Answer:
a) atoms/cell = 8 atoms
b) FE = 0.3876
Explanation:
You have the following data:
ao=0.45258 nm
bo=0.45186 nm
co=0.76570 nm
density=p=5.904 g/cm^3
atomic weight=69.72 g/mol
Avogadro number = 6.02x10^23 atom/mol
a) The number of atoms per cell is calculated by clearing it from the density formula:
atoms/cell = (px(cell volume)x(Avogadro number))/atomic weight
cell volume = aoxboxco = (0.45258x10^-7cm)x(0.45186x10^-7cm)x(0.76570x10^-7cm) = 1.5659x10^-22 cm^3
replacing values:
atoms/cell = ((5.904 g/cm^3)x(1.5659x10^-22 cm^3)(6.02x10^23 atoms/cell))/69.72 g/mol = 7.9 atoms = 8 atoms
b)the packing factor is calculated by:
FE = ((atoms/cell)x(atom volume))/cell volume
atom volume = 4pixr^3/3 = 4pix(0.1219x10^-7 cm)^3/3 = 7.5875x10^-24 cm^3
FE = (8x7.5875x10^-24)/(1.5659^-22 cm^3) = 0.3876
The number of atoms in each unit cell and the packing factor in the unit cell are;
a) Number of atoms in each unit cell = 8 atoms
b) Atomic packing factor = 0.3876
We are given;
a_o = 0.45258 nm ≈ 0.45258 × 10⁻⁷ cm
b_o = 0.45186 nm = 0.45186 × 10⁻⁷ cm
c_o = 0.76570 nm = 0.7657 × 10⁻⁷ cm
Atomic radius; r = 0.1218 nm = 0.1218 × 10⁻⁷
density; ρ = 5.904 g/cm³
Atomic weight = 69.72 g/mol
Avogadro's number = 6.02 × 10²³ atom/mol
a) The number of atoms per cell is calculated by clearing it from the equation;
Number of atoms per cell = (ρ × cell volume × Avogadro number)/atomic weight
Where;
cell volume = a_o × b_o × c_o
Cell volume = 0.45258 × 10⁻⁷ × 0.45186 × 10⁻⁷ × 0.7657 × 10⁻⁷
Cell volume = 1.5659 × 10¯²² cm³
Thus;
Number of atoms per cell = (5.904 × 1.5659 × 10¯²² × 6.02 × 10²³)/69.72
Number of atoms per cell = 7.9 atoms
Number of atoms per cell ≈ 8 atoms
B) Formula for the packing factor is calculated from the formula:
Packing Factor = (number of atoms per cell x atom volume)/cell volume
Formula for atom volume is;
Atom volume = 4πr³/3
Atom volume = (4π × 0.1218 × 10⁻⁷)³/3
Atom volume = 7.5875 × 10¯²⁴ cm³
Thus;
Packing Factor = (8 x 7.5875 x 10¯²⁴)/(1.5659¯²²)
Packing Factor = 0.3876
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According to the atomic theory, ________. Group of answer choices a compound can contain different numbers of atoms as long as it has the same kinds of atoms atoms are neither created nor destroyed during a chemical reaction all atoms are different all matter is made up of tiny particles called electrons atoms of the same element combine to form compounds
According to the atomic theory, atoms are neither created nor destroyed during a chemical reaction. This emphasizes the Law of Conservation of Mass and the principle that atoms combine in simple whole number ratios to form compounds.
Explanation:According to the atomic theory, atoms are neither created nor destroyed during a chemical reaction. This principle is a part of Dalton's atomic theory, which lays the foundation for our understanding of chemical reactions. In essence, this law, often referred to as the Law of Conservation of Mass, indicates that in a chemical reaction, atoms are rearranged to form new substances, but the total number of atoms remains unchanged.
All matter is composed of atoms, which are the basic building blocks of matter. Atoms of the same element have identical properties, while atoms of different elements have unique properties. These atoms can combine in simple whole number ratios to form chemical compounds, adhering to the principle that atoms are indivisible in chemical processes.
Understanding this aspect of atomic theory is crucial for grasping the fundamentals of chemistry, as it underlines the conservation of mass in chemical reactions and the formation of compounds from atoms in specific ratios.
Valence electrons: (Select all that apply) Select all that apply:
are in the highest energy level.
are not involved in bonding.
participate in the formation of chemical bonding.
occupy the inner shell orbitals.
Valence electrons are located in the highest energy level of an atom and they participate in the formation of chemical bonds. They do not occupy the inner shell orbitals. These properties make them crucial for chemical reactions.
Explanation:Valence electrons are the electrons that are present in the outermost shell of an atom. These electrons are the ones that participate in chemical bonding as they are at the highest energy level. However, valence electrons do not occupy the inner shell orbitals. The inner shell orbitals are occupied by what we call core electrons.
In the context of bonding, it's incorrect to say that valence electrons are not involved. One of the key properties of valence electrons is that they are involved in the formation of bonds between atoms. This is because their position in the outermost shell enables them to be easily transferred or shared with other atoms to achieve a stable electron configuration.
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A mixture of He , N 2 , and Ar has a pressure of 16.7 atm at 28.0 °C. If the partial pressure of He is 1737 torr and that of Ar is 2087 mm Hg, what is the partial pressure of N 2 ?
Answer:
The answer to your question is P N₂ = 11.67 atm
Explanation:
Data
He 1737 torr
N₂ = ?
Ar 2087 mmHG
Total pressure = 16.7 atm
Process
1.- Convert torr to atm
1 atm --------------- 760 torr
x -------------- 1737 torr
x = (1737 x 1)/760
x = 2.29 atm
2.- Convert mmHg to atm
1 atm ----------------- 760 mmHg
x ---------------- 2087 mmHG
x = (2087 x 1)/760
x = 2.74
3.- Find the Partial pressure of N₂
Total pressure = He pressure + N₂ pressure + Ar pressure
- Substitution
16.7 = 2.29 + P N₂ + 2.74
- Solve for P N₂
P N₂ = 16.7 - 2.29 - 2.74
P N₂ = 11.67 atm
The nucleus of 8Be, which consists of four protons and four neutrons, is very unstable and spontaneously breaks into two alpha particles (helium nuclei, each consisting of two protons and two neutrons). True or false?
Answer: The given statement is false.
Explanation:
When there is more difference in the ratio or number of protons and neutrons then nucleus of the atom becomes unstable in nature. This unstability is caused due to greater repulsion between the like charges of sub-atomic particles.
As a result, this force of repulsion becomes greater than the binding energy. And, this force is known as the weak force because it is unable to bind the neutrons and protons together.
The proton and neutron ratio for smaller elements is 1:1 and for higher elements it has to be 1:5. Since, [tex]^{8}Be[/tex] is a smaller element with 4 protons and 4 neutrons. Hence, the proton and neutron ratio is 1:1.
Therefore, [tex]^{8}Be[/tex] is stable in nature.
Thus, we can conclude that the statement nucleus of 8Be, which consists of four protons and four neutrons, is very unstable and spontaneously breaks into two alpha particles (helium nuclei, each consisting of two protons and two neutrons), is false.
Water expands when heated. Suppose a beaker of water is heated from 10℃ to 90℃. Does the pressure at the bottom of the beaker increase, decrease, or stay the same? Explain.
The pressure at the bottom of the beaker does increase when the water is heated from 10℃ to 90℃ due to the expansion of water and the resultant increase in height of the water column.
Explanation:When a beaker of water is heated from 10℃ to 90℃, the pressure at the bottom of the beaker increases. This is because as water expands when heated, the water columns above each point at the bottom of the beaker become taller. Since pressure in a fluid is given by the equation P = hρg (where P is pressure, h is the height of the fluid column, ρ is the density of the fluid, and g is the acceleration due to gravity), an increase in height (due to expansion of water) leads to an increase in pressure.
Additionally, it's important to note that while the density of the water decreases slightly as the temperature increases, the effect of the increased height of the water column on pressure outweighs the effect of the reduced density.
If you find that the hydrogen alpha line in a star’s spectrum occurs at a wavelength of 656.45 nm, what is the star’s approximate radial velocity? Note that the rest wavelength of this line is 656.30 nm.
Answer:
The answer to the question is
The star’s approximate radial velocity is 68.52 km/s
Explanation:
To solve the
The formula is
[tex]\frac{\lambda-\lambda_{rw}}{\lambda_{rw}} = \frac{v_r}{c}[/tex] where
[tex]v_r[/tex] = velocity of the star
λ = Star's spectrum wavelength = 656.45 nm
[tex]\lambda_{rw}[/tex] = Rest wavelength = 656.30 nm
c = Speed of light = 299 792 458 m / s
Therefore we have
[tex]\frac{656.45-656.30}{656.30} =\frac{v_r}{299 792 458}[/tex] or [tex]v_r[/tex] = 68518.7699 m/s or 68.52 km/s
Describe the acid-base character of the oxides of the period 3 elements Na to Ar. For sodium oxide and Sulphur Trioxide, write balanced equations to illustrate their acid-base character.
Explanation:
The trend in the acid-base character is from strongly basic oxides to strongly acidic ones on moving from the left-hand side to the right-hand side in the periodic table. Moving from Na to Ar in middle an amphoteric oxide (aluminum oxide) is present. The element which shows both acidic and basic properties is known as amphoteric oxide. Sodium oxide Sodium oxide is a strong basic oxide which is due to the presence of the oxide ion, [tex]O_2^{-}[/tex]. It is a very strong base having a greater tendency to combine with hydrogen ions. Sodium oxide when reacts with water releases heat energy, it produces sodium hydroxide as a product.[tex]Na_2O + H_2O[/tex] → [tex]2NaOH[/tex]
Sodium oxide also reacts with acids due to its basic nature. It when gives reaction with dilute hydrochloric acid produces sodium chloride and water as a product.[tex]Na_2O + 2HCl[/tex] → [tex]2NaCl +H_2O[/tex]
2. Sulphur trioxide
Sulfur trioxide reacts violently or explosively with water to produce concentrated sulphuric acid.[tex]SO_3 + H_2O[/tex] → [tex]H_2SO_4[/tex]
The oxides of period 3 elements from Sodium to Argon have different acid-base character. Generally, metal oxides like Sodium Oxide are basic and react with water to form bases, whereas non-metal oxides like Sulphur Trioxide are acidic and react with water to form acids.
Explanation:The oxides of the period 3 elements from Sodium (Na) to Argon (Ar) present different acid-base character. In general, the metal oxides like Sodium Oxide (Na2O) are basic whereas the non-metal oxides like Sulphur Trioxide (SO3) are acidic.
Starting with Sodium Oxide, it is a basic oxide and when reacted with water, forms a base. The balanced equation is as follows:
Na2O(s) + H2O(l) -> 2NaOH(aq)
On the other hand, Sulphur Trioxide is an acidic oxide because it reacts with water to form an acid. The balanced equation for this reaction is:
SO3(g) + H2O(l) -> H2SO4(aq)
This difference in acid-base character has to do with the nature of the elements themselves: metals tend to form basic oxides, whereas non-metals form acidic or neutral oxides.
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Multiple _____ send combined messages to a bipolar cell, whereas a single _____ may link directly to a single bipolar cell. Please choose the correct answer from the following choices, and then select the submit answer button.
Answer:
Rods and Cone can best fill in the spaces.
Explanation:
Bipolar cells exist between photoreceptors (rod cells and cone cells) and ganglion cells. They act, directly or indirectly, to transmit signals from the photoreceptors to the ganglion cells.
Bipolar cells receive synaptic input from either rods or cones, or both rods and cones, though they are generally designated rod bipolar or cone bipolar cells. There are roughly 10 distinct forms of cone bipolar cells, however, only one rod bipolar cell, due to the rod receptor arriving later in the evolutionary history than the cone receptor.
In the dark, a photoreceptor (rod/cone) cell will release glutamate, which inhibits the ON bipolar cells and excites (depolarizes) the OFF bipolar cells. In light, however, light strikes the photoreceptor which causes the photoreceptor to be inhibited (hyperpolarized) due to the activation of opsins which activate All trans-Retinal, giving energy to stimulate G-Protein coupled receptors to activate phosphodiesterase (PDE) which cleaves cGMP into 5'-GMP. That is the mechanism of reaction.
Multiple photoreceptor cells send combined messages to a bipolar cell, and a single photoreceptor may directly link to a single bipolar cell.
The correct answer to the question is: Multiple photoreceptor cells send combined messages to a bipolar cell, whereas a single photoreceptor may link directly to a single bipolar cell. Photoreceptor cells are sensitive to light and transmit signals to ganglion cells that carry the signal to the brain. The communication between photoreceptors and bipolar cells in the retina is essential for visual processing.
Certain photoreceptors directly synapse onto bipolar cells, leading to direct effects, whereas other photoreceptors can synapse onto multiple bipolar cells, contributing to combined messages being sent through their graded postsynaptic potentials.
To isolate the benzoic acid from the bicarbonate solution, you should
Answer:
it is acidified with concentrated hydrochloric acid.
Calculate the energy (in kJ) required to heat 10.1 g of liquid water from 55 oC to 100 oC and change it to steam at 100 oC. The specific heat capacity of liquid water is 4.18 J/goC, and the molar heat of vaporization of water is 40.6 kJ/mol.
Answer:
[tex]\large\boxed{\large\boxed{24.6kJ}}[/tex]
Explanation:
1. Energy to heat the liquid water from 55ºC to 100ºC
[tex]Q=m\times C\times \Delta T[/tex]
m = 10.1gC = 4.18g/JºCΔT = 100ºC - 55ºC = 45ºC[tex]Q=10.1g\times 4.18J/g\ºC\times 45\ºC=1,899.81J[/tex]
2. Energy to change the liquid to steam at 100ºC
[tex]L=\lambda \times n[/tex]
λ = 40.6kJ/moln = 10.1g / 18.015g/mol = 0.5606mol[tex]L=40.6kJ/mol\times 0.5604mol=22.76214kJ=22,762.14J[/tex]
3. Total energy
[tex]1,899.81J+22,762.14J=24,661.95J\approx24,662J\approx24.6kJ[/tex]
To heat and vaporize 10.1 g of water from 55 ℃ to 100 ℃, 1.893 kJ is required for heating and 22.7643 kJ for vaporization, resulting in a total energy requirement of 24.6573 kJ.
The student is asking about the calculation of energy to heat and vaporize water. To perform the calculation, we will use two different properties of water: its specific heat capacity and its molar heat of vaporization.
Firstly, we need to calculate the energy required to heat the water from 55 ℃ to 100 ℃. The specific heat capacity of liquid water is 4.184 J/g°C. Using the formula q = mcΔT, where q is the heat energy, m is the mass of the water, and ΔT is the temperature change, we can calculate the required energy to heat the water.
q = (10.1 g)(4.184 J/g°C)(100 ℃ - 55 ℃)= (10.1 g)(4.184 J/g°C)(45 ℃)= 1892.964 J or 1.893 kJ
Secondly, we calculate the energy required to vaporize the water at 100 ℃. We need the molar heat of vaporization of water, which is 40.6 kJ/mol. To do this, we convert the mass of water to moles (given that the molar mass of water is approximately 18.02 g/mol), and then multiply by the molar heat of vaporization.
Moles of water = mass of water / molar mass of water
= 10.1 g / 18.02 g/mol≈ 0.5605 mol
Energy for vaporization = moles of water × molar heat of vaporization
= 0.5605 mol × 40.6 kJ/mol≈ 22.7643 kJ
The total energy required is the sum of the energy to heat the water and the energy to vaporize it:
Total energy = energy to heat + energy to vaporize
= 1.893 kJ + 22.7643 kJ≈ 24.6573 kJ
A generic salt, AB 2 , has a molar mass of 345 g/mol and a solubility of 8.70 g/L at 25 °C. AB 2 (s) − ⇀ ↽ − A 2 + (aq) + 2B − (aq) What is the K sp of this salt at 25 °C
Answer : The value of [tex]K_{sp}[/tex] of the generic salt is, [tex]1.60\times 10^{-5}[/tex]
Explanation :
As we are given that, a solubility of salt is, 8.70 g/L that means 8.70 grams of salt present in 1 L of solution.
First we have to calculate the moles of salt [tex](AB_2)[/tex]
[tex]\text{Moles of }AB_2=\frac{\text{Mass of }AB_2}{\text{Molar mass of }AB_2}[/tex]
Molar mass of [tex]AB_2[/tex] = 345 g/mol
[tex]\text{Moles of }AB_2=\frac{8.70g}{345g/mol}=0.0252mol[/tex]
Now we have to calculate the concentration of [tex]A^{2+}\text{ and }B^-[/tex]
The equilibrium chemical reaction will be:
[tex]AB_2(s)\rightleftharpoons A^{2+}(aq)+2B^-(aq)[/tex]
Concentration of [tex]A^{2+}[/tex] = [tex]\frac{0.0252mol}{1L}=0.0252M[/tex]
Concentration of [tex]B^-[/tex] = [tex]\frac{0.0252mol}{1L}=0.0252M[/tex]
The solubility constant expression for this reaction is:
[tex]K_{sp}=[A^{2+}][B^-]^2[/tex]
Now put all the given values in this expression, we get:
[tex]K_{sp}=(0.0252M)\times (0.0252M)^2[/tex]
[tex]K_{sp}=1.60\times 10^{-5}[/tex]
Thus, the value of [tex]K_{sp}[/tex] of the generic salt is, [tex]1.60\times 10^{-5}[/tex]
The concentration of calcium in a cell is 0.3%. The concentration of calcium in the surrounding fluid is 0.1%. How could the cell obtain more calcium?
Answer:
Primary active transport
Explanation:
In a cell, the movement of molecules like calcium ions (Ca²⁺), to a region having high solute concentration from a region having low solute concentration, through the cell membrane requires metabolic energy and is known as Primary active transport.
It is given that the concentration of calcium in the cell (0.3%) is greater than the concentration of calcium in the fluid surrounding the cell (0.1%). So the calcium ions move into the cell and the cell obtains more calcium.
Therefore, the cell obtains more calcium by the process of Primary active transport.
Florence often recalls the time when her children were young. While browsing through a store, she notices a cream-colored satin dress, edged with hand-made lace. It reminds her of a dress her daughter used to wear when she was little. She decides to buy the dress as a gift for her granddaughter. This is an example of _____.
Answer:
Autobiographical memory
Explanation:
Autobiographical memory is the memory of specific events that you experienced personally earlier in your life.
Jupiter's moon io was discovered to have high concentrations of sulfur oxides in its atmosphere. this, in combination with research into sulfur oxides relating to pollution on earth, has led to renewed interest in sulfur oxide compounds. scientists researching compounds present at low temperatures created disulfur dioxide. write the chemical formula for this compound.
Answer: The chemical formula of the given compound will be [tex]S_2O_2[/tex]
Explanation:
The compound formed is disulfur dioxide.
Covalent compound is defined as the compound which is formed by the sharing of electrons between the atoms forming a compound. These are usually formed when two non-metals react.
Disulfur dioxide is a covalent compound because sharing of electrons takes place between sulfur and oxygen. Both the elements are non-metals and hence, will form covalent bond.
The nomenclature of covalent compound is given by:
The less electronegative element is written first.The more electronegative element is written then, and a suffix is added with it. The suffix added is '-ide'.If atoms of an element is greater than 1, then prefixes are added which are 'mono' for 1 atom, 'di' for 2 atoms, 'tri' for 3 atoms and so on..Hence, the chemical formula of the given compound will be [tex]S_2O_2[/tex]
Final answer:
The chemical formula for disulfur dioxide is S₂O₂, composed of two sulfur atoms and two oxygen atoms.
Explanation:
The chemical formula for disulfur dioxide is S₂O₂. This compound consists of two sulfur atoms and two oxygen atoms. Disulfur dioxide is not as common as sulfur dioxide (SO₂), which is known for being a toxic gas with a strong odor and commonly discussed in relation to atmospheric pollution and volcanic emissions. In the context of Jupiter's moon Io, sulfur dioxide plays a significant role due to the volcanic activity there, causing sulfur and sulfur dioxide to recondense as particles and affect the moon's atmosphere and surface.
A student adds 4.00g of dry ice (solid CO2) to an empty balloon. What will be the volume of the balloon at STP after all the dry ice sublimes (converts to gaseous CO2)
According to the ideal gas law, the sum of the absolute temperature of the gas and the universal gas constant is equal to the product of the pressure and volume of one gram of an ideal gas. The volume of the balloon is 2.016 L.
The general gas equation, commonly referred to as the ideal gas law, represents the state of a fictitious ideal gas through an equation. The ideal gas law approximates the behavior of several gases under numerous conditions, despite the fact that it has a number of drawbacks.
n = (4.00 g) / (44.01 g/mol)
n = 0.090 mol
V = nRT / P
V = (0.090mol) × (0.08206 L atm / (mol K)) × (273 K) / (1 atm)
V = 2.016 L
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Using the ideal gas law and the conditions of STP, the volume of the balloon after the dry ice has sublimed would be approximately 2.24 liters.
Explanation:To solve this, we need to use the ideal gas law: PV=nRT, where P is pressure, V is
volume, n is number of moles, R is the ideal gas constant, and T is temperature. Given that the question mentions.
Standard Temperature and Pressure (STP), we know that P is 1 atmosphere and T is 273.15 K. First, calculate n by dividing the mass of CO2 (4.00g) by its molar mass (~44.01 g/mol). This gives approximately 0.09 moles. Plug these values into the ideal gas law, making sure to use R's value for volume in liters (0.0821 L*atm/mol*K). This yields a final
volume of approximately 2.24 liters.
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The solutions that are mixed contain agno3 and nacl. What two products can be formed by exchange of the ions from these two reactants?
Answer:
NaNO₃ and AgCl are the two products that can be formed.
Sodium nitrate, an aqueous solution and a solid silver chloride (precipitate)
Explanation:
We determine the dissociation of both salts
AgNO₃ (aq) → Ag⁺ (aq) + NO₃⁻ (aq)
NaCl (aq) → Na⁺ (aq) + Cl⁻ (aq)
We make the ionic equation:
Ag⁺ (aq) + NO₃⁻ (aq) + Na⁺ (aq) + Cl⁻ (aq) → NaNO₃(aq) + AgCl (s) ↓
NaNO₃ and AgCl are the two products that can be formed on exchanging ions.
Sodium nitrate, an aqueous solution and a solid silver chloride (precipitate)
Dissociation of salts:We determine the dissociation of both salts.
AgNO₃ (aq) → Ag⁺ (aq) + NO₃⁻ (aq)
NaCl (aq) → Na⁺ (aq) + Cl⁻ (aq)
Ionic equation:
Ag⁺ (aq) + NO₃⁻ (aq) + Na⁺ (aq) + Cl⁻ (aq) → NaNO₃(aq) + AgCl (s) ↓
Thus, NaNO₃ and AgCl are the two products that can be formed.
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An aqueous solution of ammonium sulfate is allowed to react with an aqueous solution of calcium nitrate. The net ionic equation contains which of the following species (when balanced in standard form)
The complete question is:
An aqueous solution of ammonium sulfate is allowed to react with an aqueous solution of calcium nitrate.
The net ionic equation contains which of the following species (when balanced in standard form)?
a. 2NO3-(aq)
b. Ca2+(aq)
Answer:
b. Ca2+(aq)
Ca2+ (aq) + SO4^2-(aq) --------------> CaSO4(s)
Explanation:
The overall ionic equation is:
Ca2+(aq) + 2NO3-(aq) + 2NH4+(aq) + SO4^2-(aq) ---------------> CaSO4(s) + 2NH4NO3(aq)
The NO3- and NH4+ are spectator ions as they do not participate in the formation of the precipitate CaSO4.
The net ionic equation is:
Ca2+ (aq) + SO4^2-(aq) --------------> CaSO4(s)
The spectator ions form the soluble ammonium trioxonitrate V
Write a chemical equation that illustrates the autoionization of water.
Answer:
The autoionization of water is:
2H₂O ⇄ H₃O⁺ + OH⁻ Kw
Explanation
2 moles of water can generate hydronium and hydroxide, when they work as an acid or as a base
If we take account that the concentration of protons (hydroniums), at the standard temperature is 1×10⁻⁷ M, it can be considered that the molarity of water is a constant that can be incorporated into a “greater” constant that also includes to Kc and that is known as ionic product of water, Kw. The expression is:
Kw = [H₃O⁺] . [OH⁻] / [H₂O]²
We do not include water → Kw = [H₃O⁺] . [OH⁻]
Since the water dissociation reaction produces the same concentration of H₃O⁺ as OH⁻, [OH⁻] in pure water will also be 1×10⁻⁷ M
Kw = 1×10⁻⁷ . 1×10⁻⁷ = 1×10⁻¹⁴
pKw = pH + pOH
14 = 7 + 7
The autoionization of water can be represented by the chemical equation H2O(l) + H2O(l) -> H3O+ (aq) + OH- (aq). At 25 °C, two out of every billion water molecules are ionized, resulting in the formation of hydronium ions and hydroxide ions. The equilibrium constant for this process is Kw, which has a value of 1.0 × 10-14 at 25 °C.
Explanation:The autoionization of water can be represented by the chemical equation:
H2O(l) + H2O(l) → H3O+ (aq) + OH–(aq)
The equilibrium constant for this reaction is called the ion-product constant for water, Kw. At 25 °C, Kw has a value of 1.0 × 10-14. This indicates that at this temperature, approximately two out of every billion water molecules undergo autoionization to produce hydronium ions (H3O+) and hydroxide ions (OH–).
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A sample of solid NH 4HS is placed in a closed vessel and allowed to equilibrate. Calculate the equilibrium partial pressure (atm) of ammonia, assuming that some solid NH 4HS remains.
Answer:
The answer to the question is
The equilibrium partial pressure (atm) of ammonia, assuming that some solid NH₄HS remains 0.26 atm.
Explanation:
To solve the question, we write out the chemical equation as follows
NH₄HS (s) ⇄ NH₃ (g) + H₂S (g)
From the above equation, it is observed that only the gaseous products contribute to the partial pressure
Kp =PNH₃·PH₂S where at Kp = 0.070 and PNH₃, PH₂S are the partial pressures of the gases
However since the number of moles of both gases are equal, therefore by Avogadro's law PNH₃ = PH₂S
Then PNH₃ = √(0.07) = PH₂S = 0.2645 atm. ≅ 0.26 atm.
What alkyl halide forms the following alkene as the only product in an elimination reaction?
Answer:
C(CH3)3 I - iodide
Explanation:
The alkyl halide forming the alkene cis-2-pentene as the only product in an elimination reaction is 2-chloropentane. The elimination reaction causes the removal of the halogen (chlorine) and a hydrogen on adjacent carbons, resulting in a pi bond between them, producing the alkene cis-2-pentene.
Explanation:The alkyl halide that would form the alkene cis-2-pentene as the only product in an elimination reaction would be 2-chloropentane. The elimination reaction involves the removal of a halogen (chlorine) and a hydrogen on adjacent carbons, creating a pi bond between them.
This is called a beta-elimination reaction, and specifically for 2-chloropentane, it's dehydrohalogenation the process forming the alkene cis-2-pentene as the sole product.
The IUPAC name of the alkyl halide is 2-chloropentane, and the product of the halogenation reaction is cis-2-pentene.
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An iron chloride compound contains 55.85 grams of iron and 106.5 grams of chlorine. What is the most likely empirical formula for this compound?
Answer:
[tex]FeCl_{3}[/tex]
Explanation:
[tex]Moles =\frac {Given\ mass}{Molar\ mass}[/tex]
mass of Fe = 55.85 g
Molar mass of Fe = 55.85 g/mol
Moles of Fe = 55.85 / 55.85 = 1
mass of Cl = 106.5 g
Molar mass of Cl = 35.5 g/mol
Moles of Cl = 106.5 / 35.5 = 3
Taking the simplest ratio for Fe and Cl as:
1 : 3
The empirical formula is = [tex]FeCl_{3}[/tex]
Now you will solve the same problem as above, but using the quadratic formula instead of iterations, to show that the same value of x is obtained either way. using the quadratic equation to calculate [h3o+] in 0.00250 m hno2, what are the values of a, b, c and x , where a, b, and c are the coefficients in the quadratic equation ax2+bx+c=0, and x is [h3o+]? recall that ka=4.5×10−4 .
Answer:
a: 1
b: 4.5x10⁻⁴
c: 1.125x10⁻⁶
[H₃O⁺] = 0.000859M
Explanation:
As HNO₂ is a weak acid, its equilibrium in water is:
HNO₂(aq) + H₂O(l) ⇄ H₃O⁺(aq) + NO₂⁻(aq)
Equilibrium constant, ka, is defined as:
ka = 4.5x10⁻⁴ = [H₃O⁺] [NO₂⁻] / [HNO₂] (1)
Equilibrium concentration of each specie are:
[HNO₂] = 0.00250M - x
[H₃O⁺] = x
[NO₂⁻] = x
Replacing in (1):
4.5x10⁻⁴ = x × x / 0.00250M - x
1.125x10⁻⁶ - 4.5x10⁻⁴x = x²
0 = x² + 4.5x10⁻⁴x - 1.125x10⁻⁶
As the quadratic equation is ax² + bx + c = 0
Coefficients are:
a: 1
b: 4.5x10⁻⁴
c: 1.125x10⁻⁶
Now, solving quadratic equation:
x = -0.0013 → False answer, there is no negative concentrations.
x = 0.000859
As [H₃O⁺] = x; [H₃O⁺] = 0.000859M
I hope it helps!
Water at 80 deg. F and 20 psia is heated in a chamber by mixing it with saturated water vapor at 20 psia. If both streams enter the mixing chamber at the same mass flow rate, determine a) the temperature (Ans. approx 230 deg. F) and b) the quality of the exiting steam (Ans. around 0.4).
Answer:
see explain
Explanation:
Given that,
Water pressure P 1 = 20 psia
Water temperature T 1 = 80F
Steam pressure P 2 = 20 psia
Calculating the enthalpy of steam and water at given pressure and temperature by using a steam table
h 1 = 48.07 BTU/lb
h 2 = 1156.20 BTU/lb
The enthalpy of water is determine using the saturated liquid approximation for the given temperature with the data from A -4E. the enthalpy of the vapor is determine from A - 5E for given pressure .the enthalpy of the mixture is determine from the energy balance.
[tex]m_1h_1 + m_2h_2 = m_3h_3\\m_1h_1 + m_2h_2 =2mh_3\\h_3 = \frac{h_1 + h_2}{2} \\= \frac{48.07 + 1156.2}{2} \\602.135\frac{btu}{ibm} \\[/tex]
the quality of the mixture is determine from the total enthalpy and the enthaipies of the constituent at the given pressure obtained from A - 5E
[tex]q = \frac{h_3 - h_l_i_q_2_0}{h_e_v_a_p_2_0} \\ = \frac{602.135 - 196.27}{959.93} \\ = 0.423[/tex]
≅ 0.4
the mixture temperature is simply the saturation temperature for the given pressure obtain from A - 5E
T₃ = 227.92°F
≅ 230°F
How many grams of hydrogen are necessary to react completely with 50.0 g of nitrogen
Answer:
25.0 grams
Explanation:
Answer:
25.o grams needed to react to 50 grams of nitrogen
How do humans contribute to these excessive levels of phosphorus
Final answer:
Humans contribute to excessive levels of phosphorus through the use of phosphorus-containing detergents, artificial fertilizers, and runoff from animal husbandry. This leads to eutrophication in aquatic ecosystems.
Explanation:
Humans contribute to excessive levels of phosphorus through activities such as using detergents that contain phosphorus, using artificial fertilizers that contain phosphorus, and runoff from animal husbandry. When phosphorus-containing detergents were introduced in the 1950s, it increased the amount of phosphorus available to algae and other plant life in wastewater. This led to excessive growth of algae in lakes, which decreased oxygen levels and caused harm to fish and other aquatic organisms.
The reaction between potassium chlorate and red phosphorus takes place when you strike a match on a matchbox. If you were to react 37.1 g of potassium chlorate () with excess red phosphorus, what mass of tetraphosphorus decaoxide () could be produced
25.55 grams of tetraphosphorus decaoxide could be produced by the reaction.
Explanation:
First the balanced chemical reaction of the production of tetraphosphorus decaoxide is to be known.
The chemical equation is
10 KClO3 + 3P4⇒ 3 P4010 + 10 KCl
The number of moles of KCLO3 will be calculated by the formula:
number of moles = mass of the compound given ÷ atomic mass of the compound
n = 37.1 ÷ 122.55 ( atomic mass of KClO3 is 122.55 gm/mole)
= 0.30 moles
From the stoichiometry
10 moles of KClO3 is required to produce 3 moles of P4O10
when 0.30 moles of KClO3 is used x moles of P4O10 is formed
thus, 3 ÷ 10 = x ÷ 0.30
= 0.09 moles of KClO3 is produced
To know the mass of P4O10 apply the formula
mass = number of moles × atomic mass
= 0.09 × 283.886 ( atomic mass of P4O10 is 283.88 gram/mole)
= 25.55 grams of P4O10 could be produced.
A certain first-order reaction has a rate constant of 5.50×10−3 s−1. How long will it take for the reactant concentration to drop to 18 of its initial value?
To calculate the time required for the reactant concentration to drop to 18% of its initial value in a first-order reaction, we can use the integrated rate law equation and solve for time.
Explanation:The given question is about a first-order reaction and the task is to calculate the time required for the reactant concentration to drop to 18% of its initial value. In order to solve this, we can use the first-order integrated rate law equation: ln([A]/[A]0) = -kt, where [A] is the reactant concentration at a given time, [A]0 is the initial reactant concentration, k is the rate constant, t is the time, and ln is the natural logarithm function. Rearranging the equation, we get t = -ln(18/100)/k. Substituting the given rate constant (k = 5.50×10−3 s−1) into the equation, we can calculate the time required.
Learn more about First-order reaction here:https://brainly.com/question/1769080
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The time for the reactant concentration to drop to [tex]\frac{1}{8}[/tex] in a first-order reaction is about 378 seconds.
To find out how long it will take for the reactant concentration to drop to [tex]\frac{1}{8}[/tex] of its initial value in a first-order reaction, we can use the integrated rate law formula:
[tex]\[ \ln \left( \frac{[A]}{[A]_0} \right) = -kt \][/tex]Here, [A] is the final concentration, [A]₀ is the initial concentration, k is the rate constant, and t is the time. Given that the rate constant (k) is 5.50 × 10⁻³ s⁻¹ and for the concentration to drop to [tex]\frac{1}{8}[/tex] of its initial value, we need [tex]\frac{[A]}{[A]_0} = \frac{1}{8}[/tex]:
First, we rewrite the equation to solve for t: ln([tex]\frac{1}{8}[/tex]) = -5.50 × 10⁻³ × tThe natural logarithm of [tex]\frac{1}{8}[/tex] is ln([tex]\frac{1}{8}[/tex]) = ln(0.125) ≈ -2.07944Plug this value into the rearranged integrated rate law: -2.07944 = -5.50 × 10⁻³ × tSolve for t: [tex]\[ t = \frac{2.07944}{5.50 \times 10^{-3}} \approx 378 \, \text{s} \][/tex]Therefore, it will take approximately 378 seconds for the reactant concentration to drop to [tex]\frac{1}{8}[/tex] of its initial value.
Complete Question: -
A certain first-order reaction has a rate constant of 5.50×10⁻³ s⁻¹. How long will it take for the reactant concentration to drop to [tex]\frac{1}{8}[/tex] of its initial value?
A chemist must prepare 0.9 L of sodium hydroxide solution with a pH of 13.40 at 25°C. He will do this in three steps: Fill a 0.9 L volumetric flask about halfway with distilled water. Weigh out a small amount of solid sodium hydroxide and add it to the flask. Fill the flask to the mark with distilled water. Calculate the mass of sodium hydroxide that the chemist must weigh out in the second step.
Answer:
9.04 g
Explanation:
Given that:
pH of NaOH = 13.40
pOH = 14 - pH
pOH = 14 - 13.40
pOH = 0.6
Now, from there we can find the concentration of NaOH = [OH⁻]
= [tex]10^{-pOH}[/tex]
= [tex]10^{-0.6}[/tex]
= 0.2512 M
Given that; volume = 0.9 L
∴ number of moles of NaOH = volume × concentration of NaOH
= 0.9 × 0.2512
= 0.2261 moles
mass of NaOH = number of moles of NaOH × molar mass of NaOH
mass of NaOH = 0.2261 × 40
mass of NaOH = 9.04 g
1) An aerosol can contains gases under a pressure of 4.50 atm at 20.0 degrees Celsius. If the can is left on a hot, sandy beach, the pressure of the gases increases to 4.78 atm. What is the Celsius temperature on the beach? HINT: Temperature must be in Kelvin while solving the problem.
2) A sample of gas contains NO, NO2, and N2O. The pressure of the gas mixture is 4.68 atm. The pressure of NO is 501.6 mm Hg, whereas the pressure of NO2 is 2.54 atm. What is the pressure of N2O? HINT: All pressure units must be the same.
Answer:
Explanation:
1) An aerosol can contains gases under a pressure of 4.50 atm at 20.0 degrees Celsius. If the can is left on a hot, sandy beach, the pressure of the gases increases to 4.78 atm. What is the Celsius temperature on the beach?
Given data:
Initial pressure = 4.50 atm
Initial temperature = 20.0°C (20 +273 = 293 K)
Final pressure = 4.78 atm
Final temperature = ? (in °C)
Solution:
According to the Gay-Lussac law,
The temperature of given constant amount of a gas at constant volume is directly proportional to its absolute temperature.
Mathematical expression:
P₁/T₁ = P₂/T₂
P₁ = Initial pressure
T₁ = Initial temperature
P₂ = Final pressure
T₂ = Final temperature
Now we will put the values:
P₁/T₁ = P₂/T₂
4.50 atm / 293 k = 4.78 atm / T₂
T₂ = 4.78 atm. 293 k / 4.50 atm
T₂ = 1400.54 atm.K / 4.50 atm
T₂ = = 311.23 k
K to °C
311.23 k - 273.15 = 38.08°C
2) A sample of gas contains NO, NO2, and N2O. The pressure of the gas mixture is 4.68 atm. The pressure of NO is 501.6 mm Hg, whereas the pressure of NO2 is 2.54 atm. What is the pressure of N2O? HINT: All pressure units must be the same.
Given data:
Total pressure of gaseous mixture = 4.68 atm
Pressure of NO = 501.6 mmHg
Pressure of NO₂ = 2.54 atm
Pressure of N₂O = ?
Solution:
The given problem will be solve through the Dalton law of partial pressure.
According to this law,
" The total pressure of mixture of a gas is equal to the sum of partial pressure of all the component of gas"
Now we will convert the pressure of NO₂ in to atm.
Pressure of NO = 501.6/760 = 0.66 atm
Formula:
Total pressure = partial pressure of NO + partial pressure of NO₂ + partial pressure of N₂O
4.68 atm = 0.66 atm + 2.54 atm + partial pressure of N₂O
4.68 atm = 3.2 atm + partial pressure of N₂O
Partial pressure of N₂O = 4.68 atm - 3.2 atm
Partial pressure of N₂O = 1.48 atm
To confirm the answer:
Total pressure = partial pressure of NO + partial pressure of NO₂ + partial pressure of N₂O
4.68 atm = 0.66 atm + 2.54 atm + 1.48 atm
4.68 atm = 4.68 atm
The element that can act like a metal when it is under tremendous pressure and is probably responsible for Jupiter and Saturn's magnetism is:__________. 1. hydrogen 2. water 3. helium 4. unobtanium 5. gold
Answer:
1. Hydrogen
Explanation:
These planets contain liquid hydrogen in their interior, while the earth has liquid iron in it.
When liquid hydrogen is in tremendous pressure enviroments, the electrons that make up each atom of this element end up "jumping" to other atoms. These "jumps" allow liquid hydrogen to behave like a metal.
In addition, with the constant energy released by the nucleus of planets like Jupiter and Saturn, as well as their rotations, the liquid hydrogen receives induction of currents, giving rise to extremely powerful magnetic fields.
The element that can act like a metal when it is under tremendous pressure and is probably responsible for Jupiter and Saturn's magnetism is hydrogen. Therefore the correct option is 1.
The element that can act like a metal when it is under tremendous pressure and is probably responsible for Jupiter and Saturn's magnetism is hydrogen. In the giant planets such as Jupiter and Saturn, pressures become so immense that hydrogen changes from a gaseous state to a liquid state. Deeper inside these planets, the liquid hydrogen is further compressed until it begins to exhibit metallic properties, such as the ability of its electrons to move freely, which enables it to conduct electricity. This transition occurs because, in a metal, electrons are not bound tightly to their parent nuclei, allowing for easier movement. This property of liquid metallic hydrogen is crucial for the generation of magnetic fields in Jupiter and Saturn.