PHYSICAL CHEMISTRY-STUDENT SOLN.MAN.
2nd Edition
ISBN: 9781285074788
Author: Ball
Publisher: CENGAGE L
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Chapter 4, Problem 4.73E
Interpretation Introduction
Interpretation:
The expression for
Concept introduction:
The gas which follows combined
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1) Write out the Ideal Gas Law equation and the van der Waals equation.
2) List each variable in both equations. Then provide the identity and units for each variable in your list.
3) It is possible to show how the units all cancel out for the Ideal Gas Law by showing every unit on both sides of the equation like this:
P V = n R T
(atm) (L) = (mol) (L atm/mol K) (K)
Please show that all units in the van der Waals equation cancel out in the same way
I need help with my homework. Please show me the calculation.
Suppose you have 1.25 moles of gaseous napthalene (C10H8) at T = 292 K. What is the average kinetic energy of one molecule of napthalene? (The molar mass of napthalene is 128 g/mol. You may assume that the gas molecules behave ideally.)
Chapter 4 Solutions
PHYSICAL CHEMISTRY-STUDENT SOLN.MAN.
Ch. 4 - List the sets of conditions that allow dS, dU, and...Ch. 4 - Explain why conditions for using S>0 as a strict...Ch. 4 - Explain how the equation dU+pdVTdS0 is consistent...Ch. 4 - Explain why the spontaneity conditions given in...Ch. 4 - Prove that the adiabatic free expansion of an...Ch. 4 - Derive equation 4.6 from equation 4.5.Ch. 4 - Derive equation 4.8 from equation 4.7.Ch. 4 - The third part of equation 4.9 mentions a...Ch. 4 - Calculate A for a process in which 0.160mole of an...Ch. 4 - What is the maximum amount of non-pV work that can...
Ch. 4 - Consider a piston whose compression ratio is 10:1;...Ch. 4 - When one dives, water pressure increases by 1atm...Ch. 4 - Calculate G(25C) for this chemical reaction, which...Ch. 4 - Thermodynamic properties can also be determined...Ch. 4 - Calculate G in two different ways for the...Ch. 4 - Calculate G in two different ways for the...Ch. 4 - For the reaction C(graphite)C(diamond) at 25C,...Ch. 4 - Determine G for the following reaction at 0C and...Ch. 4 - What is the maximum amount of electrical that is,...Ch. 4 - When a person performs work, it is non-pV work....Ch. 4 - Can non-pV work be obtained from a process for...Ch. 4 - Can pV work be obtained from a process for which...Ch. 4 - Batteries are chemical systems that can be used to...Ch. 4 - The value of G for any phase change at constant p...Ch. 4 - The value of G for any phase change at constant p...Ch. 4 - Under what conditions is A=0 for a phase change?...Ch. 4 - Example 4.2 calculated A for one step of a Carnot...Ch. 4 - Can CV and Cp be easily defined using the natural...Ch. 4 - Analogous to equation 4.26, what is the expression...Ch. 4 - Prob. 4.30ECh. 4 - Prob. 4.31ECh. 4 - Prob. 4.32ECh. 4 - Although ideally, U=H=0 for a gas-phase process at...Ch. 4 - Use equations 4.21 and 4.25 to explain why H and G...Ch. 4 - Prob. 4.35ECh. 4 - Which of the following functions are exact...Ch. 4 - Prob. 4.37ECh. 4 - Prob. 4.38ECh. 4 - Prob. 4.39ECh. 4 - Equation 4.19 says that (UV)S=p If we are...Ch. 4 - For an isentropic process, what is the approximate...Ch. 4 - Use the ideal gas law to demonstrate the cyclic...Ch. 4 - Prob. 4.43ECh. 4 - Prob. 4.44ECh. 4 - Evaluate (U/V)T for an ideal gas. Use the...Ch. 4 - Evaluate (U/V)T for a van der Waals gas. Use the...Ch. 4 - Repeat the previous exercise for a gas that...Ch. 4 - Determine an expression for (p/S)T for an ideal...Ch. 4 - Determine the value of the derivative {[(G)]/T}p...Ch. 4 - Prob. 4.50ECh. 4 - Prob. 4.51ECh. 4 - A 0.988-mole sample of argon expands from 25.0L to...Ch. 4 - A 3.66-mol sample of He contracts from 15.5L to...Ch. 4 - Prob. 4.54ECh. 4 - Prob. 4.55ECh. 4 - Use the Gibbs-Helmholtz equation to demonstrate...Ch. 4 - For the equation 2H2(g)+O2(g)2H2O(g)...Ch. 4 - Use equation 4.46 as an example and find an...Ch. 4 - What is the value of G when 1.00mol of water at...Ch. 4 - Prob. 4.60ECh. 4 - Prob. 4.61ECh. 4 - Prob. 4.62ECh. 4 - Prob. 4.63ECh. 4 - Prob. 4.64ECh. 4 - What is the change in the chemical potential of a...Ch. 4 - Prob. 4.66ECh. 4 - Prob. 4.67ECh. 4 - Prob. 4.68ECh. 4 - Prob. 4.69ECh. 4 - Can equation 4.62 be used to calculate for an...Ch. 4 - Prob. 4.71ECh. 4 - Of helium and oxygen gases, which one do you...Ch. 4 - Prob. 4.73ECh. 4 - Use equation 4.39 to determine a numerical value...Ch. 4 - Prob. 4.75ECh. 4 - Prob. 4.76E
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- What properties of a nonideal gas do the Vander Waals constants represent?arrow_forwardWhy is nitrogen a good choice for the study of ideal gas behavior around room temperature?arrow_forwardScottish physicist W. J. M. Rankine proposed an absolute temperature scale based on the Fahrenheit degree, now called degree Rankine abbreviated R and used by some engineering fields. If a degree Rankine is 5/9 of a degree Kelvin, what is the value of the ideal gas law constant in L. atm/mol. R?arrow_forward
- Use the approximation 1 x-1 1 x x2 to determine an expression for the virial coefficient C in terms of the van der Waals constants.arrow_forwardUnder what conditions would the van der Waals constant b be negative? Do you think there are any gases for which this occurs?arrow_forwardButane gas, C4H10, is sold to campers as bottled fuel. Its density at 25C and 1.00 atm is 2.38 g/L. What volume of butane gas at 25C and 1.00 atm is required to heat one gallon of water (d=1.00g/mL) from 25C to 98C ? The reaction for the combustion of butane (H f =125.6kJ/mol) is C4H10(g)+132 O2(g)4CO2(g)+5H2O(g)arrow_forward
- In the equation w = P V, why is there a negative sign?arrow_forwardPlease help me solve this. I am struggling to find the answers. Thank you!arrow_forwardThe ideal gas law, R, can be experimentally determined. Use the data provided below from the reaction of potassium chlorate decomposing to form oxygen gas and potassium chloride to experimentally determine the value of R in units of L•atm/mol•K. 2KClO3 (s) → 2KCl (s) + 3O2 (g) The evolved oxygen is collected over water. The relevant data from the experiment is summarized below. Mass of KClO3 used 0.0665 g Initial volume reading 46.0 mL Final volume reading 64.2 mL Temperature 22.0°C Total pressure 772.0 mm Hg A table of vapor pressures of water is also available: Temperature (°C) Vapor Pressure of Water (mm Hg) 21 18.7 22 19.8 23 21.1 24 22.4 25 23.8 What is the volume (in L) of O2 gas formed in the experiment? What is the dry pressure (in mm Hg) of O2 gas in the experiment? What is the dry pressure (in atm) of O2 gas in the experiment? What is the temperature (in K) for the experiment? How many moles of KClO3 were used in this…arrow_forward
- The ideal gas law, R, can be experimentally determined. Use the data provided below from the reaction of potassium chlorate decomposing to form oxygen gas and potassium chloride to experimentally determine the value of R in units of L•atm/mol•K. 2KClO3 (s) → 2KCl (s) + 3O2 (g) The evolved oxygen is collected over water. The relevant data from the experiment is summarized below. Mass of KClO3 used 0.0665 g Initial volume reading 46.0 mL Final volume reading 64.2 mL Temperature 22.0°C Total pressure 772.0 mm Hg A table of vapor pressures of water is also available: Temperature (°C) Vapor Pressure of Water (mm Hg) 21 18.7 22 19.8 23 21.1 24 22.4 25 23.8 How many moles of KClO3 were used in this experiment? many moles of O2 gas were evolved in this experiment? What is the experimentally determined value of the ideal gas law constant, R, expressed in L•atm/mol•K?arrow_forwardXenon and helium are both ideal, monatomic gases, but they have very different molar masses (Mxenon = 33*Mhelium). If you have 1 mole of each gas and the gases are at the same temperature, which one of the following statements is true? They both have the same internal energy, but xenon has a lower root-mean-square speed than helium. They both have the same internal energy and root-mean-square speed. They both have the same root-mean-square speed, but xenon has a greater internal energy than helium. They both have the same internal energy, but helium has a lower root-mean-square speed than xenon. They both have the same root-mean-square speed, but helium has a greater internal energy than xenon.arrow_forwardWhy is it that real gases do not behave as ideal gases at very low temperatures?arrow_forward
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