.Consider a sample containing 1.60 mol of an ideal diatomic gas. (a) Assuming the molecules rotate but do not vibrate, find the total heat capacity of the sample at constant volume. nCv = ? (b) Assuming the molecules rotate but do not vibrate, find the total heat capacity of the sample at constant pressure. nCp = ? (c) Assuming the molecules both rotate and vibrate, find the total heat capacity of the sample at constant volume. nCv =? (d)Assuming the molecules both rotate and vibrate, find the total heat capacity of the sample at constant pressure. nCp = ?

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter17: Energy In Thermal Processes: The First Law Of Thermodynamics
Section: Chapter Questions
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2.Consider a sample containing 1.60 mol of an ideal diatomic gas.

(a) Assuming the molecules rotate but do not vibrate, find the total heat capacity of the sample at constant volume.

nCv = ?

(b) Assuming the molecules rotate but do not vibrate, find the total heat capacity of the sample at constant pressure.
nCp = ?

(c) Assuming the molecules both rotate and vibrate, find the total heat capacity of the sample at constant volume.
nCv =?

(d)Assuming the molecules both rotate and vibrate, find the total heat capacity of the sample at constant pressure.
nCp = ?

Expert Solution
Step 1

Given data

The number of moles is n=1.60 mol

The number of ar a=2

(a)

The total heat capacity of the sample at constant volume is,

nCV=52nR=521.60 mol8.314 J/molK=33.256 J/K 

Thus, the total heat capacity of the sample at constant volume is 33.256 J/K.

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