why A is wrong.

Answers

Answer 1

Option A states that 0.1 moles of HCl remain unreacted. This proves that option A is incorrect. The volume of hydrogen gas produced is 0.22 L. Thus option D is correct.

From the given reaction, 1 mole of Fe and 2 moles of HCl reacts to form 1 mole ferric chloride and 1-mole hydrogen gas.

The number of moles of HCl in 30 ml 1 M solution are:

Moles = molarity [tex]\times[/tex] volume (L)

Moles of HCl = 1 [tex]\times[/tex] 0.03

Moles of HCl = 0.030 moles.

The moles of 0.56 grams Fe powder are :

Moles = [tex]\rm \dfrac{weight}{molecular\;weight}[/tex]

Moles of Fe = [tex]\rm \dfrac{0.56}{56}[/tex] moles

Moles of Fe = 0.01 moles

For the reaction of 1 mole of Fe, 2 moles of HCL is required.

For the reaction of 0.01 moles of Fe, moles of HCl required = 0.01 [tex]\times[/tex] 2

Moles of HCL reacted = 0.02 moles

Total moles of HCL = 0.03 moles

Moles of HCl unreacted = 0.03 - 0.02

Moles of HCl unreacted = 0.01 moles

Option A states that 0.1 moles of HCl remain unreacted. This proves that option A is incorrect.

1 mole of Fe form 1 mole of Hydrogen gas.

0.01 moles of Fe form, 0.01 mole of Hydrogen gas.

From the ideal gas equation:

PV = nRT

1 [tex]\times[/tex] Volume = 0.01 [tex]\times[/tex] 0.0821 [tex]\times[/tex] 273

Volume of Hydrogen gas = 0.22 L.

The volume of hydrogen gas produced is 0.22 L. Thus option D is correct.

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Answer 2

Option D is correct since exactly 0.22 L of H₂ is produced, which matches the stoichiometric calculations for the reaction.

To determine why A is incorrect, we need to perform stoichiometric calculations based on the reaction: Fe(s) + 2HCl(aq) --> FeCl₂(aq) + H₂(g). First, calculate the moles of Fe and HCl:

Moles of Fe = 0.56 g / 55.85 g/mol = 0.0100 mol Moles of HCl = 30.0 mL * 1.00 M = 0.0300 mol

The balanced equation shows that 1 mole of Fe reacts with 2 moles of HCl. Therefore, 0.0100 mol of Fe will react with 0.0200 mol of HCl, leaving an excess of 0.0100 mol of HCl (0.0300 mol - 0.0200 mol). However, this contradicts option A which states 0.100 mol HCl remains unreacted.

Now, for option D: 0.0100 mol of Fe will produce 0.0100 mol of H₂. Using the ideal gas law at standard conditions (273 K and 1.0 atm), the volume of H₂ produced is:

V = nRT/P = (0.0100 mol) * (0.0821 L·atm/K·mol) * (273 K) / (1 atm) = 0.22 L

This confirms that D is correct.

The complete question is:

Fe(s) + 2HCl(aq) --> FeCl₂(aq) + H₂(g)

When a student adds 30.0 mL of 1.00 M HCl to 0.56 g of powdered Fe, a reaction occurs according to the equation above. When the reaction is complete at 273 K and 1.0 atm, which of the following is true?

A) HCl is in excess, and 0.100 mol of HCl remains unreacted.

D) 0.22 L of H₂ has been produced.

The correct question is:

To the reaction mixture having reaction as 25 Fe(s) + 2 HCI(aq) -> FeCl₂(aq) + H₂(g), When a student adds 30.0 mL of 1.00 M HCI to 0.56 g of powdered Fe, a reaction occurs according to the equation above. When the reaction is complete at 273 K and 1.0 atm, which of the following is true?

(A) HCI is in excess, and 0.100 mol of HCI remains unreacted.

(B) HCI is in excess, and 0.020 mol of HCI remains unreacted.

(C) 0.015 mol of FeCl₂ has been produced.

(D) 0.22 L of H₂ has been produced.


Related Questions

What is the minimum number of moles of sodium borohydride required to fully reduce 0.55 grams of benzophenone? Enter only the number with two significant figures.

Answers

Answer:

see explanation below

Explanation:

In this case, is pretty easy. This is a reduction reaction to form the respective alcohol.

Now for each mole of benzophenone that it's present, reacts with 1 mole of Sodium borohydryde, so, all we need to do, is to calculate the moles of benzophenone presents and these, would be the same moles of NaBH4 so:

moles Benzophenone : m/MM

The molar mass of benzophenone reported is 182.22 g/mol so:

moles Benzophenone = 0.55/182.22 = 3.02x10⁻³ moles

so the moles of NaBH₄ = 3.02x10⁻³ moles

Draw the structures of the starting materials needed to make 2-methylhept-3-yne in the spaces provided. The starting materials may be any bromoalkane having five carbons or fewer.

Answers

Answer: answered

Explanation:

What mass of oxygen gas is produced by the reaction of 3.8 g of ammonium perchlorate?

Answers

Answer:

There is 1.29 grams of O2 produced.

Explanation:

Step 1: Data given

Mass of ammonium perchlorate 3.8 grams

Molar mass of ammonium perchlorate = 117.49 g/mol

Step 2: The balanced equation

4NH4ClO4 → 5O2 + 6H2O + 2N2 + 4HCl

Step 3: Calculate moles of NH4ClO4

Moles NH4ClO4 = mass NH4ClO4 / molar mass NH4ClO4

Moles NH4ClO4 = 3.80 grams / 117.49 g/mol

Moles NH4ClO4 = 0.0323 moles

Step 4: Calculate moles of O2

For 4 moles of ammonium perchlorate consumed, we produce 5 moles O2, 6 moles H2O, 2 moles N2 and 4 moles HCl

For 0.0323 moles NH4ClO4 we'll have 5/4 * 0.0323 = 0.040375 moles of O2

Step 5: Calculate mass of O2

Mass O2 = moles O2 * molar mass O2

Mass O2 = 0.040375 moles * 32 g/mol

Mass O2 = 1.29 grams

There is 1.29 grams of O2 produced.

The mass of oxygen gas produced by the reaction of 3.8 g g ammonium perchlorate is 1.03 grams.

The balanced equation for the reaction of ammonium perchlorate is:

NH₄ClO₄ → 2H₂O + 2HCl + O₂

For every 1 mole of ammonium perchlorate, 1 mole of oxygen gas (O₂) is produced.

The molar mass of ammonium perchlorate (NH₄ClO₄) is calculated as follows:

NH₄ClO₄: (1 × 14.01 g/mol) + (4 × 1.01 g/mol) + (1×* 35.45 g/mol) + (4 × 16.00 g/mol) = 117.49 g/mol

Moles of NH₄ClO₄ = mass / molar mass = 3.8 g / 117.49 g/mol

For every mole of ammonium perchlorate, 1 mole of oxygen gas is produced. Therefore, the number of moles of oxygen gas produced is equal to the number of moles of ammonium perchlorate.

Moles of O₂ = Moles of NH₄ClO₄

Mass of O₂ = moles of O₂ × molar mass of O₂

Mass of O₂ = moles of O₂ × molar mass of O₂ = moles of NH₄ClO₄ × molar mass of O₂

Mass of O₂ = (3.8 g / 117.49 g/mol) × 32.00 g/mol = 1.03 g

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How many GL are there in 8.52 x 10^10 fl oz?

Answers

Answer:

2.52 x  10^10

Explanation:

1 Gl = 33814022600 fl Oz = 3.38 x 10^10 fl oz

 x = 8.52 x 10^10 fl oz

8.52 x 10^10 = 3.38 x 10^10x

x = 8.52 x 10^10 /  3.38 x 10^10

x = 2.52071005917 = 2.52 x  10^10

x = 2.52 x  10^10

A reaction in which a substance reacts with oxygen, emitting heat and forming oxygen-containing compounds is an example of a(n):

A) acid-base reaction.
B) combustion reaction.
C) precipitation reaction.
D) gas evolution reaction.

Answers

Answer: B) combustion reaction.

Explanation:

A) acid-base reaction: When an acid reacts with a base, to form metal salt and water, this type of reaction is Acid Base reaction.

Example: [tex]HCl+NaOH\rightarrow NaCl+H_2O[/tex]

B) combustion reaction: When a hydrocarbon reacts with oxygen to produce carbon dioxide and water, this type of reaction is combustion reaction.

[tex]CH_4+2O_2\rightarrow CO_2+2H_2O[/tex]

C) precipitation reaction: a reaction in which aqueous solution of two compounds on mixing react to form an insoluble compound which separate out as a solid are called precipitation reactions.

[tex]Na_2SO_4(aq)+BaCl_2(aq)\rightarrow BaSO_4(s)+NaCl(aq)[/tex]

D) gas evolution reaction: a reaction in which one of the product is formed as a gas.

[tex]CaCO_3(s)\rightarrow CaO(s)+CO_2(g)[/tex]

A chemist measures the amount of bromine liquid produced during an experiment. He finds that 1.33 g of bromine liquid is produced. Calculate the number of moles of bromine liquid produced. Round your answer to 3 significant digits.

Answers

Answer:

8.32×10⁻³ moles of liquid Br₂ were produced.

Explanation:

You have the mass of bromine liquid produced and you must calculate the moles. Therefore you divide mass / molar mass Br

Bromine is a diatomic molecule, Br₂ so molar mass is 159.8 g/mol

1.33 g / 159.8 g/mol = 8.32×10⁻³ moles

Complete the mechanism for the acid-catalyzed hydrolysis of the epoxide in alcohol by adding any missing atoms, bonds, charges, nonbonding electrons, and curved arrows.Figure:Different bonds in the figure

Answers

Final answer:

The acid-catalyzed hydrolysis of epoxides in alcohol involves the step-wise transfer of protons and the breaking and formation of various bonds. Large quantities of ethanol can be synthesized through addition reactions, which also creates alcohols - organic compounds with a hydroxyl group bonded to a carbon atom.

Explanation:

The acid-catalyzed hydrolysis of epoxides in alcohol is a process that may involve the sequential or step-wise transfer of protons, aided by the conjugate base and bonded water molecules acting as acids. Large quantities of ethanol can be synthesized through the addition reaction of water with ethylene using an acid as a catalyst, which is indicative of the importance of these actions in chemical reactions. Notably, this also involves the breaking and forming of various bonds, such as breaking a C-O triple bond and two H-H single bonds, alongside forming three C-H single bonds, a C-O single bond, and an O-H single bond.

For clarification, an addition reaction is a typical alkene reaction where a double carbon-carbon bond forms a single carbon-carbon bond by adding a reactant. Originating from this process are alcohols, organic compounds consisting of a hydroxyl group (-OH) bonded to a carbon atom.

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Determine whether each carbohydrate is best described as a monosaccharide, a disaccharide, or a polysaccharide

Answers

Answer options from an alternative source

fructose                               lactose                              starch glucose                                                                            cellulose

Answer:

fructose -monosaccharide                               lactose  - disaccharide                            starch  - polysaccharideglucose - monosaccharide                                                                           cellulose - polysaccharide

Explanation:

Monosaccharides are carbohydrates that are the simplest form of a sugar. They cannot be further broken down into smaller carbohydrates, and represent the basic building block for carbohydrates. Monosaccharides can form disaccharides, which are the sugar formed when two monosaccharides join together, or polysaccharides, which are chains of monosaccharides.

Final answer:

Carbohydrates can be categorized as monosaccharides, disaccharides, or polysaccharides based on the number of sugar units they contain. Monosaccharides have one, disaccharides have two, while polysaccharides have multiple sugar units.

Explanation:

The type of carbohydrate is determined by the number of sugar units it contains. Monosaccharides consist of one sugar unit, examples being glucose and fructose. Disaccharides consist of two sugar units, with lactose and sucrose being examples. Polysaccharides contain many sugar units, with examples including starch and cellulose.

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You need to make 10 mL of 2 mg/mL solution of protein and you have 25 mg/mL solution. How much protein solution and water do you need to mix in order to make the required solution?

Answers

Answer:

The protein solution needed is 0.8mL and the water needed 1000mL

Explanation:

C1 = 2 mg/mL

V1 = 10 mL

C2 = 25 mg/mL

V2 =?

C1V1 = C2V2

2 x 10 = 25 x V2

V2 = 20/ 25

V2 = 0.8mL

The protein solution needed is 0.8mL and the water needed 1000mL

A military jet cruising at an altitude of 12.0kmand speed of 1900./kmh burns fuel at the rate of 74.4/Lmin. How would you calculate the amount of fuel the jet consumes on a 1050.km mission? Set the math up. But don't do any of it. Just leave your answer as a math expression.

Answers

Answer: amount = 2466.95L

Explanation:

given that the speed is = 1900./kmh i.e. 1hr/900km

distance = 1050km

the fuel burns at a rate of 74.4 L/min

therefore the amount of fuel that the jet consumes on a 1050.km becomes;

total fuel used = time × fuel burning rate

where time = distance / speed

∴ total fuel used (consumed) = time × fuel burning rate

total fuel consumed = (1050km × 1hr/1900km) × (60min/ 1hr × 74.4L/1min)

total fuel consumed = 2466.95L

a sample of lead has a mass of 150.0 g what amount of lead in moles does the sample contain

Answers

Answer:

0.723 mol        

Explanation:

Mole -

Moles is denoted by given mass divided by the molecular mass ,

Hence ,

n = w / m

n = moles ,

w = given mass ,

m = molar mass .

From the information of the question ,

w = 150.0 g

As we known the molar mass of lead is -

m = 207.2 g/mol

Hence , the value for the sample of mole can be calculated by using the above formula ,

n = w / m  

putting the respective values ,

n = 150.0 g /  207.2 g/mol = 0.723 mol

Final answer:

A 150.0 g sample of lead contains 0.724 moles, calculated by dividing the mass of the sample by lead's atomic mass of 207.2 g/mol.

Explanation:

The question asks for the calculation of the number of moles of lead in a 150.0 g sample. Using the atomic mass of lead (207.2 g/mol), which is the average atomic mass considering all its naturally occurring isotopes, the calculation is straightforward.

First, the mass of the lead sample is divided by lead's atomic mass to find the number of moles:

Moles of lead = mass of lead sample / atomic mass of lead = 150.0 g / 207.2 g/mol

Therefore, 0.724 moles of lead are present in a 150.0 g sample.

The half-lives for the forward and reverse reactions that are first order in both directions are 24ms and 39 ms, respectively. Calculate the corresponding relaxation time (s) for the return to equilibrium after a temperature jump. Please enter your answer with two significant figures (unit: s).

Answers

Explanation:

The given data is as follows.

            [tex](t_{\frac{1}{2}})_{1}[/tex] = 24 ms,

            [tex](t_{\frac{1}{2}})_{2}[/tex] = 39 ms,

where,    [tex](t_{\frac{1}{2}})_{1}[/tex] = half-life for the forward reaction

              [tex](t_{\frac{1}{2}})_{2}[/tex] = half-life for the backward reaction

It is known that the formula for first-order reaction is as follows.

                      [tex]t_{\frac{1}{2}} = \frac{0.693}{K}[/tex]

Therefore,  

              [tex]K_{1} = \frac{0.693}{(t_{\frac{1}{2}})_{1}}[/tex]

                        = [tex]\frac{0.693}{24 ms}[/tex]

                        = 0.0289 [tex]ms^{-1}[/tex]

              [tex]K_{2} = \frac{0.693}{(t_{\frac{1}{2}})_{2}}[/tex]

                        = [tex]\frac{0.693}{39 ms}[/tex]

                        = 0.0178 [tex]ms^{-1}[/tex]

Hence, formula for the relaxation time is as follows.

               [tex]\tau = \frac{1}{K_{1} + k_{2}}[/tex]

                       = [tex]\frac{1}{(0.0289 + 0.0178) ms^{-1}}[/tex]

                       = 21.41 ms

Thus, we can conclude that the corresponding relaxation time(s) for the return to equilibrium after a temperature jump is 21.41 ms.

g Isopropyl methyl ether is slightly soluble with water because the oxygen atom of ethers with or fewer carbon atoms can form a few hydrogen bonds with water.
True/False

Answers

Answer:

True

Explanation:

The isopropyl methyl ether is a polar molecule because its dipole moment is different from 0. The ether is formed by a molecule of oxygen between carbons, in this case, the oxygen is bonded to an isopropyl, which has 3 carbons, and to a methyl, with only one carbon, so, the dipole, which is the polar difference between the atoms, will be stronger in the isopropyl bond.

Because of that, the oxygen will have a partial negative charge. The water is also a polar substance, and "like dissolve like". Because water has a dipole in the hydrogen and in the oxygen, the hydrogen of it may bond with the oxygen of the ether, forming a hydrogen bond, which is strong.

Predict whether each of the following bonds is ionic, polar, covalent, or nonpolar covalent:

a) Si--O;
b) K--Cl;
c) S--F;
d) P--Br;
e) Li--O;
f) N--P.

Answers

Predict whether each of the following bonds is no polar covalent, polar covalent, or ionic

Bond. Electro negativity Type of bond

Si- O

k-Cl

I-I

C-H

a) Si--O: Polar Covalent

b) K--Cl: Ionic

c) S--F: Polar Covalent

d) P--Br: Polar Covalent

e) Li--O: Ionic

f) N--P: Covalent

a) Si--O: Polar Covalent. Silicon (Si) and oxygen (O) have different electronegativities, causing unequal sharing of electrons. The oxygen atom attracts electrons more strongly, resulting in a partial negative charge on oxygen and a partial positive charge on silicon.

b) K--Cl: Ionic. Potassium (K) and chlorine (Cl) have significantly different electronegativities. K transfers an electron to Cl, forming K⁺ and Cl⁻ ions held together by electrostatic attraction.

c) S--F: Polar Covalent. Sulfur (S) and fluorine (F) have distinct electronegativities, leading to unequal electron sharing. F pulls electrons more, inducing partial charges on both atoms.

d) P--Br: Polar Covalent. Phosphorus (P) and bromine (Br) have differing electronegativities, causing uneven electron distribution and partial charges on the atoms.

e) Li--O: Ionic. Lithium (Li) and oxygen (O) have a significant electronegativity difference. Li loses an electron to O, resulting in Li⁺ and O²⁻ ions, held together by electrostatic forces.

f) N--P: Covalent. Nitrogen (N) and phosphorus (P) have similar electronegativities, allowing for equal electron sharing in a covalent bond.a) Si--O: Polar Covalent.

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How many electrons move past a fixed reference point every tttd = 1.25 psps if the current is iii = 4.8 μAμA ? The charge on a single electron is about â1.6Ã10â19Câ1.6Ã10â19C .

Answers

Answer:

38 electrons

Explanation:

From Faraday's first law of electrolysis which states that during electrolysis, the mass of a substance deposited at the electrode is proportional to the quantity of electricity passing through it. Mathematically , M ∝ Q

but M = zQ and from electricity, Q =It, hence the equation becomes M = zIt.

where M = Mass of substance deposited in g, and Q =Quantity of electricity in coulombs(C)

I = current in ampere(A)

t = time in seconds

z = Chemical Equivalent in g/C

hence, given t = 1.25 ps and i = 4.8 μA

Using Q = It = 1.25 ps × 4.8 μA , converting the ps (pico secs) to secs and micro ampere to ampere, Q = 1.25 × 10-12s  × 4.8 × 10-6A = 6 × 10-18C

From 1 mole of electron is equal to the quantity of charge which is also equal to 96500C/mol,

Hence, number of moles of electrons =  6 × 10-18C / 96500C/mol

number of moles = 6.218 ×10-5 × 10-18  = 6.218 × 10-23moles

Recalling that, number of moles = number of electrons / Avogadro's constant and Avogardos constant = 6.023 × 10raised to the power of 23/mol

number of electrons = number of moles × 6.023 × 1023/mol

number of electrons = 6.218 × 10-23moles × 6.023 × 1023/mol  = 37.50 which is approximately 38

Hence 38 electrons moved past the fixed reference point.

Final answer:

To calculate the number of electrons that move past a fixed reference point, use the formula: Number of electrons = (Current × Time × Charge on a single electron) / Electron charge. Plugging in the given values, the number of electrons is approximately 1.875 × 10^10 electrons.

Explanation:

To calculate the number of electrons that move past a fixed reference point, we can use the formula:

Number of electrons = (Current × Time × Charge on a single electron) / Electron charge

Plugging in the given values, we have:

Number of electrons = (4.8 μA × 1.25 ps × 10^-12 C) / (1.6 × 10^-19 C)

Simplifying the expression, we find that the number of electrons is approximately 1.875 × 10^10 electrons.

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At 0 °C and 1.00 atm, as much as 0.70 g of O2 can dissolve in 1 L of water. At 0 °C and 4.00 atm, how many grams of O2 dissolve in 1 L of water?

Answers

Answer : The mass of [tex]O_2[/tex] at 4.00 atm pressure is, 2.8 grams.

Explanation :

First we have to calculate the Henry law constant.

As we know that,

[tex]C_{O_2}=k_H\times p_{O_2}[/tex]

where,

[tex]C_{O_2}[/tex] = solubility of [tex]O_2[/tex] = 0.70 g/L

[tex]p_{O_2}[/tex] = partial pressure of [tex]O_2[/tex] = 1.00 atm

[tex]k_H[/tex] = Henry's law constant

Now put all the given values in the above formula, we get:

[tex]0.70g/L=k_H\times (1.00atm)[/tex]

[tex]k_H=0.70g/L.atm[/tex]

Now we have to calculate the solubility of [tex]O_2[/tex] at 4.00 atm pressure.

[tex]C_{O_2}=k_H\times p_{O_2}[/tex]

where,

[tex]C_{O_2}[/tex] = solubility of [tex]O_2[/tex] at 4.00 atm = ?

[tex]p_{O_2}[/tex] = partial pressure of [tex]O_2[/tex] = 4.00 atm

[tex]k_H[/tex] = Henry's law constant = [tex]0.70g/L.atm[/tex]

Now put all the given values in the above formula, we get:

[tex]C_{O_2}=(0.70g/L.atm)\times (4.00atm)[/tex]

[tex]C_{O_2}=2.8g/L[/tex]

Now we have to calculate the mass of [tex]O_2[/tex]

[tex]\text{Mass of }O_2=\text{Solubility of }O_2\times \text{Volume of solution}[/tex]

[tex]\text{Mass of }O_2=2.8g/L\times 1L=2.8g[/tex]

Thus, the mass of [tex]O_2[/tex] at 4.00 atm pressure is, 2.8 grams.

Final answer:

The amount of O2 that can dissolve in 1L of water at 0 °C and 4.00 atm, using Henry's law, is 2.80 g.

Explanation:

In this question, we determine the amount of O2 that can dissolve in water at a higher pressure using Henry's law.

According to Henry's law, the amount of dissolved gas in a liquid is directly proportional to its partial pressure above the liquid. If the pressure is increased to 4 atm (4 times the initial pressure), the amount of O2 that can dissolve in the water will also increase 4 times.

Therefore, at 0 °C and 4.00 atm, 4 * 0.70 g = 2.80 g of O2 can dissolve in 1L of water.

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What is the name of this molecule?
Η Η Η
Η
Η
Η
H-C-C-C-C- C- C-H
Η Η Η Η Η Η
Ο
Pentane
Ο
B. 2-pentane
C. Hexyne
D. Hexane

Answers

Answer: The name of the above compound is Hexane

Explanation: The Formula for Homolougous series i.e Alkane family is CnH2n+2

The number of the Carbon above is 6 and the number of the Hydrogen is 14.

That means it corroborates with the above formula for the alkame family

C6H(2×6)+2 =C6H12+2

Final answer is C6H14

From the number 6 means "Hex" with the family name "ane"

The name results to Hexane

What is the frequency of green light that has a wavelength of 543 nm? (c = 3.00 x 10⁸ m/s)

Answers

Answer:

ν =  5.53 x 10⁶ Hz

Explanation:

The frequency of a radiation, ν ,is inversely  propotional  to its wavelength, and is given  by:

ν =  c/λ  where

ν = frequency

c: speed of light, 3 x 10⁸ m/s

λ: wavelength in m

Think of frequency as the number of waves per second.

We can directly compute the answer by first converting the wavelength to m for unit consistency and then plugging the values.

1 m = 10⁹ nm

543 nm x ( 1 m /  10⁹ nm ) = 5.43 x 10⁻⁷ m

ν =  c/λ  = 3 x 10⁸ m/s / 5.43 x 10⁻⁷ m = 5.53x 10¹⁴ s⁻¹

In the metric system the unit s⁻¹ is called Hertz.

ν = 5.53 x 10¹⁴  Hz

Final answer:

The frequency of green light with a wavelength of 543 nm is approximately 5.52 x 10^14 Hz.

Explanation:

The frequency of electromagnetic waves can be calculated using the equation: frequency = speed of light / wavelength. In this case, we have a wavelength of 543 nm and the speed of light is 3.00 x 10^8 m/s. First, we need to convert the wavelength to meters. There are 1 x 10^9 nm in a meter, so the wavelength is 543 x 10^-9 m. Plugging these values into the equation, the frequency of the green light is approximately 5.52 x 10^14 Hz.

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A 75.0 g piece of gold at 650. K is dropped into 180. g of H2O(l) at 310. K in an insulated container at 1 bar pres- sure. Calculate the temperature of the system once equilib- rium has been reached. Assume that CP, m for Au and H2O is constant at their values for 298 K throughout the temperature range of interest.

Answers

Answer:

The temperature of the system after reaching equilibrium is 314.21 K.

Explanation:

Heat lost by gold will be equal to heat gained by the water

[tex]-Q_1=Q_2[/tex]

Mass of iron = [tex]m_1=75.0 g[/tex]

Specific heat capacity of gold= [tex]c_1=0.126 J/gK [/tex]

Initial temperature of the gold= [tex]T_1=650.0 K [/tex]

Final temperature of gold = [tex]T_2[/tex]=T

[tex]Q_1=m_1c_1\times (T-T_1)[/tex]

Mass of water= [tex]m_2=180.0 g[/tex]

Specific heat capacity of water= [tex]c_2=4.184 J/gK [/tex]

Initial temperature of the water = [tex]T_3=310 K[/tex]

Final temperature of water = [tex]T_2[/tex]=T

[tex]Q_2=m_2c_2\times (T-T_3)[/tex]

[tex]-Q_1=Q_2[/tex]

[tex]-(m_1c_1\times (T-T_1))=m_2c_2\times (T-T_3)[/tex]

On substituting all values:

[tex]-(75.0 g\times 0.126 J/gK\times (T-650.0K))=180.0 g\times 4.184 J/gK\times (T-310.0K)[/tex]

we get, T = 314.21 K

The temperature of the system after reaching equilibrium is 314.21 K.

Final answer:

The question asks for the final temperature of a gold and water system at thermal equilibrium, a concept from chemistry involving heat transfer calculations.

Explanation:

The question involves calculating the final temperature of a system consisting of gold and water once they reach thermal equilibrium. This is a classic problem in thermodynamics, specifically within the scope of heat transfer and calorimetry. According to the principle of conservation of energy, the heat lost by the gold will be equal to the heat gained by the water until equilibrium is reached. However, the exact calculation requires knowing the specific heat capacities of gold and water, which are not provided in the query. Typically, you would use the formula q=mcΔT (where q is the heat absorbed or released, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature) for both substances and set the heat lost by gold equal to the heat gained by water to find the final equilibrium temperature.

Calculate the acid dissociation constant Ka of a 0.2 M solution of weak acid that is 0.1% ionized is ________.

Answers

Answer: acid dissociation constant Ka= 2.00×10^-7

Explanation:

For the reaction

HA + H20. ----> H3O+ A-

Initially: C. 0. 0

After : C-Cx. Cx. Cx

Ka= [H3O+][A-]/[HA]

Ka= Cx × Cx/C-Cx

Ka= C²X²/C(1-x)

Ka= Cx²/1-x

Where x is degree of dissociation = 0.1% = 0.001 and c is the concentration =0.2

Ka= 0.2(0.001²)/(1-0.001)

Ka= 2.00×10^-7

Therefore the dissociation constant is

2.00×10^-7

The density of SiO2 is 2.27 g cm-3. Given that its structure is amorphous, calculate the number of molecules per unit volume, in nm-3. Compare your result with (a) and comment on what happens when the surface of an Si crystal oxidizes. The atomic masses of Si and O are 28.09 and 16,respectively

Answers

Answer:

Explanation:

Oxidation is defined as the reaction of oxygen and a substrate which could be a metal, non-metal etc. Pure Silicon can be found to be too reactive and hence forms alloys with non-metals.

Therefore, oxidation of silicon will form a layer of silicon dioxide on the surface of the silicon and hence, the crystal Silicon structure is partly lost with the formation of an amorphous SiO2. An example of a feasible oxidation of silicon is thermal oxidation which follows the equation:

Si + 2H2O -> SiO2 + 2H2

Si + O2 -> SiO2

Final answer:

The number of SiO2 molecules per unit volume in nm-3 is calculated to be 22.8 molecules per nm³ based on the density and molar mass of SiO2. This calculation reveals the considerable volume expansion that occurs when the surface of a Si crystal oxidizes to form SiO2, potentially impacting semiconductor properties.

Explanation:

To calculate the number of SiO2 molecules per unit volume in nm-3, we first need to find the molar mass of SiO2. The atomic masses of Si and O are 28.09 and 16, respectively. Thus, the molar mass of SiO2 is 28.09 + 2(16) = 60.09 g/mol.

Given the density of SiO2 is 2.27 g/cm3, we can calculate the number of moles in 1 cm3 as follows:

Number of moles = density / molar mass = 2.27 g/cm3 / 60.09 g/mol = 0.0378 mol/cm3.Since 1 mol contains Avogadro's number of molecules (6.022 x 1023 molecules/mol), the number of molecules in 1 cm3 is 0.0378 mol/cm3 x 6.022 x 1023 = 2.28 x 1022 molecules/cm3.Converting cm3 to nm3, where 1 cm3 equals 1 x 1021 nm3, the number of molecules per nm3 is (2.28 x 1022) / (1 x 1021) = 22.8 molecules/nm3.

Regarding the effect of surface oxidation on a Si crystal, the expansion of volume during the transformation from Si to SiO2 implies that the material becomes less densely packed with increased volume. Given that 0.44 Å of Si is used to obtain 1.0 Å of SiO2, this indicates that the oxidation process introduces more space within the structure due to the larger volume of SiO2 compared to Si. This expansion could affect the electrical and mechanical properties of silicon components, particularly in semiconductor applications, where precise control of material properties is essential.

A 45.30 g sample of solid mercury is initially at –59.00°C. If the sample is heated at constant pressure ( = 1 atm), kJ of heat are needed to raise the temperature of the sample to 30.00°C.

Answers

Answer:

0.165kJ

Explanation:

Formula to use for such a question is;

Energy = number of mole x molar gas constant x change in temperature

Number of mole = reacting mass of mercury / molar mass of mercury = 45.30/200.58 = 0.226moles

Change in temperature = final temperature - initial temperature = 30 - (-59) =30 + 59 = 89 Kelvin

E = nRT = 0.226 x 8.314 x 89

Energy = 165.35Joules

Energy in kJ = 165.35/1000 = 0.165kJ

Explain the reason potassium was visible when using the cobalt glass. Describe what occured.

Answers

Explanation:

If potassium is burnt the ions go into a high state of energy. Once they cool, it gives off energy in the form of a visible spectrum which has a characteristic color Now, The cobalt glass blocks out yellow light, and potassium ion which is purple in color is visible.

Final answer:

Cobalt glass filters out other wavelengths of light, allowing the violet flame of potassium to be seen clearly during a flame test, thereby facilitating the identification of potassium by its characteristic color.

Explanation:

Potassium was visible using cobalt glass because cobalt glass has the ability to filter out certain wavelengths of light and allows only specific wavelengths to pass through. This element-specific coloration aids the identification of potassium because potassium compounds, when heated, emit a violet or lilac color that can be masked by the colors of other substances. However, the cobalt glass helps by primarily allowing those violet wavelengths to pass through, making it easier to observe the potassium flame test result clearly.

The illustration of the electron transfer to form potassium sulfide (K₂S) would involve two potassium atoms each donating one electron to a sulfur atom, with each potassium atom becoming a K⁺ ion, and the sulfur atom gaining two electrons to become an S²⁻ ion.

Deprenyl is an enzyme inhibitor that helps prevent the metabolism of dopamine in the brain. The chemical formula of Deprenyl is C13H17NHCl. The appropriate dose for treating Parkinson’s disease is 100 μg/(day*kg body weight). For a 70 kg

Answers

Answer:

0.007 g of deprenyl dose is required fro the patient with body mass of 70 kilograms.

Explanation:

The dose for treating Parkinson’s disease = 100 μg/kg body weight

Mass of patient's body = 70 kg

Amount of dose of deprenyl required = 100 μg/kg × 70 kg = 7,000 μg

1 μg = 0.00001 g

7,000 μg = 7,000 × 0.000001 g = 0.007 g

0.007 g of deprenyl dose is required fro the patient with body mass of 70 kilograms.

Final answer:

Deprenyl is a chemical compound used as a treatment for Parkinson's disease. It works by inhibiting the enzyme that breaks down dopamine, increasing dopamine levels in the brain. The appropriate dose for treating Parkinson's disease with Deprenyl is 100 μg/day per kg of body weight.

Explanation:

Deprenyl is a chemical compound with the formula C13H17NHCl. It is an enzyme inhibitor that helps prevent the metabolism of dopamine in the brain. Deprenyl is commonly used as a treatment for Parkinson's disease, a neurodegenerative disorder characterized by a loss of dopaminergic neurons.


Deprenyl works by inhibiting the enzyme monoamine oxidase-B (MAO-B), which is responsible for breaking down dopamine in the brain. By preventing the breakdown of dopamine, Deprenyl helps to increase dopamine levels, which can alleviate symptoms of Parkinson's disease.

The appropriate dose of Deprenyl for treating Parkinson's disease is 100 μg/day per kg of body weight. For example, for a 70 kg individual, the appropriate dose would be 7000 μg or 7 mg per day.

How much heat (kJ) is absorbed by 229.1 g of water in order for the temperature to increase from 25.00∘C to 32.50∘C?

Q2) Calculate the amount of heat required to raise the temperature of a 34 g sample of water from 9 ∘C to 23 ∘C.

Answers

Answer:

(Q1) 9.42 kJ.

(Q2) 1.999 kJ

Explanation:

Heat: This is a form of Energy that brings about the sensation of warmth.

The S.I unit of Heat is Joules (J).

The heat of a body depend on the mass of the body, specific heat capacity, and temperature difference. as shown below

Q = cm(t₂-t₁) ........................ Equation 1

(Q1)

Q = cm(t₂-t₁)

Where Q = amount of heat absorbed, c = specific heat capacity of water, m = mass of water, t₁ = initial temperature, t₂ = final temperature.

Given: m = 229.1 g = 0.2991 kg, t₁ = 25.0 °C, 32.50 °C

Constant: c = 4200 J/kg.°C

Substituting into equation 1

Q = 0.2991×4200(32.5-25)

Q = 1256.22(7.5)

Q = 9421.65 J

Q = 9.42 kJ.

Hence the heat absorbed = 9.42 kJ

(Q2)

Q = cm(t₂-t₁)

Where Q = amount of heat required, c = specific heat capacity of water, m = mass of water, t₁ = initial temperature, t₂ = final temperature.

Given: m = 34 g = 0.034 kg, t₁ = 9 °C, t₂ = 23 °C

Constant: c = 4200 J/kg.°C

Q = 0.034×4200(23-9)

Q = 142.8(14)

Q = 1999.2 J

Q = 1.999 kJ.

Thus the Heat required = 1.999 kJ

Final answer:

To calculate the amount of heat absorbed by water, you can use the formula Q = mcΔT.

Explanation:

To calculate the amount of heat absorbed by water in order for the temperature to increase, you can use the formula:

Q = mcΔT

where Q is the heat absorbed, m is the mass of water, c is the specific heat capacity of water, and ΔT is the change in temperature.

For the first question, the specific heat capacity of water is 4.18 J/g⋅°C. Substitute the given values into the formula to calculate the heat absorbed.

For the second question, you can follow the same steps using the given mass, specific heat capacity, and change in temperature.

Learn more about Calculating heat absorbed by water here:

https://brainly.com/question/31496548

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Nitrogen forms a number of compounds with oxygen, for example, Nitrous oxide, N2O is 63.65% by mass.

A second compound, which contains two atoms of nitrogen per molecule, is 36.86% N by mass. How many oxygen atoms are in the second compound? Write your answer as a whole number.

Answers

Answer: there are 3 atoms of oxygen in the compound, and the compound is N2O3

Explanation:Please see attachment for explanation

Final answer:

The nitrogen-containing compound is 36.86% nitrogen by mass, and after calculating, it is determined that the compound contains three oxygen atoms.

Explanation:

The question asks how many oxygen atoms are in a nitrogen-containing compound given that the compound is 36.86% nitrogen by mass and contains two nitrogen atoms per molecule. To find out, we start by using the percent composition of nitrogen to determine the total molecular mass of the compound. Nitrogen has an atomic mass of 14.01 amu, and since there are two nitrogen atoms, that contributes 28.02 amu to the molecular mass. Since nitrogen makes up 36.86% of the compound by mass, we calculate the total molecular mass of the compound by dividing the mass of nitrogen in the compound by the percentage of nitrogen (28.02 amu / 0.3686), which equals approximately 76 amu as the molar mass of the compound.

Now we subtract the mass contributed by nitrogen from the total molecular mass to find the mass of oxygen in the molecule (76 amu - 28.02 amu). This leaves approximately 47.98 amu for the oxygen atoms. Oxygen has an atomic mass of approximately 16 amu, so by dividing the mass of oxygen by the atomic mass of oxygen (47.98 amu / 16 amu), we find there are about 3 oxygen atoms in the molecule.

Therefore, the second compound contains three oxygen atoms, and you would write the answer as a whole number: 3.

The second-order diffraction for a gold crystal is at an angle of 22.20o for X-rays of 154 pm. What is the spacing between the crystal planes?

Answers

Answer: The spacing between the crystal planes is [tex]4.07\times 10^{-10}m[/tex]

Explanation:

To calculate the spacing between the crystal planes, we use the equation given by Bragg, which is:

[tex]n\lambda =2d\sin \theta[/tex]

where,

n = order of diffraction = 2

[tex]\lambda[/tex] = wavelength of the light = [tex]154pm=1.54\times 10^{-10}m[/tex]     (Conversion factor:  [tex]1m=10^{12}pm[/tex] )

d = spacing between the crystal planes = ?

[tex]\theta[/tex] = angle of diffraction = 22.20°

Putting values in above equation, we get:

[tex]2\times 1.54\times 10^{-10}=2d\sin (22.20)\\\\d=\frac{2\times 1.54\times 10^{-10}}{2\times \sin (22.20)}\\\\d=4.07\times 10^{-10}m[/tex]

Hence, the spacing between the crystal planes is [tex]4.07\times 10^{-10}m[/tex]

Final answer:

The spacing between the crystal planes can be found using Bragg's law, and using the given values for a second-order diffraction and the X-ray wavelength, the calculation will yield the required plane spacing.

Explanation:

The question is about determining the spacing between the crystal planes using X-ray diffraction data. When X-rays are diffracted by the crystal planes, the relationship between the angle of diffraction (Bragg angle), the wavelength of the X-rays, and the spacing between the planes is given by Bragg's law:

Bragg's Law: nλ = 2d sin(θ)

Where:

n is the order of diffractionλ (lambda) is the wavelength of the X-raysd is the distance between the crystal planesθ (theta) is the Bragg angle

For the given problem where a second-order diffraction for a gold crystal is observed at an angle of 22.20° for X-rays of 154 pm (0.154 nm), we can rearrange Bragg's law to solve for d:

d = nλ / (2 sin(θ))

Using the provided values, we can calculate:

d = 2(0.154 nm) / (2 sin(22.20°))

This calculation yields the spacing between the crystal planes, which is the answer to the student's question.

A lithium atom starts from rest at a position x = xo and falls toward zinc atom with an acceleration that depends on their separation as a(x) = 4Eϵ/m { 12 (σ^12/σ^13) -6 (σ^6/σ^7) where ϵ, m, and σ are positive constants, and the zinc atom stays fixed at position x = 0, Assume that xo > 2^(1/6)σ. a. Find an expression for how the velocity of the moving lithium atom depends on x. (It will also depend on ϵ, m, xo and σ) b. What is the distance of closest approach of the the two atoms (in terms of σ and xo)?

Answers

Answer:

Please refer to the attachment for answers.

Explanation:

Please refer to the attachment for explanation

In an aqueous solution of a certain acid the acid is 4.4% dissociated and the pH is 3.03. Calculate the acid dissociation constant Ka of the acid. Round your answer to 2 significant digits.

Answers

Answer:

4.1x10⁻⁵

Explanation:

The dissociation of an acid is a reversible reaction, and, because of that, it has an equilibrium constant, Ka. For a generic acid (HA), the dissociation happens by:

HA ⇄ H⁺ + A⁻

So, if x moles of the acid dissociates, x moles of H⁺ and x moles of A⁻ is formed. the percent of dissociation of the acid is:

% = (dissociated/total)*100%

4.4% = (x/[HA])*100%

But x = [A⁻], so:

[A⁻]/[HA] = 0.044

The pH of the acid can be calcualted by the Handersson-Halsebach equation:

pH = pKa + log[A⁻]/[HA]

3.03 = pKa + log 0.044

pKa = 3.03 - log 0.044

pKa = 4.39

pKa = -logKa

logKa = -pKa

Ka = [tex]10^{-pKa}[/tex]

Ka = [tex]10^{-4.39}[/tex]

Ka = 4.1x10⁻⁵

Final answer:

To calculate the acid dissociation constant Ka, use the pH to find the hydrogen ion concentration [H+], then determine the initial concentration of the acid before dissociation, and finally calculate Ka using the formula [H+]^2 / initial concentration. The Ka value for the acid in question is approximately 4.1 × 10^-6.

Explanation:

To calculate the acid dissociation constant Ka of the acid based on the given information, we can follow these steps:

First, determine the hydrogen ion concentration [H+] using the pH value. The pH is the negative logarithm of the hydrogen ion concentration. Since the pH is 3.03, [H+] = 10-3.03.Next, calculate the initial concentration of the acid before dissociation. The acid is 4.4% dissociated, which means that 4.4% of the initial concentration has turned into hydrogen ions and its conjugate base. If we denote the initial concentration as C, then the concentration of [H+] is 0.044 × C.Using the value of [H+], we can solve for C. C = [H+] / 0.044.Finally, the Ka value is calculated by dividing the concentration of the hydrogen ions by the initial concentration, which is [H+]^2 / C.

Let's perform the calculations:

[H+] = 10-3.03 = 9.33 × 10-4 MC = 9.33 × 10-4 M / 0.044 = 2.12 × 10-2 MKa = (9.33 × 10-4 M)^2 / 2.12 × 10-2 M = 4.1 × 10-6

Therefore, the acid dissociation constant Ka for the acid is approximately 4.1 × 10-6.

If the metabolic rate of eggs at 25oC is 0.3 ml O2/hr and their metabolic rate at 35oC is 0.6 ml O2/hr, what is the Q10

Answers

Answer:

Q₁₀ = 2

Explanation:

The Q₁₀ can be calculated by the following equation:

[tex] Q_{10} = \frac{R_{2}}{R_{1}}^{10^{\circ} C/(T_{2}-T_{1})} [/tex]

where R: is the rate and T: is the temperature

With R₁=0.3 ml O₂/h, R₂=0.6 ml O₂/h, T₁=25 °C and T₂=35 °C, the Q₁₀ is:

[tex] Q_{10} = \frac{0.6 ml O_{2}/h}{0.3 ml O_{2}/h}^{10^{\circ} C/(35 -25)^{\circ} C} = 2 [/tex]

Therefore the Q₁₀ temperature coefficient of eggs is 2.

I hope it helps you!

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