Use C8H18 as the formula for gasoline and 0.71g/mL as its density. If a car gets 31.2 miles per gallon, what volume of CO2 measured at 28°C and 732 torr is produced on a trip of 235 miles? Assume complete combustion of gasoline.

Answers

Answer 1

Answer:

[tex]\boxed{\text{4.5 m}^{3}}[/tex]

Explanation:

Step 1. Calculate the volume of gasoline used.

[tex]V = \text{235 mi} \times \dfrac{\text{1 gal}}{\text{31.2 mi}} \times \dfrac{\text{3.875 L}}{\text{1 gal}} = \text{28.51 L}[/tex]

Step 2. Calculate the moles of octane used.

[tex]n = \text{28.51 L} \times \dfrac{\text{1000 mL}}{\text{1 L}} \times \dfrac{\text{0.71 g}}{\text{1 mL}} \times \dfrac{\text{1 mol}}{\text{114.23 g}} = \text{177 mol}[/tex]

Step 3. Calculate the moles of CO₂ formed

            C₈H₈ + 10O₂ ⟶ 8CO₂ + 4H₂O

n/mol:   177

[tex]n = \text{177 mol C$_8$H$_8$} \times \dfrac{\text{8 mol CO$_2$}}{\text{1 mol C$_8$H$_8$}} = \text{1420 mol CO$_2$}[/tex]

Step 4. Calculate the volume of CO₂

[tex]p =\text{732 torr} \times \dfrac{\text{1 atm}}{\text{760 torr}} = \text{0.9632 atm}[/tex]

R = 0.082 06 L·atm·K⁻¹mol⁻¹

T = 28 °C = 301.15 K

[tex]pV = nRT\\\\V = \dfrac{nRT}{p}\\\\V =\dfrac{177 \times 0.08206 \times 301.15}{0.9632} = \text{4500 L = 4.5 m}^{3}\\\\\text{The volume of CO$_2$ released is }\boxed{\textbf{4.5 m}^{\mathbf{3}}}[/tex]


Related Questions

Is hot dog relish homogeneous or heterogeneous

Answers

heterogenous, because it's a mix

Final answer:

Hot dog relish is a heterogeneous mixture because its composition is not uniform throughout. It contains visible differences in its components, such as pieces of vegetables like cucumber, onion, and peppers that are distributed unevenly in the relish.

Explanation:

A hot dog relish is a heterogeneous mixture because its composition is not uniform throughout. Heterogeneous mixtures are characterized by having visible differences in their components. For example, hot dog relish contains small pieces of vegetables like cucumber, onion, and peppers that are distributed unevenly in the relish. You can visually identify the different components present in a hot dog relish, making it a heterogeneous mixture.

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when lead nitrate reacts whith sodium iodide, sodium nitrate and lead iodide are formed if i start with 25.0 grams of lead nitrate and 15.0 grams of sodium iodide, find the percent yield if this reaction forms 6.0 g of sodium nitrate during the experiment
Pb(NO3)2+ 2NaL--> PbL2+ 2NaNO3

















Answers

So you find the moles of the lead nitrate by doing mass/Mr so 25/331.2 which gives you 0.075

Due to stoichiometry in the reaction we see 1:2 ratio so we do 0.075x2 gives 0.15 moles of NaNO3

Then mass: moles x Mr so 0.15 x 85= 12.75g is your theoretical

So % yield is actual/ theoretical x 100

Therefore 6.0g/12.75 g x 100 = 47%

Not sure if it’s correct hope it helps!

who named earth if no one knew what earth was?​

Answers

WOW! I never thought of that.... Is this a question on the test?

when 1.0g of diethyl ether is converted to vapor at its boiling point, about how much heat is absorbed? (C4H10O, Hvap= 15.7kj/mol, boiling point:34.6°C)

A) 2 J
B) 2 kj
C) 0.2 J
D) 0.2 kj

(Please show how you got the answer.)​

Answers

Answer:

Option D = 0.2 Kj

Explanation:

Given data:

Mass of diethyl ether = 1.0 g

Hvap = 15.7 Kj / mol

Heat absorbed = ?

Solution:

Q = mass ×  Hvap /  molar mass

Q = 1.0 g × 15.7 Kj / mol / 74.12 g/mol

Q = 15.7 Kj / 74.12

Q =  0.212 KJ

Answer:

its A)

Explanation:

Which statement is part of the kinetic molecular theory?

Answers

Answer:

Explanation:

Kinetic Molecular Theory states that gas particles are in constant motion and exhibit perfectly elastic collisions.The average kinetic energy of a collection of gas particles is directly proportional to absolute temperature only.

Answer: Kinetic Molecular Theory states that gas particles are in constant motion and exhibit perfectly elastic collisions.

Explanation: Kinetic Molecular Theory can be used to explain both Charles' and Boyle's Laws. The average kinetic energy of a collection of gas particles is directly proportional to absolute temperature only.

I need help ASAP!!!!!!!!!

Answers

B. The hole in the ozone layer got smaller

C. The hole in the ozone layer over Antarctica got bigger.

If you look at the Dobson unit scale the lighter the color over Antarctic the greater the ozone hole gets.

What is the formula for the compound barium hydroxide pentahydrate?

Answers

Answer: Ba(OH)2.5H20

Explanation:

The salt is a hygroscopic and contains 5 moles (penta) of water attached to it, hence the ".5H2O".

Yes, blue copper sulfate pentahydrate can be ground and used as a pigment for making paint. Copper sulfate pentahydrate is a compound that contains copper, sulfur, and oxygen. When ground into a fine powder, it can create a blue pigment that is commonly used in paint.

The reason why copper sulfate pentahydrate can be used as a pigment is because of its chemical properties. Copper sulfate pentahydrate has a vibrant blue color due to the presence of copper ions. These ions absorb certain wavelengths of light, reflecting only the blue color. When mixed with a binder, such as a resin or oil, the ground copper sulfate pentahydrate can be easily applied to a surface to create a blue hue.

However, it's important to note that copper sulfate pentahydrate can be toxic if ingested or inhaled, so precautions should be taken when handling and using it. It is always recommended to follow safety guidelines and use appropriate protective equipment when working with any potentially hazardous materials.

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A sample of gas with a volume of 2.0 L at STP is found to have a mass of 1.43 g. Calculate the molecular mass of this gas. Is it possible this gas is methane? Why or why not?

Answers

Answer:

15.9gmol⁻¹

The gas could have been methane when we compare the two molecular masses.

Oxygen gas, O₂ also shares this same number for its molecular mass. This would be the reason why it would not be methane.

Explanation:

Given parameters:

Volume of gas at STP = 2.0L or 2.0dm³(1L = dm³)

Mass  of the gas = 1.43g

Unknown:

Molecular mass of the gas = ?

Solution

We can find the number of moles using the mole concept according to the equation below:

          number of moles = ³⁻¹[tex]\frac{volume occupied(dm^{3} )}{22.4dm^{3}mol^{-1} }[/tex]

number of moles = [tex]\frac{2.0dm^{3} }{22.4dm^{3}mol^{-1}  }[/tex]

number of moles = 0.089mol

Using this obtained number of moles, we can derive the molecular mass of the compound by using the relationship between mass and number of moles according to the equation below:

                  molecular mass = [tex]\frac{mass}{number of moles}[/tex]

molecular mass = [tex]\frac{1.43}{0.089}[/tex]

molecular mass of the gas = 15.9gmol⁻¹

The formula of methane gas is CH₄.

Let's calculate the molecular mass of methane using these atomic masses:

C = 12g and H = 1g

The molecular mass = 12 + (1x4) = 16gmol⁻¹

The gas could have been methane when we compare the two molecular masses.

Oxygen gas, O₂ also shares this same number for its molecular mass. This would be the reason why it would not be methane.

What best describes the heat transfer when kinetic energy is converted into potential energy?

A)exothermic
B)endothermic
C)both
D)neither

Answers

The conversion of kinetic energy to potential energy is neither exothermic nor endothermic, as it involves the transformation of energy forms within a system, not heat transfer to or from the environment. Option D is correct.

The conversion of kinetic energy to potential energy does not involve heat transfer but rather the transformation of one form of mechanical energy to another within a system. An exothermic process is one in which energy is released to the surroundings, usually in the form of heat, such as when a solid burns brightly, while an endothermic process absorbs energy from the surroundings.

For example, when two chemicals are mixed and their temperature drops, it is considered endothermic because the chemical system absorbed heat from the surroundings.

Hence, D. is the correct option.

Soluble substances can dissolve in certain solvents true or false

Answers

Answer:

True

Explanation:

Soluble substances dissolve.

Therefore they wouldn't be called soluble if they can't dissolve in solvents

Happy to help

Pls mark as Brainliest.

Soluble substances can dissolve in certain solvents this statement is true.

Solubility can be defined as the property of a given substance or solute to mix with a solvent. The solute can be a solid, liquid or gas which can be dissolved into a liquid solvent. Certain substances or solutes are solvable in all solvents in a particular proportion to form a solution. This property is called miscibility. The solubility can be seen in the case of polar solute and solvent. For example, ethanol is soluble in water.

Hence, the given statement is true.

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I have a cylinder sitting in my lab that contains 0.7500 L of gas, and it's pressure is 16.24 psi. If I relieve the cylinder and change the pressure to 6.961 psi, what will be the new volume of the gas in L?

Answers

Answer:

1.633L

Explanation:

P1 = 16.24psi

V1 = 0.700L

P2 = 6.961psi

V2 = ?

Using Boyle's law, P1V1 = P2V2

V2 = P1V1/P2

V2 = 16.24*0.7/6.961

V2 = 1.633L

Help ASAP ! Due tomorrow.

Answers

Answer:

1. 0.6678 atm.

2. 181.9 mm Hg.

3. 379.8 K = 106.8°C.

4. 691.8 mm Hg.

Explanation:

We can use the general law of ideal gas: PV = nRT.  

where, P is the pressure of the gas in atm.

V is the volume of the gas in L.

n is the no. of moles of the gas in mol.

R is the general gas constant,

T is the temperature of the gas in K.

If n and V are constant, and have different values of P and T "Lussac law":  

(P₁T₂) = (P₂T₁)

Q1:

∵ (P₁T₂) = (P₂T₁)

P₁ = 0.5 atm, T₁ = 25°C + 273 = 298 K.  

P₂ = ??? atm, T₂ = 125°C + 273 = 398 K.

∴ P₂ = (P₁T₂)/(T₁) = (0.5 atm)(398 K)/(298 K) = 0.6678 atm.

Q2:

∵ (P₁T₂) = (P₂T₁)

P₁ = 47.0 mm Hg, T₁ = 77.0 K.  

P₂ = ??? mm Hg, T₂ = 25°C + 273 = 298 K.

∴ P₂ = (P₁T₂)/(T₁) = (47.0 mm Hg)(298 K)/(77 K) = 181.9 mm Hg.

Q3:

∵ (P₁T₂) = (P₂T₁)

P₁ = 248.0 kPa, T₁ = 0°C + 273 = 273 K. .  

P₂ = 345.0 kPa, T₂ = ??? K.

∴ T₂ = (P₂T₁)/(P₁) = (345.0 kPa)(273 K)/(248.0 kPa) = 379.8 K = 106.8°C.

Q4:

∵ (P₁T₂) = (P₂T₁)

P₁ = 745.0 mm Hg, T₁ = 22°C + 273 = 294 K. .  

P₂ = ??? mm Hg, T₂ = 0°C + 273 = 273 K.

∴ P₂ = (P₁T₂)/(T₁) = (745.0 mm Hg)(273 K)/(294 K) = 691.8 mm Hg.

Explain how you calculate the net force in any direction on the box

Answers

The magnitude of the net force acting on an object is equal to the mass of the object multiplied by the acceleration of the object as shown in the formula below. If the net force acting on an object is zero, then the object is not accelerating and is in a state that we call equilibrium.

The net force in any direction on the box is the product of its mass and acceleration of box in direction of motion.

What is Force?

The force is the action of push or pull which makes an object to move or stop.

The net force acting on any object is the product of the mass of the object and the acceleration of the object

F = m x  a

If an object is moving with constant velocity, the net force acting on it is zero because the object will not be accelerating or in equilibrium state.

As, the acceleration is the vector quantity, the force is also a vector quantity. Thus, in the direction of force, the box will be accelerated.

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2.5 moles of sodium chloride is dissolved
to make 0.050 liters of solution.

Answers

whats the question?????

In a hydrogen fusion reaction two lighter hydrogen nuclei merge to form a heavier more stable helium nucleus. The energy that is released in a hydrogen fusion reaction is

Answers

Answer:

is very large and it provides the needed temperature for another set of fusion

Explanation:

Nuclear fusion is the combination of two atomic nuclei into larger ones.

One of such is used in making hydrogen bonds.

In nuclei fusion,

²₁ H + ²₁ H → ⁴₂He + energy

This is an example of nuclear fusion.

The energy helps to further the fusion process and a chain reaction occurs and a massive amount of energy is released.

Consider the following reaction:
iron (s) + chlorine (g) à iron (III) chloride
a. Write the balanced chemical equation.
b. 25.0 g of iron reacts with excess chlorine gas.
a. Calculate the moles of iron reactant.
b. Calculate the moles of iron (III) chloride.
c. Calculate the mass of iron (III) chloride.

Answers

Answer:

1) a. 2Fe(s) + 3Cl₂(g) → 2FeCl₃(s).

2) a. 0.4477 mol.

b. 0.4477 mol.

c. 72.61 g.

Explanation:

1) Consider the following reaction:  iron (s) + chlorine (g) à iron (III) chloride

a. Write the balanced chemical equation.

The balanced equation should apply the law of conversation of mass that the no. of different atoms is equal in both sides of the reaction (reactants and products sides).

So, the balanced chemical equation is:

2Fe(s) + 3Cl₂(g) → 2FeCl₃(s).

It is clear that 2 mol of Fe(s) react with 3 mol of Cl₂(g) to produce 2 mol of FeCl₃(s).

2) 25.0 g of iron reacts with excess chlorine gas.  

a. Calculate the moles of iron reactant.

The no. of moles of Fe (n) can be calculated using the relation:

n = mass/molar mass = (25.0 g)/(55.845 g/mol) = 0.4477 mol.

b. Calculate the moles of iron (III) chloride.

Using cross multiplication:

2 mol of Fe produce → 2 mol of FeCl₃, from stichiometry.

∴ 0.4477 mol of Fe produce → 0.4477 mol of FeCl₃.

∴ The no. of moles of iron (III) chloride produced is 0.4477 mol.

c. Calculate the mass of iron (III) chloride.

We can calculate the mass of iron (III) chloride produced using the relation:

mass of  iron (III) chloride = (no. of moles)*(molar mass) = (0.4477 mol)*(162.2 g/mol) = 72.61 g.

Final answer:

The balanced chemical equation for the reaction between iron and chlorine is 2 Fe(s) + 3 Cl2(g) → 2 FeCl3(s). A total of 0.448 moles of iron reacts with excess chlorine to produce 0.448 moles of iron (III) chloride, with a mass of 72.67 g.

Explanation:

The balanced chemical equation for the reaction between iron (s) and chlorine (g) to form iron (III) chloride (FeCl3) is: 2 Fe(s) + 3 Cl2(g) → 2 FeCl3(s).

To calculate the moles of iron reactant, use the molar mass of iron, which is 55.85 g/mol. Moles of iron = mass of iron ÷ molar mass of iron = 25.0 g ÷ 55.85 g/mol = 0.448 moles of iron.

The stoichiometry of the reaction shows that 1 mole of iron reacts with 1.5 moles of chlorine to produce 1 mole of iron (III) chloride. Therefore, the moles of iron (III) chloride produced from 0.448 moles of iron is also 0.448 moles.

To calculate the mass of iron (III) chloride produced, multiply the moles of iron (III) chloride by its molar mass (162.20 g/mol). Mass of iron (III) chloride = moles of iron (III) chloride × molar mass of iron (III) chloride = 0.448 moles × 162.20 g/mol = 72.67 g.

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Need help on this ASAP !!!!

Answers

Answer:

2Na + I₂ → 2NaI. "Synthesis reaction"

Explanation:

To balance the equation, you should apply the law of conservation of mass for the equations.

The law of conservation of mass states that the no. of each atom is equal in both sides (reactants and products).

The balanced equation is:

2Na + I₂ → 2NaI.

It is a synthesis reaction that 2 reactants give 1 product.

That 2.0 mole of Na combined with 1.0 mole of I₂ to produce 2.0 moles of NaI.

The no. of all atoms is the same in both of reactants and products side.

Na (2), and I (2).

A yield of NH3 of approximately 98% can be obtained at 200°C and 1,000 atmospheres of pressure.

How many grams of N2 must react to form 1.7 grams of ammonia, NH3?

Answers

Answer:

1.429 g of  N₂

Explanation:

The Haber process is a reaction that combines nitrogen with hydrogen to form ammonia according to the following balanced equation:

N₂ ₍g₎ + 3 H₂ ₍g₎ ⇆  2NH₃ ₍g₎  

One can note that 1 mol of N₂ react with H₂ to produce 2 mol of NH₃.

We cannot compare weight of a substance (in grams) to another in chemical reactions, but we can use moles, then we have to convert the weight of NH3 to moles.

no. of moles of NH₃ = (mass / molar mass) = (1.7 g / 17 g/mol) = 0.1 mol

and the actual yield is 98% , then the theoretical number of moles that would be produced are:  

percent yield = (actual yield / theoretical yield) × 100

98 = (0.1 mol /  theoretical yield) × 100

theoretical no. of moles of NH₃ = (0.1 * 100) /98 = 0.102 mol

using cross multiplication

1 mol of N₂ → 2 mol of NH₃.

?? mol of N₂ → 0.102 mol of NH₃.

no of moles of N₂ = [(1 mol * 0.102 mol) / 2 mol] = 0.051 mol

Last step is to convert the moles back to grams using:

mass = (no of moles of N₂  * molar mass of N₂)

         = (0.051 mol * 28 g/mol) = 1.429 g

The transfer of energy by heat flow through a substance is accomplished by

Answers

The transfer of energy by heat flow through a substance is accomplished by convection.

Answer:

The real answer is conduction.

Trust me on this one, it's correct. If you put the other answer, you will get it wrong. The answer is conduction, and I am 100% positive! :)

How many grams would 3.36 × 1023 molecules of copper (II) sulfate (CuSO4) weigh?

Answers

Answer:

The mass of copper(II)sulfate are, 89.6 grams

Explanation:

Molecules of  =

Molar mass of  = 160 g/mole

First we have to calculate the moles of .

As,  number of atoms present in 1 mole of

So,  number of atoms present in  mole of

Now we have to calculate the mass of

Therefore, the mass of copper(II)sulfate are, 89.6 grams

A balloon filled with air has volume of 4.24 liters at 23.00°c if the balloon is cooked at constant pressure to 5.00°c what is it’s new volume? The balloons volume at 5°c is _____ liters

Answers

Answer: pV = nRT , or  V = \frac{nRT}{p} , with p - pressure, V - volume, n - amount of substance, T - temperature in K.

Then:  \frac{V_2}{V_1} = \frac{n_2RT_2p_1}{p_2n_1RT_1}  

n_2 = n_1 ,  p_2 = p_1  

V_2 = V_1 \cdot \frac{T_2}{T_1} = 4.24 \frac {(273.00+5.00)}{(273.00+23.00)}=3.98 l   Explanation

The new  volume is calculated using the Charles law formula

that is V1/ T1 = V2/T2  where,

V1 = 4.24 l

T1= 23c  into kelvin = 23  +273 =296 K

T2 = 5.00 c into kelvin = 5.00 + 273 = 278 K

V2 = ?

by making  V2 subject the subject of the formula  by multiplying both side by T2

V2 = V1 xT2/ T1

V2 =  (4.24 L   x 278 K)  / 296 k  =3.98 L

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Explanation:

Answer:

Explanation:

They need to receive commands from Earth and send the data they collect back to Earth. ... These radio dishes also receive the information sent to Earth by the spacecraft. NASA spacecraft operating well out of Earth's orbit use the Deep Space Network (DSN).

5,6-dimethyl-2-octyne

Answers

see photo for drawing :)
Final answer:

5,6-dimethyl-2-octyne is an organic compound with eight carbon atoms in the longest chain, a triple bond starting on the second carbon, and methyl groups attached to the fifth and sixth carbons.

Explanation:

The subject of the question, 5,6-dimethyl-2-octyne, is a compound in organic chemistry. It is a type of Alkyne, a hydrocarbon with a carbon-carbon triple bond. In this case, 'octyne' tells us there are eight carbon atoms in the longest chain, with the triple bond starting at the second carbon. '5,6-dimethyl' tells us that there are methyl groups (-CH3) attached to the fifth and sixth carbons in the chain.

For comparison, consider 4-fluoro-4-methyl-1-octyne from your reference. '4-fluoro-4-methyl' indicates there is a methyl group and a fluorine atom on the 4th carbon, and '1-octyne' specifies there are eight carbons and the triple bond starts at the first carbon.

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What implications need to be considered when creating environmental policies?
Check all that apply.

How much will it cost?
How will it affect the environment?
How will it affect people?
Is the benefit worth the cost?
How will it reduce tourist activity?

Answers

Answer:

How will it affect the environment? Is its benefit worth the cost?

Explanation:

when creating environmental policies you should always look into if it is worth it or not and how it will affect the environment  

Answer:

It is A,B,C and D

Explanation:

I just took the test

which of these is the most accurate description of the job of an art conservationist?

Answers

Answer:

Preserve paintings and different works of art

We have that for the Question "Which of these is the most accurate description of the job of an art conservationist?" it can be said that The option  bearing the description "An art conservationist is a Person who's profession is to persevere art works for as much time as possible as it gains value over time just like wine" is the best description of the job of an art conservationist?

From the question we are told

Which of these is the most accurate description of the job of an art conservationist?

Generally

An art conservationist is a Person who's profession is to persevere art works for as much time as possible as it gains value over time just like wine

Therefore

The option  bearing the description "An art conservationist is a Person who's profession is to persevere art works for as much time as possible as it gains value over time just like wine" is the best description of the job of an art conservationist?

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Two opposing reaction (a + b c+D) occurring simultaneously

Answers

Answer:

redox reaction

Explanation:

it's the only reaction occurs simultaneously, reduction and oxidation occur at the same time

is a process of reacting an acid with a base until an equivalence point is reached
Calorimetry
Distillation
Titration
Buretting

Answers

It’s TITRATION DJDKSKDKXKDKDKKD please name me brainest

How many grams are in 98 L of o2 at stp

Answers

Answer:

139.9 g ≅ 140.0 g.

Explanation:

We can use the general law of ideal gas: PV = nRT.

where, P is the pressure of the gas in atm (P = 1.0 atm, standard P).

V is the volume of the gas in L (V = 98.0 L).

n is the no. of moles of the gas in mol (n = ??? mol).

is the general gas constant (R = 0.0821 L.atm/mol.K),

T is the temperature of the gas in K (T = 273 K, standard T).

∴ n = PV/RT = (1.0 atm)((98.0 L)/(0.0821 L.atm/mol.K)(273 K) = 4.37 mol.

To find the grams of O₂, we can use the relation:

n = mass/molar mass.

mass of O₂ = (n)*(molar mass) = (4.37 mol)(32.0 g/mol) = 139.9 g ≅ 140.0 g.

What chemical phenomenon accounts for the elasticity seen in solids?

Answers

Answer:

covalent bond  

ionic bond

hydrogen bond

hope this helps enjoy

Explanation:

Final answer:

The elasticity seen in solids is due to the forces between atoms acting like springs that can be stretched or compressed but not easily broken. This allows solids to return to their original shape after the external forces causing deformation are removed.

Explanation:

Elasticity in solids is a result of the atoms in the material being in close contact and vibrating but not changing positions with neighboring atoms. The forces between the atoms act like springs that can be stretched or compressed but not easily broken. This resistance to deformation and ability to return to their original shape is what causes the elasticity seen in solids. For example, when a solid is stretched, the atomic springs are stretched, but when the force is removed, the springs bring the material back to its original shape.

The reactions listed below are either chemical reactions or nuclear reactions. Which are nuclear reactions? Check all that apply.

Answers

It is seen that in first and third ones elements are not changed but only their chemical arrangements are changed. both are chemical reactions.

In the second and last one elements are changed after the reaction and as we know non chemical reactions are not capable of doing that so they are nuclear reactions.

There are other ways to tell like checking number of neutrons as well but in this simple case I don't think it is necessary to check those.

Good luck!

Answer:

B and D

Explanation:

Option A is incorrect as it is a neutralization reaction. Option C is incorrect as it an oxidation reaction, the rusting of iron to form iron oxide.  

Option B and D are nuclear reactions called alpha decay.  

In an alpha decay, a helium atom is released, and the daughter nucleus formed has atomic number 2 less than the parent nucleus and mass number 4 less than the parent nucleus.  

In the image, two circles are centered at A. The circle containing B was dilated to produce the circle containing B′. What is the scale factor of the dilation?

Answers

The scale factor of a dilation is determined by comparing measurements of an original figure and its dilation. In the case of two-dimensional figures like circles, one common approach is to compare corresponding lengths or distances in both figures. In this case, without specific numerical measurements, we can't provide a concrete numerical value for the scale factor.

In order to find the scale factor of the dilation, it's important to understand what a dilation is first. In maths, when we are working with geometry, a dilation takes a figure and scales it larger or smaller. The scale factor is the measure by which the original figure is stretched or shrunk.

We calculate the scale factor by comparing the measurements of an original figure and its dilation. For two-dimensional figures, if we compare corresponding lengths in the pre-image and image, we can determine the scale factor. However, in this question, we aren't given specific numbers. If we assume the distance from A to B is r and from A to B' is r', the scale factor would then be r'/r.

In the special case of circles, a dilation centered at the center of the circle will create a similar circle with a scale factor equal to the ratio of their radii or, equivalently, to the square root of the ratio of their areas. If we had actual numeric values for those lengths or areas, we could provide a definite number for the scale factor.

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These are triangles with congruent angles and proportional sides. The dividing of india into two nations was referred to as how do you find the surface area and volume of this?the height is 10 and the sides of the hexagon are 6 How would the colonists describe the King of England? Find the component form of -u - v given that u=(-5,6) and v =(7,-3) The waiting time for customers at MacBurger Restaurants follows a normal distribution with a population standard deviation of 1 minute. At the Warren Road MacBurger, the quality-assurance department sampled 50 customers and found that the mean waiting time was 2.75 minutes. At the 0.05 significance level, can we conclude that the mean waiting time is less than 3 minutes? State the null hypothesis and the alternate hypothesis. State whether the decision rule is true or false: Reject H0 if z < 1.645. True False Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) What is your decision regarding H0? Reject H0 Do not reject H0 What is the p-value? (Round your answer to 4 decimal places.) Next Visit question mapQuestion 3 of 4 Total 3 of 4 Prev You have a solution that is 18.5% (v/v) methyl alcohol. if the bottle contains 2.61 l of solution, what is the volume (v) in milliliters of methyl alcohol? The cones are similar. Find the volume of cone B. Write your answer in terms of pi. Qu informa al pblico sobre la moda y los estilos de vida? una novela una tira cmica una revista la videoconsola Tangent theta is undefined for theta equals French!!!--------------------Decide if the following sentence is grammatically CORRECT or INCORRECTIl y a des carottes dans l'assiette.CorrectIncorrectFill in the blank with the correct possessive adjective. ___ cuisine est sale (dirty). Tu dois la nettoyer.TaSaMesVotreDecide if the following statement is grammatically CORRECT or INCORRECT.Pre Jean-Luc est prtre.CorrectIncorrectSubstitute the underlined word with a Direct Object Pronoun.J'aime regarder les toiles. Je les aime regarder.J'aime regarder les.J'aime les regarder.Je l'aime regarder.Decide if the following sentence is grammatically CORRECT or INCORRECT. Jordan aime sa famille.CorrectIncorrect Identify the independent clause in the following sentence. When you arrive, please call me. a. When you arrive c. please call me b. When you d. none of the above Please select the best answer from the choices provided A B C D please answer quick! Which statement about the Black Death that struck Europe in the fourteenth century is correct?A. The plague left Great Britain more powerful than any other country because the plague did not spread to there.B. Feudal lords gained greater control over the serfs who depended on them.C. Most Europeans turned away from religion when their prayers did no good in stopping the disease.D. The effects of the plague on Europe encouraged scholars to study medicine and natural science. what is logical equivalence Identify rather the underlined clause is an adjective clause adverb clause or noun clause after they had traveled for several years the people settle near the freshwater source. Elements occur in a number of isotopic forms. In this problem, you will learn about the notation used to distinguish different isotopes.How many protons Z and how many neutrons N are there in a nucleus of the most common isotope of silicon, 28/14Si? Please help me with this math question! What type of music was often used for protest songs during the civil rights movement? a. folk music b. world music c. tone poems D none of the above smokeless tobacco use compound to cigarette smokers, have a higher rate ofOral cancerLung cancerkidney stonesprostate cancer You would like to emphasize certain key terms on a slide with a bold format. Which slide element should you modify to provide this effect? Steam Workshop Downloader