26. A mole of perfect gas at 27°C is expanded isothermally from an initialpressure of 3.00 atm to a final pressure of 1.00 atm in two ways (a)reversibly, (b) against a constant external pressure of 1.00 atm. Cal-culate q, w, AU, AH, AS, ASsurr, AStot for both. (+2.74 kJ, -2.74kJ, 0, 0, 9.13 J/K, -9.13 J/K, 0 ||1.66 kJ, -1.66 kJ, 0, 0, 9.13 J/K,-5.53 J/K, 3.60 J/K)T=27°C 300 Kb) w - - Peut av = -(1 atm) (ner - herNRT)PfP₁IsoT wAU÷0q= -((atm) 1 mol. 8.314 /mol.K - 300KI atmW = -16.6 kJ.9 = 16.6 kJAS: grev=UTImol. 8.314 /mol.K·3.00K3 atm27. A block of copper of mass 500 g and initially at 293 K is in thermalcontact with an electric heater of resistance 1 kOhm and negligible

26. A mole of perfect gas at 27°C is expanded isothermally from an initial pressure of 3.00 atm to a final pressure of 1.00 atm in two ways (a) reversibly, (b) against a constant external pressure of 1.00 atm. Cal- culate q, w, AU, AH, AS, ASsurr, AStot for both. (+2.74 kJ, -2.74 kJ, 0, 0, 9.13 J/K, -9.13 J/K, 0 ||1.66 kJ, -1.66 kJ, 0, 0, 9.13 J/K, -5.53 J/K, 3.60 J/K) ISOT : Q = -162 T=27°C - 300 K

26. A mole of perfect gas at 27°C is expanded isothermally from an initial pressure of 3.00 atm to a final pressure of 1.00 atm in two ways (a) reversibly, (b) against a constant external pressure of 1.00 atm. Cal- culate q, w, AU, AH, AS, ASsurr, AStot for both. (+2.74 kJ, -2.74 kJ, 0, 0, 9.13 J/K, -9.13 J/K, 0 ||1.66 kJ, -1.66 kJ, 0, 0, 9.13 J/K, -5.53 J/K, 3.60 J/K) ISOT : Q = -162 T=27°C - 300 K

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

26. A mole of perfect gas at 27°C is expanded isothermally from an initial
pressure of 3.00 atm to a final pressure of 1.00 atm in two ways (a)
reversibly, (b) against a constant external pressure of 1.00 atm. Cal-
culate q, w, AU, AH, AS, ASsurr, AStot for both. (+2.74 kJ, -2.74
kJ, 0, 0, 9.13 J/K, -9.13 J/K, 0 ||1.66 kJ, -1.66 kJ, 0, 0, 9.13 J/K,
-5.53 J/K, 3.60 J/K)
T=27°C 300 K
b) w - - Peut av = -(1 atm) (ner - her
NRT
)
Pf
P₁
IsoT w
AU÷0
q
= -((atm) 1 mol. 8.314 /mol.K - 300K
I atm
W = -16.6 kJ.
9 = 16.6 kJ
AS: grev=
UT
Imol. 8.314 /mol.K·3.00K
3 atm
27. A block of copper of mass 500 g and initially at 293 K is in thermal
contact with an electric heater of resistance 1 kOhm and negligible

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Part A: 10 moles of ideal gas initially at 10 atm and 250 K is expanded isothermally and reversibly to a final pressure of 2 atm. Calculate W; U; and Q in Joules. Part B: The same gas in part A, starting in the same initial state, is expanded isothermally against a constant external pressure of 2 atm, to a final pressure of 2 atm. Calculate W; U; and Q in Joules for this irreversible process. Part C: The same gas in part B, starting in the same initial state, is expanded isothermally to a nal pressure of 2 atm. The process is carried out in 4 stages. First the gas is expanded against a constant pressure of 8 atm, to 8 atm. Then the gas is expanded against a constant pressure of 6 atm, to 6 atm. Then the gas is expanded against a constant pressure of 4 atm, to 4 atm. Finally, the gas is expanded against a constant pressure of 2 þtm, to 2 atm. Calculate W; U; and Q in Joules for the 4-step process.