Given that the molar entropy of a gas is:(+)SN=Na = R + RlnSN=Na = R + Rln((² *²+ RTi) Show that the molar entropy of a monatomic ideal gas (ignore electronic energyfor now) can be written as (P is pressure):12 * π *m*h²d(ln(q)))dT* TKB3/2*R* TVNavog* P3+-Rii) Calculate the molar entropy of Xe(g) at 298.15 K and compare this to the literaturevalue.iii) Show that the change in entropy due to expansion for an ideal, monatomic gas isthe same when using either a partition function approach or a thermodynamicapproach.

Given: Molar entropy of an Ideal Gas To Show that: Molar Entropy of an Monoatomic ideal gas

Answered: Show that the molar entropy of a…

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Show that the molar entropy of a monatomic ideal gas (ignore electronic energy

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

Given that the molar entropy of a gas is:
(+)
SN=Na = R + Rln
SN=Na = R + Rln
((² *²
+ RT
i) Show that the molar entropy of a monatomic ideal gas (ignore electronic energy
for now) can be written as (P is pressure):
12 * π *m*
h²
d(ln(q)))
dT
* T
KB
3/2
*
R* T
V
Navog
* P
3
+-R
ii) Calculate the molar entropy of Xe(g) at 298.15 K and compare this to the literature
value.
iii) Show that the change in entropy due to expansion for an ideal, monatomic gas is
the same when using either a partition function approach or a thermodynamic
approach.

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