Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
expand_more
expand_more
format_list_bulleted
Question
Chapter 4, Problem 4.54E
Interpretation Introduction
Interpretation:
The expression of the Gibbs-Helmholtz equation is to be verified using a basic form of the Gibbs-Helmholtz equation. The importance of chain rule of derivatives in the derivation of the Gibbs-Helmholtz equation is to be stated.
Concept introduction:
The chain rule of partial derivatives follows a certain set of steps. The equation which is used in the chain rule is given below.
In the above equation,
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
JustifyTrouton"s rule. What are the sources of discrepancies?
Please explain how to use Boltzmann equation for these problems.
Chapter 4 Solutions
Physical Chemistry
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
Knowledge Booster
Similar questions
- Explain why q is a constant for a given system at a specified temperature.arrow_forwardFor the equation 2H2(g)+O2(g)2H2O(g) H(25C)=241.8kJ and G(25C)=228.61kJ. Use the Gibbs-Helmholtz equation to estimate the temperature for which G=0.arrow_forwardCan CV and Cp be easily defined using the natural variable expressions for dU and dH? Why or why not?arrow_forward
- 6.21. What assumption is used in the integration of equation 6.11 to get equation 6.12?arrow_forwardUsing the fact that =1/kT, show that equations 17.29 and 17.30 are equivalent.arrow_forwardExplain why the spontaneity conditions given in the equation 4.3 and 4.4 are in terms of the general derivatives dU and dH and not some partial derivative of U and H with respect to some other state variable.arrow_forward
- Determine an expression for (p/S)T for an ideal gas and for a van der Waals gas.arrow_forwardWhat is the value of q at absolute zero? Is it the same for all systems?arrow_forwardEquation 4.19 says that (UV)S=p If we are considering the variation of U, the change in the change of the internal energy, we can write that as see the previous problem for an analogous argument ((U)V)S=p Show that this is entirely consistent with the first law of thermodynamics.arrow_forward
- Efficiency is given by equations 3.5, 3.6, and 3.10. Although we deal mostly with ideal gases in the development of thermodynamics, experimentally we are confined to real gases. Which of the definitions of e are strictly applicable to processes involving real gases as well as ideal gases?arrow_forwardShow that =5/3 for a monatomic ideal gas.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Physical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,
Physical Chemistry
Chemistry
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Wadsworth Cengage Learning,