Final answer:
The molality (m) of an aqueous KCl solution with a mole fraction of KCl, XKCl = 0.175, can be calculated using the formula molality (m) = (moles of solute) / (kilograms of solvent). First, calculate the moles of KCl by multiplying the mole fraction by the mass of water and dividing by the molar mass of KCl. Then, calculate the kilograms of water by dividing the mass of water by 1000. Finally, substitute these values into the molality formula.
Explanation:
The molality (m) of an aqueous KCl solution with a mole fraction (XKCl) of 0.175 can be calculated using the following formula:
molality (m) = (moles of solute) / (kilograms of solvent)
To find the molality, we need to convert the mole fraction into moles of KCl and kilograms of water. The molar mass of KCl is 74.55 g/mol and the molar mass of H2O is 18.02 g/mol.
First, we calculate the moles of KCl:
moles of KCl = XKCl * (mass of water) / (molar mass of KCl)
Next, we calculate the kilograms of water:
kilograms of water = (mass of water) / 1000
Finally, we substitute these values into the formula:
molality (m) = moles of KCl / kilograms of water
Consider the following types of electromagnetic radiation:
(1) Microwave
(2) Ultraviolet
(3) Radio waves
(4) Infrared
(5) X-ray
(6) Visible
(a) Arrange them in order of increasing wavelength.
(b) Arrange them in order of increasing frequency.
(c) Arrange them in order of increasing energy.
Electromagnetic radiation can be arranged by wavelength, frequency, or energy. In increasing order, by wavelength, it is: X-ray, Ultraviolet, Visible, Infrared, Microwave, Radio waves. In increasing order, by frequency and energy, it is: Radio waves, Microwave, Infrared, Visible, Ultraviolet, X-ray.
Explanation:The types of electromagnetic radiation listed can be arranged by wavelength, frequency, and energy. The relationship among these three properties is that as wavelength increases, frequency and energy decrease, and vice versa.
In order of increasing wavelength, the arrangement is: X-ray, Ultraviolet, Visible, Infrared, Microwave, Radio waves.In order of increasing frequency, the arrangement is the inverse: Radio waves, Microwave, Infrared, Visible, Ultraviolet, X-ray. In order of increasing energy, the arrangement is the same as frequency, because energy and frequency are directly proportional: Radio waves, Microwave, Infrared, Visible, Ultraviolet, X-ray.Learn more about Electromagnetic Radiation here:https://brainly.com/question/2334706
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Palladium (Pd; Z 46) is diamagnetic. Draw partial orbital diagrams to show which of the following electron configurations is consistent with this fact:
(a) [Kr] 5s²4d⁸
(b) [Kr] 4d¹⁰
(c) [Kr] 5s¹4d⁹
Answer : The electron configurations consistent with this fact is, (b) [Kr] 4d¹⁰
Explanation :
Electronic configuration : It is defined as the representation of electrons around the nucleus of an atom.
Number of electrons in an atom are determined by the electronic configuration.
Paramagnetic compounds : They have unpaired electrons.
Diamagnetic compounds : They have no unpaired electrons that means all are paired.
The given electron configurations of Palladium are:
(a) [Kr] 5s²4d⁸
In this, there are 2 electrons in 's' orbital and 8 electrons in 'd' orbital. From the partial orbital diagrams we conclude that 's' orbital are paired but 'd' orbital are not paired. So, this configuration shows paramagnetic.
(b) [Kr] 4d¹⁰
In this, there are 10 electrons in 'd' orbital. From the partial orbital diagrams we conclude that electrons in 'd' orbital are paired. So, this configuration shows diamagnetic.
(c) [Kr] 5s¹4d⁹
In this, there are 1 electron in 's' orbital and 9 electrons in 'd' orbital. From the partial orbital diagrams we conclude that 's' orbital and 'd' orbital are not paired. So, this configuration shows paramagnetic.
The correct electron configuration for a diamagnetic substance like Palladium (Pd) is [Kr] 4d¹⁰. This is because diamagnetic substances like Palladium need to have all their electron orbitals fully filled, thereby having no unpaired electrons.
Explanation:The subject of this question is about the electron configuration of Palladium (Pd; Z 46), which is a diamagnetic element. Diamagnetic substances have no unpaired electrons and are not attracted to a magnetic field. Thus, to be consistent with this fact, the electron configuration of Palladium must not have any unpaired electrons.
(a) [Kr] 5s²4d⁸: This configuration would imply there are unpaired electrons in the 4d orbital, which contradicts the fact that Palladium is diamagnetic.
(b) [Kr] 4d¹⁰: This configuration correctly states that all the orbitals are filled, including the 5s orbital before the 4d orbital. Therefore, the correct electron configuration for Palladium, a diamagnetic element, is [Kr] 4d¹⁰.
(c) [Kr] 5s¹4d⁹: The proposed configuration would also suggest an unpaired electron exists in the 4d orbital, which contradicts Palladium being diamagnetic.
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Rank the following bonds from strongest to weakest and provide the bond energy: the bond between hydrogen and oxygen in a water molecule; the bond between sodium and chloride in the NaCl molecule; the bond between atoms in a metal; the van der Waals bond between adjacent hydrogen atoms.
The ranking of the bonds from strongest to weakest is: bond between atoms in a metal, bond between sodium and chloride in NaCl, bond between hydrogen and oxygen in water, and the van der Waals bond between adjacent hydrogen atoms. The bond energies for each bond are different, with the bond between atoms in a metal having the highest bond energy, followed by the bond between sodium and chloride in NaCl, the bond between hydrogen and oxygen in water, and the van der Waals bond between adjacent hydrogen atoms having the lowest bond energy.
Explanation:The ranking of the bonds from strongest to weakest is as follows:
The bond between atoms in a metal (strongest) The bond between sodium and chloride in the NaCl molecule The bond between hydrogen and oxygen in a water molecule The van der Waals bond between adjacent hydrogen atoms (weakest)
The bond energy, also known as bond dissociation energy, is the energy required to break a bond. Here are the bond energies for each bond:
The bond between atoms in a metal: high bond energy (specific values vary) The bond between sodium and chloride in the NaCl molecule: high bond energy (~788 kJ/mol) The bond between hydrogen and oxygen in a water molecule: moderate bond energy (~464 kJ/mol) The van der Waals bond between adjacent hydrogen atoms: low bond energy (negligible) Learn more about bond strength here:
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The strongest bond is the bond between atoms in a metal, followed by the bond between sodium and chloride in NaCl. The bond between hydrogen and oxygen in water is weaker than the previous two, and the van der Waals bond between adjacent hydrogen atoms is the weakest. The bond energy is high for the bonds in a metal and NaCl, moderate for the bond in water, and low for the van der Waals bond between hydrogen atoms.
Explanation:The bonds can be ranked from strongest to weakest as follows:
Bond between atoms in a metal: This bond is the strongest among the given options.Bond between sodium and chloride in the NaCl molecule: This bond is stronger than the bond between hydrogen and oxygen in a water molecule.Bond between hydrogen and oxygen in a water molecule: This bond is weaker than the bond between sodium and chloride.Van der Waals bond between adjacent hydrogen atoms: This bond is the weakest among the given options.The bond energy for each bond is:
Bond between atoms in a metal: High bond energyBond between sodium and chloride in the NaCl molecule: High bond energyBond between hydrogen and oxygen in a water molecule: Moderate bond energyVan der Waals bond between adjacent hydrogen atoms: Low bond energyLearn more about bond strength here:https://brainly.com/question/30226871
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A student reacts 20.0 mL of 0.248 M H2SO4 with 15.0 mL of 0.195 M NaOH. Write a balanced chemical equation to show this reaction. Calculate the concentrations of H2SO4 and NaOH that remain in solution after the reaction is complete, and the concentration of the salt that is formed during the reaction.
Answer: The concentration of salt (sodium sulfate), sulfuric acid and NaOH in the solution is 0.0418 M, 0.0999 M and 0 M respectively.
Explanation:
To calculate the number of moles for given molarity, we use the equation:
[tex]\text{Molarity of the solution}=\frac{\text{Moles of solute}}{\text{Volume of solution (in L)}}[/tex] .....(1)
For NaOH:
Initial molarity of NaOH solution = 0.195 M
Volume of solution = 15.0 mL = 0.015 L (Conversion factor: 1 L = 1000 mL)
Putting values in equation 1, we get:
[tex]0.195M=\frac{\text{Moles of NaOH}}{0.015L}\\\\\text{Moles of NaOH}=(0.195mol/L\times 0.015L)=2.925\times 10^{-3}mol[/tex]
For sulfuric acid:
Initial molarity of sulfuric acid solution = 0.248 M
Volume of solution = 20.0 mL = 0.020 L
Putting values in equation 1, we get:
[tex]0.248M=\frac{\text{Moles of }H_2SO_4}{0.020L}\\\\\text{Moles of }H_2SO_4=(0.248mol/L\times 0.020L)=4.96\times 10^{-3}mol[/tex]
The chemical equation for the reaction of NaOH and sulfuric acid follows:
[tex]2NaOH+H_2SO_4\rightarrow Na_2SO_4+2H_2O[/tex]
By Stoichiometry of the reaction:
2 moles of NaOH reacts with 1 mole of sulfuric acid
So, [tex]2.925\times 10^{-3}[/tex] moles of KOH will react with = [tex]\frac{1}{2}\times 2.925\times 10^{-3}=1.462\times 10^{-3}mol[/tex] of sulfuric acid
As, given amount of sulfuric acid is more than the required amount. So, it is considered as an excess reagent.
Thus, NaOH is considered as a limiting reagent because it limits the formation of product.
Excess moles of sulfuric acid = [tex](4.96-1.462)\times 10^{-3}=3.498\times 10^{-3}mol[/tex]
By Stoichiometry of the reaction:
2 moles of KOH produces 1 mole of sodium sulfate
So, [tex]2.925\times 10^{-3}[/tex] moles of KOH will produce = [tex]\frac{1}{2}\times 2.925\times 10^{-3}=1.462\times 10^{-3}mol[/tex] of sodium sulfate
For sodium sulfate:Moles of sodium sulfate = [tex]1.462\times 10^{-3}moles[/tex]
Volume of solution = [15.0 + 20.0] = 35.0 mL = 0.035 L
Putting values in equation 1, we get:
[tex]\text{Molarity of sodium sulfate}=\frac{1.462\times 10^{-3}}{0.035}=0.0418M[/tex]
For sulfuric acid:Moles of excess sulfuric acid = [tex]3.498\times 10^{-3}mol[/tex]
Volume of solution = [15.0 + 20.0] = 35.0 mL = 0.035 L
Putting values in equation 1, we get:
[tex]\text{Molarity of sulfuric acid}=\frac{3.498\times 10^{-3}}{0.035}=0.0999M[/tex]
For NaOH:Moles of NaOH remained = 0 moles
Volume of solution = [15.0 + 20.0] = 35.0 mL = 0.035 L
Putting values in equation 1, we get:
[tex]\text{Molarity of NaOH}=\frac{0}{0.050}=0M[/tex]
Hence, the concentration of salt (sodium sulfate), sulfuric acid and NaOH in the solution is 0.0418 M, 0.0999 M and 0 M respectively.
After the reaction between solutions of H2SO4 and NaOH is complete, the remaining concentrations are 0.0317 M H2SO4, 0 M NaOH, and 0.0836 M Na2SO4 are formed.
Explanation:The balanced chemical equation for the reaction between sulfuric acid (H2SO4) and sodium hydroxide (NaOH) is: H2SO4 + 2NaOH -> Na2SO4 + 2H2O. This equation shows that one mole of sulfuric acid reacts with two moles of sodium hydroxide to produce one mole of sodium sulfate (Na2SO4) and two moles of water.
Using this stoichiometry, the moles of H2SO4 and NaOH in the solutions can be calculated with moles = concentration x volume (in L). That gives us 0.020 L * 0.248 mol/L = 0.00496 mol for H2SO4 and 0.015 L * 0.195 mol/L = 0.002925 mol for NaOH.
Since one mole of H2SO4 reacts with two moles of NaOH, all of the NaOH will react, and you will have 0.00496 mol - 2* 0.002925 mol = 0.00111 mol of H2SO4 left. The concentration of H2SO4 then is 0.00111 mol / 0.035 L (sum of volumes) = 0.0317 M.
NaOH is completely reacted, so its concentration is 0 M. From the reaction stoichiometry, 0.002925 mol of Na2SO4 is formed, so its concentration is 0.002925 mol / 0.035 L = 0.0836 M.
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For an ideal gas, which pairs of variables are inversely proportional to each other (if all other factors remain constant)?
Answer:
Pressure and volume
Explanation:
The ideal gas equation is given below:
PV = nRT
P = nRT /V
If nRT is constant,
P will be inversely proportional to V(P & 1/V)
Therefore, pressure and volume are inversely proportional if all factors remains constant
In an ideal gas, pressure and volume are inversely proportional to each other if all other factors remain constant. This is known as Boyle's Law.
Explanation:In an ideal gas, pressure and volume are inversely proportional to each other if all other factors remain constant.
This is known as Boyle's Law, which states that when the volume of a given amount of gas is decreased, the pressure increases, and vice versa.
For example, if the volume of a gas is reduced by half, the pressure will double, and if the volume is doubled, the pressure will be halved.
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You analyze a sample of unknown metal as you would in this experiment. You measure the volume of H2(g) generated to be 71.85 mL and the water temperature to be 20.0°C. You calculate PH2 to be 0.781 atm. Use the ideal gas law to calculate the number of moles of hydrogen gas generated.
Answer: The number of moles of hydrogen gas generated is [tex]2.33\times 10^{-3}mol[/tex]
Explanation:
To calculate the number of moles of hydrogen gas, we use the equation given by ideal gas which follows:
[tex]PV=nRT[/tex]
where,
P = pressure of the gas = 0.781 atm
V = Volume of the gas = 71.85 mL = 0.07185 L (Conversion factor: 1 L = 1000 mL)
T = Temperature of the gas = [tex]20^oC=[20+273]K=293K[/tex]
R = Gas constant = [tex]0.0821\text{ L. atm }mol^{-1}K^{-1}[/tex]
n = number of moles of hydrogen gas = ?
Putting values in above equation, we get:
[tex]0.781atm\times 0.07185L=n\times 0.0821\text{ L.atm }mol^{-1}K^{-1}\times 293K\\\\n=\frac{0.781\times 0.07185}{0.0821\times 293}=2.33\times 10^{-3}mol[/tex]
Hence, the number of moles of hydrogen gas generated is [tex]2.33\times 10^{-3}mol[/tex]
A 1.85 mass % aqueous solution urea (CO(NH2)2)has a density of 1.05 g/mL. Calculate the molality of the solution. Give your answer to 2 decimal places.
Answer:
Molality for this solution is 0.31 m
Explanation:
Molality → Mol of solute / kg of solvent
Mass of solute = 1.85 g (CO(NH₂)₂
% by mass, means mass of solute in 100 g of solution
Mass of solution = Mass of solute + Mass of solvent
As 1.85 g is the mass of solute, the mass of solvent would be 98.15 g to complete the 100g of solution.
Let's convert the mass of solvent (g to kg)
1 g = 1×10⁻³ kg
98.2 g . 1×10⁻³ kg / 1g = 0.0982 kg
Let's convert the mass of solute to moles (mass / molar mass)
1.85 g / 60 g/mol = 0.0308 mol
Molality = 0.0308 mol / 0.0982 kg → 0.31 m
To find the molality of the solution, we calculate the number of moles of urea (0.031 mol) and the mass of water (0.10315 kg). The molality is then computed as moles of urea divided by the mass of water, which comes out to be approximately 0.30 m.
To calculate the molality of the solution, we need to first know the number of moles of the solute (urea) and the mass of the solvent (water) in kilograms.
The mass % of the solution is given as 1.85%, meaning that we have 1.85g of urea in 100g of the solution. Considering that the molar mass of urea (CO(NH2)2) is about 60.06 g/mol, the number of moles of urea can be calculated as follows: Moles of urea = mass / molar mass = 1.85g / 60.06 g/mol ≈ 0.031 mol.
Since the density of the solution is given as 1.05 g/mL, the mass of the solution for 100 mL (or 100g since density = mass/volume) would be 100 mL * 1.05 g/mL = 105g. In this 105g of the solution, 1.85g is urea, so the mass of water (solvent) would be 105g - 1.85g = 103.15g or 0.10315 kg (since 1g = 0.001 kg).
Molality is the number of solute's moles divided by the mass of solvent (in kg). Thus, the molality of the solution would be: Molality = moles of urea / mass of water in kg = 0.031 mol / 0.10315 kg ≈ 0.30 mol/kg or 0.30 m.
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There are four types of Chemical Warfare Agents (CWA). Which CWA prevents blood from providing oxygen to tissues and organs?
Answer:
Blood agent
Explanation:
chemical warfare agents are of four major types:
nerve, blister, choking and blood agents
Nerve agents - it attacks the central nervous system and can enter the body through inhalation
Blister agents - it attacks skins and it is rapidly absorbed by the skin cells
chocking agents - as name denoted, it is related to the respiratory system.
Blood agent- it attacks the circulatory system of the body. it prevents the circulation of blood into the tissue and organs
Two classrooms, labeled A and B, are of equal volume and are connected by an open door. Classroom A is warmer than classroom B (maybe it has a sunny window). Derive a formula that relates the masses of air in each room MA and MB to the temperatures TA and TB. Which room contains a greater mass of air
Answer:
Room B contains the greater mass of air
Explanation:
According to the given data, the volume of both rooms is the same, so let's consider both volumes as V. An open door connects both the room, which infer that pressure for both the rooms is also the same, let it be P.
Considering the above conditions, the general gas equation for the air in both rooms can be given as:
[tex]PV=n_{A}RT_{A}\\ \\ PV=n_{B}RT_{B}[/tex]
Here, n represents the moles of air, R is the gas constant, and T is the temperature. Taking the ratio of both the above equations we get
[tex]\frac{PV}{PV}= \frac{n_{A}RT_{A}}{n_{B}RT_{B}}\\[/tex]
moles of the gas are mass per molecular mass, as the molecular mass is the same in both the cases so n can be replaced by m, as follows
[tex]\frac{PV}{PV}= \frac{m_{A}RT_{A}}{m_{B}RT_{B}}\\[/tex]
By simplifying we get,
[tex]\frac{m_{A}}{m_{B}}=\frac{T_{B}}{T_{A}}[/tex]
According to the given conditions, TA is greater than TB. So from the derived relation, it can be seen that the mass of air in room B is greater than the mass of air in room A.
At a certain temperature this reaction follows first-order kinetics with a rate constant of 0.184 s^-1 ? Suppose a vessel contains Cl_2 O_5 at a concentration of 1.16 M. Calculate the concentration of Cl_2 O_5 in the vessel 5.70 seconds later.
To calculate the concentration of Cl2O5 in the vessel 5.70 seconds later, use the first-order rate law equation and the given rate constant and initial concentration.
Explanation:To calculate the concentration of Cl2O5 in the vessel 5.70 seconds later, we can use the first-order rate law equation.
The rate law equation for a first-order reaction is: ln([A]t/[A]0) = -kt
Where [A]t is the concentration at time t, [A]0 is the initial concentration, k is the rate constant, and t is the time.
In this case, we know the rate constant (k) is 0.184 s^-1 and the initial concentration ([A]0) is 1.16 M. We need to find the concentration at 5.70 seconds ([A]t).
Plugging in the values: ln([A]t/1.16) = -0.184 * 5.70
Solving for [A]t, we find that the concentration of Cl2O5 in the vessel 5.70 seconds later is approximately 0.64 M.
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Given data: Rate constant (k) = 0.184 s⁻¹
Initial concentration (Cl₂O₅) = 1.16 M
Time (t) = 5.70 s
To find the concentration of Cl₂O₅ after 5.70 seconds
We know that the first-order integrated rate law equation is:
ln([A]t/[A]0) = -where [A]t and [A]0 are the concentrations of reactant at time 't' and initial time '0' respectively. We can rearrange this equation to find the concentration of the reactant at any time 't':[A]t = [A]0 × e^(-kt)Putting the values in the equation, we get:
[Cl₂O₅]5.70 = 1.16 M × e^(-0.184 s⁻¹ × 5.70 s)
[Cl₂O₅]5.70 = 0.501
Therefore, the concentration of Cl₂O₅ in the vessel 5.70 seconds later is 0.501 M.
Calculate the molalities of the following aqueous solutions:________. (a) 1.22 M sugar (C12H22O11) solution (density of solution = 1.12 g/ml), (b) 0.87 M NaOH solution (density = 1.04 g/ml), (c) 5.24 M NaHCO3 solution (density = 1.19 g/ml).
a) The molality of the 1.22 M sugar solution is approximately [tex]\(1.089 \, \text{mol/kg}\).[/tex]
b) The molality of the 0.87 M NaOH solution is approximately [tex]\(0.8365 \, \text{mol/kg}\).[/tex]
c) The molality of the 5.24 M NaHCO3 solution is approximately [tex]\(4.4034 \, \text{mol/kg}\).[/tex]
(a) 1.22 M sugar (C12H22O11) solution:
Given:
- Molarity (\(M\)) of sugar solution = 1.22 M
- Density of solution = 1.12 g/ml
We'll assume that the density given is for the solution and not just for water.
1. Calculate the mass of 1 L (1000 ml) of solution:
[tex]\[ \text{mass of solution} = \text{density} \times \text{volume} \][/tex]
[tex]\[ \text{mass of solution} = 1.12 \, \text{g/ml} \times 1000 \, \text{ml} \][/tex]
[tex]\[ \text{mass of solution} = 1120 \, \text{g} \][/tex]
2. Convert the mass of the solution to kilograms:
[tex]\[ \text{mass of solution in kg} = \frac{{1120 \, \text{g}}}{{1000}} = 1.12 \, \text{kg} \][/tex]
3. Calculate the moles of sugar (C12H22O11):
[tex]\[ \text{moles of sugar} = \text{Molarity} \times \text{volume in L} \][/tex]
[tex]\[ \text{moles of sugar} = 1.22 \, \text{mol/L} \times 1 \, \text{L} = 1.22 \, \text{mol} \][/tex]
4. Calculate the molality ([tex]\(m\)[/tex]):
[tex]\[ m = \frac{{\text{moles of sugar}}}{{\text{mass of solvent in kg}}} \][/tex]
Let's perform the calculation.
For the 1.22 M sugar solution:
1. Calculate the mass of 1 L (1000 ml) of solution:
[tex]\[ \text{mass of solution} = \text{density} \times \text{volume} \][/tex]
[tex]\[ \text{mass of solution} = 1.12 \, \text{g/ml} \times 1000 \, \text{ml} \][/tex]
[tex]\[ \text{mass of solution} = 1120 \, \text{g} \][/tex]
2. Convert the mass of the solution to kilograms:
[tex]\[ \text{mass of solution in kg} = \frac{{1120 \, \text{g}}}{{1000}} = 1.12 \, \text{kg} \][/tex]
3. Calculate the moles of sugar (C12H22O11):
[tex]\[ \text{moles of sugar} = \text{Molarity} \times \text{volume in L} \][/tex]
[tex]\[ \text{moles of sugar} = 1.22 \, \text{mol/L} \times 1 \, \text{L} = 1.22 \, \text{mol} \][/tex]
4. Calculate the molality ([tex]\(m\)[/tex]):
[tex]\[ m = \frac{{\text{moles of sugar}}}{{\text{mass of solvent in kg}}} \][/tex]
[tex]\[ m = \frac{{1.22 \, \text{mol}}}{{1.12 \, \text{kg}}} \][/tex]
[tex]\[ m \approx 1.089 \, \text{mol/kg} \][/tex]
So, the molality of the 1.22 M sugar solution is approximately [tex]\(1.089 \, \text{mol/kg}\).[/tex]
(b) 0.87 M NaOH solution:
Given:
- Molarity ([tex]\(M\)[/tex]) of NaOH solution = 0.87 M
- Density of solution = 1.04 g/ml
We'll follow the same steps as above to calculate the molality.
Let's calculate for the NaOH solution.
For the 0.87 M NaOH solution:
1. Calculate the mass of 1 L (1000 ml) of solution:
[tex]\[ \text{mass of solution} = \text{density} \times \text{volume} \][/tex]
[tex]\[ \text{mass of solution} = 1.04 \, \text{g/ml} \times 1000 \, \text{ml} \][/tex]
[tex]\[ \text{mass of solution} = 1040 \, \text{g} \][/tex]
2. Convert the mass of the solution to kilograms:
[tex]\[ \text{mass of solution in kg} = \frac{{1040 \, \text{g}}}{{1000}} = 1.04 \, \text{kg} \][/tex]
3. Calculate the moles of NaOH:
[tex]\[ \text{moles of NaOH} = \text{Molarity} \times \text{volume in L} \][/tex]
[tex]\[ \text{moles of NaOH} = 0.87 \, \text{mol/L} \times 1 \, \text{L} = 0.87 \, \text{mol} \][/tex]
4. Calculate the molality (\(m\)):
[tex]\[ m = \frac{{\text{moles of NaOH}}}{{\text{mass of solvent in kg}}} \][/tex]
[tex]\[ m = \frac{{0.87 \, \text{mol}}}{{1.04 \, \text{kg}}} \][/tex]
[tex]\[ m = \frac{{0.87 \, \text{mol}}}{{1.04 \, \text{kg}}} \][/tex]
[tex]\[ m \approx 0.8365 \, \text{mol/kg} \][/tex]
So, the molality of the 0.87 M NaOH solution is approximately [tex]\(0.8365 \, \text{mol/kg}\).[/tex]
(c) 5.24 M NaHCO3 solution:
Given:
- Molarity (\(M\)) of NaHCO3 solution = 5.24 M
- Density of solution = 1.19 g/ml
Let's follow the same steps as above to calculate the molality for the NaHCO3 solution.
For the 5.24 M NaHCO3 solution:
1. Calculate the mass of 1 L (1000 ml) of solution:
[tex]\[ \text{mass of solution} = \text{density} \times \text{volume} \][/tex]
[tex]\[ \text{mass of solution} = 1.19 \, \text{g/ml} \times 1000 \, \text{ml} \][/tex]
[tex]\[ \text{mass of solution} = 1190 \, \text{g} \][/tex]
2. Convert the mass of the solution to kilograms:
[tex]\[ \text{mass of solution in kg} = \frac{{1190 \, \text{g}}}{{1000}} = 1.19 \, \text{kg} \][/tex]
3. Calculate the moles of NaHCO3:
[tex]\[ \text{moles of NaHCO3} = \text{Molarity} \times \text{volume in L} \][/tex]
[tex]\[ \text{moles of NaHCO3} = 5.24 \, \text{mol/L} \times 1 \, \text{L} = 5.24 \, \text{mol} \][/tex]
4. Calculate the molality (\(m\)):
[tex]\[ m = \frac{{\text{moles of NaHCO3}}}{{\text{mass of solvent in kg}}} \][/tex]
[tex]\[ m = \frac{{5.24 \, \text{mol}}}{{1.19 \, \text{kg}}} \][/tex]
[tex]\[ m = \frac{{5.24 \, \text{mol}}}{{1.19 \, \text{kg}}} \][/tex]
[tex]\[ m \approx 4.4034 \, \text{mol/kg} \][/tex]
So, the molality of the 5.24 M NaHCO3 solution is approximately [tex]\(4.4034 \, \text{mol/kg}\).[/tex]
Calculate the shortest wavelength of light capable of dissociating the Br–I bond in one molecule of iodine monobromide if the bond energy, or bond dissociation energy, is 179 kJ/mol .
Answer: 6.7*10^-7 m
Explanation:
The full explanation is shown in the image attached. The energy of the photon is obtained by dividing the bond energy by the Avogadro's number. Using the Plank's equation, we cash obtain the frequency or wavelength of radiation required by substituting into the given equation appropriately.
Final answer:
To calculate the shortest wavelength of light capable of dissociating the Br-I bond, the bond energy given (179 kJ/mol) is first converted to Joules per photon. Then, applying the equation E = hc / λ with Planck's constant and the speed of light gives the shortest wavelength needed to break the bond.
Explanation:
The question asks to calculate the shortest wavelength of light capable of dissociating the Br–I bond in iodine monobromide, given that the bond energy is 179 kJ/mol. To solve this, we apply the equation relating the energy of a photon (E) to its wavelength (λ), using Planck's constant (h) and the speed of light (c).
The energy of the photon needed can be calculated using the equation E = hc / λ, where h = 6.626 x 10-34 J·s (Planck's constant) and c = 3.00 x 108 m/s (speed of light). First, convert the bond dissociation energy from kJ/mol to Joules (J) by multiplying by 1000 and dividing by Avogadro's number (6.022 x 1023 mol-1), giving the energy required per molecule.
Finally, rearrange the equation to solve for λ: λ = hc / E. Plugging in the values, we find the shortest wavelength of light capable of breaking the Br–I bond. Remember, since the question gives the bond dissociation energy in kJ/mol, conversion to Joules is necessary for the calculation to proceed correctly.
A sodium atom has a mass number of 23. Its atomic number is 11. How many electrons does a neutral sodium atom have?
Answer:
it contains 11 electrons
Explanation:
How many electrons in an atom can have each of the following quantum number or sublevel designations?
(a) n = 2, l = 1
(b) 3d
(c) 4s
Answer: a:6 electrons, b:10electrons, c: 2electrons
Explanation:
1.Principle quantum number(n)
n is the number of shell, it is a positive integer. The maximum number of electrons in a shell is 2(n2)
2.Azimuthal quantum number(l)
l is the number of subshell in the principal shell
The name of subshell are s, p, d, f
The number of nodes in each subshell is
s is l=0, p is l=1, d is l=2, f is l=3.
Each shell can have 2 x l + 1 sublevels, and each sublevel can accommodate maximum of 2 electrons and have two electrons.
A. n=2, l=1 then 2 x 1 + 1= 3 subshell, 3*2= 6 electrons in the p subshell
b. 3d, d is l = 2 then 2 x 2 + 1 = 5 sublevels, 5*2=10 electrons in the d subshell
c. 4s, s is l=0 then 2 x 0 + 1 = 1 sublevel, 1*2=2 electrons in the s subshell.
In an aqueous solution containing Ni (II) and Ni (IV) salts, which cation would you expect to be the more strongly hydrated? Why?
Answer:
Well in comparison of Ni (II) and Ni (IV), Ni (IV) is a stronger vation with the +4 charge so it will attract the more oxygen ions in the aqueous solution. That is why Ni (IV) will be more strongly hydrated.
Explanation:
Final answer:
In an aqueous solution, the Ni (IV) cation is more strongly hydrated than the Ni (II) cation due to its higher charge density, which attracts more water molecules into its hydration sphere.
Explanation:
In an aqueous solution containing Ni (II) and Ni (IV) salts, the Ni (IV) cation is expected to be more strongly hydrated. This outcome is attributed primarily to the charge density. The Ni (IV) has a higher charge (+4) compared to Ni (II) which has a +2 charge. In terms of hydration, water molecules, which act as dipoles, are more strongly attracted to ions with a higher charge density. This means that the Ni (IV) ion, with its higher charge, attracts and binds water molecules more strongly than the Ni (II) ion.
This strong attraction results in a greater degree of hydration for the Ni (IV) ion as it pulls more water molecules into its hydration sphere. This process is crucial in understanding the properties of solutions, especially in predicting the behavior of ions in biological and chemical systems.
As a science major, you are assigned to the "Atomic Dorm" at college. The first floor has one suite with one bedroom that has a bunk bed for two students. The second floor has two suites, one like the one on the first floor, and the other with three bedrooms, each with a bunk bed for two students. The third floor has three suites, two like the ones on the second floor, and a third suite that has five bedrooms, each with a bunk bed for two students. Entering students choose room and bunk on a first-come, first-serve basis by criteria in the following order of importance:
(1) They want to be on the lowest available floor.
(2) They want to be in the smallest available dorm room.
(3) They want to be in a lower bunk if available.
(a) Which bunk does the 1st student choose?
(b) How many students are in top bunks when the 17th student chooses?
(c) Which bunk does the 21st student choose?
(d) How many students are in bottom bunks when the 25th student chooses?
Explanation:
A.
The first student will be on the lower bunk on the first floor because 1. They want on the lowest available floor and 2. They want to be in a lower bunk if available.
B.
7 students are in the TOP bunks because 1. They want on the lowest available floor and 2. They want to be in a lower bunk if available. Therefore, all the rooms up till the third floor (Remember, third floor has 3 suites), so the first floor is filled - 1 person on the top bunk, 2 floor is filled- 4 persons and the third floor; the first suite is filled - 1 person and the second suite is a little partially filled- 1 person.
C.
Following the criteria 1, 2 and 3, the 21st student occupies the third suite on the third floor because all the floors (1 and 2) are occupied so the third suite on the third floor is still vacant.
D.
From the criteria there are therefore 10 persons at the TOP bunk. All the rooms up till the third floor are filled, so the first floor is filled - 1 person on the top bunk, second floor is filled (2 suites) - 4 persons and the third floor; the first suite and second suite is filled - 4 persons; the thirs suite has 6 persons present so 1 person is at the top bunk.
Which of the following solutions will have the lowest freezing point? Input the appropriate letter. A. 35.0 g of C3H8O in 250.0 g of ethanol (C2H5OH) B. 35.0 g of C4H10O in 250.0 g of ethanol (C2H5OH) C. 35.0 g of C2H6O2 in 250.0 g of ethanol (C2H5OH)
Answer:
Solution with 35.0 g of [tex]C_3H_8O[/tex] in 250.0 g of ethanol will have lowest freezing point
Explanation:
[tex]\Delta T_f=K_f\times m[/tex]
where,
[tex]\Delta T_f[/tex] =depression in freezing point =
[tex]K_f[/tex] = freezing point constant
m = molality
As we can see that higher the molality of the solution more will depression in freezing point of the solution and hence lower will the freezing point of solution.
[tex]Molality=\frac{moles}{\text{mass of solvent in kg}}[/tex]
A. 35.0 g of [tex]C_3H_8O[/tex] in 250.0 g of ethanol.
Moles of [tex]C_3H_8O[/tex]=[tex]\frac{35.0 g}{60 g/mol}=0.5833 mol[/tex]
Mass of solvent i.e. ethanol = 250.0 g = 0.25 kg (1 g = 0.001 kg)
[tex]m=\frac{0.5833 mol}{0.25 kg}=2.33 m[/tex]
B. 35.0 g of [tex]C4H_{10}O[/tex] in 250.0 g of ethanol
Moles of [tex]C_4H_{10}O[/tex][tex]=[tex]\frac{35.0 g}{74 g/mol}=0.4730 mol[/tex]
Mass of solvent i.e. ethanol = 250.0 g = 0.25 kg (1 g = 0.001 kg)
[tex]m'=\frac{0.4730 mol}{0.25 kg}=1.89 m[/tex]
C. 35.0 g of [tex]C_2H_{6}O_2[/tex] in 250.0 g of ethanol
Moles of [tex]C_2H_{6}O_2[/tex]=[tex]\frac{35.0 g}{62g/mol}=0.5645 mol[/tex]
Mass of solvent i.e. ethanol = 250.0 g = 0.25 kg (1 g = 0.001 kg)
[tex]m''=\frac{0.5645 mol}{0.25 kg}=2.26 m[/tex]
[tex]m>m'''>m''[/tex]
Solution with 35.0 g of [tex]C_3H_8O[/tex] in 250.0 g of ethanol will have lowest freezing point
Make a plot of arsenate species vs. pH for a 25 mM arsenate solution. Vary pH from 0-14. Neglect activity corrections. A groundwater contaminated with arsenate has a pH range of 7.0 to 8.5. What is/are the dominant arsenate species in this range?
Pepsinogen is the inactive protease secreted by the chief cells in the stomach; this enzyme is converted to the active form called ______ in the presence of HCl. The primary role of this enzyme is the digestion of proteins in the stomach.a. Bicarbonateb. Pepsinc. Hydrochloric acid
Answer:
b. Pepsin
Explanation:
In the stomach, when dygestion takes place,pepsinogen is secreted in the stomach for the dygestion of proteins, which are catalyzed to aminoacids for the use of the body.
When the pepsinogen gets in contact with the HCl it converts to pepsin, which is the actived form of the pepsinogen.
Pepsinogen is converted into its active form, called Pepsin, under acidic conditions rendered by Hydrochloric acid (HCl). Pepsin, once activated, aids in protein digestion.
Explanation:Pepsinogen, an inactive protease, is secreted by the chief cells located in the stomach. Under the acidic condition produced by the presence of Hydrochloric acid (HCl), pepsinogen is converted into its active form, known as Pepsin. Pepsin plays an integral role in the process of digestion, specifically assisting in the breakdown of proteins in the stomach.
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Calculate the amount of heat required to completely sublime 66.0 gg of solid dry ice (CO2)(CO2) at its sublimation temperature. The heat of sublimation for carbon dioxide is 32.3 kJ/molkJ/mol. Express your answer in kilojoules. nothing kJkJ
Answer:
48.5 kJ
Explanation:
Let's consider the sublimation of carbon dioxide at its sublimation temperature, that is, its change from the solid to the gaseous state.
CO₂(s) → CO₂(g)
The molar mass of carbon dioxide is 44.01 g/mol. The moles corresponding to 66.0 g are:
66.0 g × (1 mol/44.01 g) = 1.50 mol
The heat of sublimation for carbon dioxide is 32.3 kJ/mol. The heat required to sublimate 1.50 moles of carbon dioxide is:
1.50 mol × (32.3 kJ/mol) = 48.5 kJ
A graduated cylinder contains 15.0 mLmL of water. What is the new water level after 34.0 gg of silver metal with a density of 10.5 g/mLg/mL is submerged in the water?
Answer: The new water level when silver metal is submerged is 18.24 mL
Explanation:
We are given:
Volume of graduated cylinder = 15.0 mL
To calculate volume of a substance, we use the equation:
[tex]\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}[/tex]
Density of silver metal = 10.5 g/mL
Mass of silver metal = 34.0 g
Putting values in above equation, we get:
[tex]10.5g/mL=\frac{34.0g}{\text{Volume of silver metal}}\\\\\text{Volume of silver metal}=\frac{34.0g}{10.5g/mL}=3.24mL[/tex]
New water level = Volume of silver metal + Volume of graduated cylinder
New water level = (3.24 + 15.0) mL = 18.24 mL
Hence, the new water level when silver metal is submerged is 18.24 mL
The tarnish that forms on objects made of silver is solid silver sulfide; it can be removed by reacting it with aluminum metal to produce silver metal and solid aluminum sulfide. How many moles of the excess reactant remain unreacted when the reaction is over if 5 moles of silver sulfide react with 8 moles of aluminum metal? Hint: Write a balanced chemical equation first. Enter to 1 decimal place.
When 5 moles of silver sulfide react with 8 moles of aluminum metal, there is an excess of aluminum. After the reaction is complete, 3.3 moles of the excess aluminum remain unreacted.
Explanation:The balanced chemical equation for the reaction between solid silver sulfide (Ag2S) and aluminum metal (Al) is:
3Ag2S + 2Al → 6Ag + Al2S3
Based on this equation, we can see that every 3 moles of Ag2S react with 2 moles of Al to produce 6 moles of Ag and 1 mole of Al2S3.
In the given question, 5 moles of Ag2S react with 8 moles of Al. Therefore, we have an excess of Al. To determine the moles of excess Al remaining unreacted, we can set up a ratio:
(8 moles Al reacted) / (2 moles Al required to react with 3 moles Ag2S) = x moles Ag2S / 5 moles Ag2S
Simplifying this ratio, we find:
x = (8 moles Al / 2) × (5 moles Ag2S / 3 moles Al)
x = 20/6 = 3.3 moles
Therefore, 3.3 moles of the excess reactant (Al) remain unreacted when the reaction is over.
Final answer:
After writing a balanced chemical equation for the reaction between silver sulfide and aluminum, we determine that 4.7 moles of aluminum remain unreacted when 5 moles of silver sulfide react with 8 moles of aluminum.
Explanation:
To determine the number of moles of the excess reactant that remain unreacted, we first need to write a balanced chemical equation for the reaction between silver sulfide and aluminum metal. Here is the balanced equation:
3 Ag₂S (s) + 2 Al (s) → 6 Ag (s) + Al₂S₃(s)
Using the balanced equation, we see that 3 moles of silver sulfide react with 2 moles of aluminum. Therefore, if we had 5 moles of silver sulfide, we would need 2/3 × 5 = 10/3 moles of aluminum to react completely with the silver sulfide.
Since 8 moles of aluminum were originally present, we subtract the amount of aluminum that reacted to find the excess:
8 moles Al - 10/3 moles Al = 14/3 moles Al
Thus, 14/3 moles or 4.7 moles of aluminum remain unreacted.
Why do the deprotonated organic acid (RCO2-) and protonated organic base (RNH3+) go into the aqueous layer?
Answer:
The deprotonated organic acid (RCO2-) and protonated organic base (RNH3+) go into the aqueous layer because Organic compounds that are neither acids or bases do not react with either NaOH or HCl and, therefore remain more soluble in the organic solvent and are not extracted.
Explanation:
In a certain acidic solution at 25 ∘C, [H+] is 100 times greater than [OH −]. What is the value for [OH −] for the solution?
Answer: The value of [tex][OH^-][/tex] for the solution is [tex]10^{-6}M[/tex]
Explanation:
To calculate the concentration of hydroxide ion for the solution, we use the equation:
[tex][H^+]\times [OH^-]=10^{-14}[/tex]
We are given:
[tex][H^+]=100\times [OH^-][/tex]
Putting values in above equation, we get:
[tex]100\times [OH^-]\times [OH^-]=10^{-14}[/tex]
[tex][OH^-]^2=\frac{10^{-14}}{100}[/tex]
[tex][OH^-]=\sqrt{10^{-12}}[/tex]
[tex][OH^-]=10^{-6}M[/tex]
Hence, the value of [tex][OH^-][/tex] for the solution is [tex]10^{-6}M[/tex]
The energy changes for many unusual reactions can be determined using Hess’s law.
(a) Calculate ΔE for the conversion of F⁻(g) into F⁺(g).
(b) Calculate ΔE for the conversion of Na⁺(g) into Na⁻(g).
Answer:
(a) F⁻(g) ⇒ F⁺(g) ΔE=2009 KJ/mol
(b) Na⁺(g) ⇒ Na⁻(g) ΔE=-548.6 KJ/mol
Explanation:
Hess's Law
"Energy changes for a reaction is independent of steps or route involved."
(a) F⁻(g) ⇒ F⁺(g)Now the conversion F⁻ to F⁺ is a two step reaction. In first step F⁻ loses an electron e⁻ to become neutral atom.
F⁻ ⇒ F + e⁻ ΔH=328 KJ/mol (i)
Kindly note this energy is derived from electron affinity, which is the energy changes while adding an electron to neutral atom and its same while removing an electron from ion.
In second step,
Another electron is removed from F.
F ⇒ F⁺ + e⁻ ΔH= 1681 KJ/mol (ii)
This energy is 1st ionization energy for F, which is the energy required to remove first electron from outer most shell of neutral atom.
Now the total energy change can be found by applying Hess's law and adding equations (i) and (ii);
F⁻ ⇒ F + e⁻ ΔH=328 KJ/mol
F ⇒ F⁺ + e⁻ ΔH= 1681 KJ/mol
F⁻ ⇒ F⁺ + 2e⁻ ΔH= 2009 KJ/mol
(b) Na⁺(g) ⇒ Na⁻(g)This reaction involves two steps in first Na⁺(g) gains electron and become neutral atom while in second step Na(g) accepts another electron to become Na⁻(g).
Na⁺(g) + e⁻⇒ Na(g) ΔH=-495.8 KJ/mol (i)
Na(g) + e⁻ ⇒ Na⁻(g) ΔH=-52.8 KJ/mol (ii) (By Applying Hess's Law)
Na⁺(g) + 2e⁻ ⇒ Na⁻(g) ΔH=-548.6 KJ/mol
Kindly note as there is no molar change in above mentioned reactions therefore enthalpy changes(ΔH) and internal energy changes(ΔE) are same.
Sucralfate (molecular weight: 2087 g/mol) is a major component of Carafate®, which is prescribed for the treatment of gastrointestinal ulcers. The recommended dose for a duodenal ulcer is 1.0g taken orally in 10.0 mL (2 teaspoons) of a solution four times a day. Calculate the molarity of the solution.a. 0.0005 Mb. 0.048 Mc. 0.02087 Md. 0.010 M
Answer:
Option b. 0.048 M
Explanation:
We have the molecular weight and the mass, from sulcralfate.
Let's convert the mass in g, to moles
1 g . 1 mol / 2087 g = 4.79×10⁻⁴ moles.
Molarity is mol /L
Let's convert the volume of solution in L
10 mL . 1L/1000 mL = 0.01 L
4.79×10⁻⁴ mol / 0.01 L = 0.048 mol/L
Whenever dry nitrogen from a portable cylinder is used in service and installation practice, what item is of most importance in consideration of safety?
Answer:
a relief valve is inserted in the downstream line from the pressure regulator.
Explanation:
Whenever dry nitrogen from a portable cylinder is used in service and installation practice the item of most importance in consideration of safety is a relief valve is inserted in the downstream line from the pressure regulator.
The most important item to consider for safety when using dry nitrogen from a portable cylinder in service and installation practice is a pressure regulator, which controls the flow and release of the gas. It is also crucial to inspect the system for leaks regularly.
Explanation:When using dry nitrogen from a portable cylinder in service and installation practice, the most important item to consider for safety is a pressure regulator. A pressure regulator is used to control the flow and release of nitrogen gas from the cylinder. It ensures that the pressure does not exceed safe limits and reduces the risk of an explosion or other accidents.
Additionally, it is crucial to always check for leaks in the system before using dry nitrogen. Leaks can result in the accumulation of nitrogen gas, which can displace oxygen in the air and lead to asphyxiation. Therefore, regularly inspecting the system and using appropriate leak detection methods, such as soapy water or a leak detection solution, is essential for safety.
In summary, when working with dry nitrogen from a portable cylinder, the two most important safety considerations are the use of a pressure regulator and regular inspection for leaks.
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If one wished to obtain 0.15 moles of glacial acetic acid, how many milliliters of glacial acetic acid should be obtained? Enter only the number with two significant figures.
Answer:
8.6 mL
Explanation:
Glacial acetic acid (or anhydrous acetic acid) can be thought of as pure acetic acid, and has a density of 1.05 g/cm³ (or g/mL).
To answer this problem first we convert moles of acetic acid (CH₃CO₂H) to grams, using its molar mass (60 g/mol):
0.15 mol acetic acid * 60 g/mol = 9.0 g acetic acid.Now we convert grams of acetic acid to mL, using its density:
9.0 g ÷ 1.05 g/mL = 8.6 mLSolid silver chloride, AgCI(s), decomposes to its elements when exposed to sunlight Write a balanced equation for this reaction with correct formulas for the products. What is the coefficient in front of AgCI(s) when the equation is properly balanced? 01 03 02 04
Answer: The coefficient in front of AgCl when the equation is properly balanced is 2.
Explanation:
According to the law of conservation of mass, mass can neither be created nor be destroyed. Thus the mass of products has to be equal to the mass of reactants. The number of atoms of each element has to be same on reactant and product side. Thus chemical equations are balanced.
Decomposition is a type of chemical reaction in which one reactant gives two or more than two products.
Decomposition of silver chloride is represented as:
[tex]2AgCl(s)\rightarrow 2Ag(s)+Cl_2(g)[/tex]
Thus the coefficient in front of AgCl when the equation is properly balanced is 2.
Answer:
the coefficient in front of AgCl(s) when the equation is properly balanced is 2.
Explanation:
The decomposition of solid silver chloride (AgCl) into its elements when exposed to sunlight can be represented by the following balanced chemical equation:
2AgCl(s) → 2Ag(s) + Cl2(g)
In this balanced equation:
The coefficient in front of AgCl(s) is 2.
The coefficient in front of Ag(s) is 2.
The coefficient in front of Cl2(g) is also 2.
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The volume density of atoms for a bcc lattice is 5 x 1026 m-3. Assume that the atoms are hard spheres with each atom touching its nearest neighbors. Determine the lattice constant and effective radius of the atom.
Explanation:
It is known that for a body centered cubic unit cell there are 2 atoms per unit cell.
This means that volume occupied by 2 atoms is equal to volume of the unit cell.
So, according to the volume density
[tex]5 \times 10^{26} atoms = 1 [tex]m^{3}[/tex]
2 atoms = [tex]\frac{1 m^{3}}{5 \times 10^{26} atoms} \times 2 atoms[/tex]
= [tex]4 \times 10^{-27} m^{3}[/tex]
Formula for volume of a cube is [tex]a^{3}[/tex]. Therefore,
Volume of the cube = [tex]4 \times 10^{-27} m^{3}[/tex]
As lattice constant (a) = [tex](4 \times 10^{-27} m^{3})^{\frac{1}{3}}[/tex]
= [tex]1.59 \times 10^{-9} m[/tex]
Therefore, the value of lattice constant is [tex]1.59 \times 10^{-9} m[/tex].
And, for bcc unit cell the value of radius is as follows.
r = [tex]\frac{\sqrt{3}}{4}a[/tex]
Hence, effective radius of the atom is calculated as follows.
r = [tex]\frac{\sqrt{3}}{4}a[/tex]
= [tex]\frac{\sqrt{3}}{4} \times 1.59 \times 10^{-9} m[/tex]
= [tex]6.9 \times 10^{-10} m[/tex]
Hence, the value of effective radius of the atom is [tex]6.9 \times 10^{-10} m[/tex].