Thermodynamics, Statistical Thermodynamics, & Kinetics
3rd Edition
ISBN: 9780321824004
Author: ENGEL, Thomas/ Reid
Publisher: Pearson College Div
expand_more
expand_more
format_list_bulleted
Question
Chapter 3, Problem 3.17NP
Interpretation Introduction
Interpretation:
Using equation
Concept Introduction :
The change in pressure with respect to temperature at constant temperature is represented as follows:
Here,
k = Isothermal compressibility
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
(*), (*):
P
Use the Euler and reciprocal relations to show that it is equivalent to
Cp - Cy = T
Ср - Cv = −T.
Сү
= -Т.
Әр
ат
av
2
T
(1)
(2)
Use this expression to evaluate Cр - Cv for (1) an ideal gas, and (2) for a van der Waals
gas.
For a van der Waals gas:
a
V2
Calculate AUm (in J mol-) for the isothermal reversible expansion of N2 gas from an initi
volume of 1.00 L to 24.8 L at 298 K. (3)
[Given: a(N2) = 1.352 L2. atm mol-2]
P7.14
Chapter 3 Solutions
Thermodynamics, Statistical Thermodynamics, & Kinetics
Ch. 3 - Prob. 3.1CPCh. 3 - Prob. 3.2CPCh. 3 - Prob. 3.3CPCh. 3 - Prob. 3.4CPCh. 3 - Why can qv be equated with a state function if q...Ch. 3 - Prob. 3.6CPCh. 3 - Prob. 3.7CPCh. 3 - Prob. 3.8CPCh. 3 - Prob. 3.9CPCh. 3 - Why is qv=U only for a constant volume process? Is...
Ch. 3 - Prob. 3.11CPCh. 3 - Why are q and w not state functions?Ch. 3 - Prob. 3.13CPCh. 3 - What is the relationship between a state function...Ch. 3 - Prob. 3.15CPCh. 3 - Is the following statement always, never, or...Ch. 3 - Is the following statement always, never, or...Ch. 3 - Prob. 3.18CPCh. 3 - Prob. 3.19CPCh. 3 - Is the expression UV=T2T1CVdT=nT1T2CV,mdT only...Ch. 3 - Prob. 3.1NPCh. 3 - Prob. 3.2NPCh. 3 - Prob. 3.3NPCh. 3 - Prob. 3.4NPCh. 3 - Prob. 3.5NPCh. 3 - Prob. 3.6NPCh. 3 - Integrate the expression =1/VV/TP assuming that ...Ch. 3 - Prob. 3.8NPCh. 3 - Prob. 3.9NPCh. 3 - Prob. 3.10NPCh. 3 - Prob. 3.11NPCh. 3 - Calculate w, q, H, and U for the process in which...Ch. 3 - Prob. 3.13NPCh. 3 - Prob. 3.14NPCh. 3 - Prob. 3.15NPCh. 3 - Prob. 3.16NPCh. 3 - Prob. 3.17NPCh. 3 - Prob. 3.18NPCh. 3 - Prob. 3.19NPCh. 3 - Prob. 3.20NPCh. 3 - Prob. 3.21NPCh. 3 - Prob. 3.22NPCh. 3 - Derive the following relation, UVmT=3a2TVmVm+b for...Ch. 3 - Prob. 3.24NPCh. 3 - Prob. 3.25NPCh. 3 - Prob. 3.26NPCh. 3 - Prob. 3.27NPCh. 3 - Prob. 3.28NPCh. 3 - Prob. 3.29NPCh. 3 - Prob. 3.30NPCh. 3 - Prob. 3.31NPCh. 3 - Prob. 3.32NPCh. 3 - Prob. 3.33NPCh. 3 - Prob. 3.34NPCh. 3 - Derive the equation H/TV=CV+V/k from basic...Ch. 3 - Prob. 3.36NPCh. 3 - Prob. 3.37NPCh. 3 - Show that CVVT=T2PT2VCh. 3 - Prob. 3.39NP
Knowledge Booster
Similar questions
- What are the numerical values of the heat capacities c-v and c-p of a monatomic ideal gas,in units of cal/mol.K and L.atm/mol.K?arrow_forwardNumerically evaluate for one mole of methane acting as a van der Waals gas at a T = 298 K and V = 25.0 L and b T = 1000 K and V = 250.0 L. Comment on which set of conditions yields a number closer to that predicted by the ideal gas law. pVT,narrow_forwardShow that = T/p for an ideal gas.arrow_forward
- 2.00-mol of a monatomic ideal gas goes from State A to State D via the path A- > B-> C-> D: State A PA = 11.0atm, VA = 13.50L State B PB = 11.0atm, VB = 6.00L State C PC = 25.0atm, VC = 6.00L State D PD = 25.0atm, VD = 20.50L Assume that the external pressure is constant during each step and equals the final pressure of the gas for that step. Calculate q for this process.arrow_forwardUse the Maxwell relations to show that a || V2 for 1.000 mole of any gas that obeys the van de Waals equation of state. What is the change in internal energy ( J) of 1 mole of a van der Waals gas that has a = 4.137 atm L? mol2 as it expands from 1.0 L to 10.0 L at 298 K? ANSWER FORMAT: Answer in 3 significant figures. Use the conversion: 1.00 Li-atm = 101.325 J. Do not include units in the answer. Do not forget the + or - sign.arrow_forward#1) Show that for a van der Waals gas, the isothermal, reversible work of expansion for 1 mole of gas is given by: w = - RT In {(V,- b) / (V; - b)} + a (1/V; – 1/V) where V, and V,are the initial and final volumes, respectively.arrow_forward
- One mole of He gas with CV,m = 3R/2 essentially independent of temperature expands reversibly from 24.6 L and 300 K to 49.2 L. Calculate the final pressure and temperature if the expansion is adiabatic.arrow_forwardOne mole of a perfect gas in 22.8 L is allowed to expand irreversibly into an evacuated vessel such that the final volume total volume is 228 L. Calculate (f)w, (g) q, (h) AH, (i) 4G and (j) AS for the gas.arrow_forwardDerive the work expression for the reversible isothermal expansion of a van der Waals gas, assuming initial and final molar volumes, ?m1 and ?m2 , respectively. Show your derivation steps.arrow_forward
- Demonstrate that the function P = Pp (T,V) = c1-+;c,T² has the appropriate total differential.arrow_forward1C.5 The virial equation of state may also be written as an expansion in terms of pressure: Z= 1 + B'p+ ... The critical constants for water, H,0, are 218.3 atm, 55.3 cm³ mol-1 and 647.4 K. Assuming that the expansion may be truncated after the second term, calculate the value of the second virial coef- ficient B'at the critical temperature. %3Darrow_forwardWhat are the appropriate units for c1 and c2?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,Chemistry: The Molecular ScienceChemistryISBN:9781285199047Author:John W. Moore, Conrad L. StanitskiPublisher:Cengage Learning
Physical Chemistry
Chemistry
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Wadsworth Cengage Learning,
Chemistry: The Molecular Science
Chemistry
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:Cengage Learning