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Question

The difference between Cp and Cv can be derived from H=U+PV. Calculate the difference between Cp and Cv for 7.5 moles of an ideal gas.

A
82.36 Jmol1K1
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B
72.36 Jmol1K1
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C
62.36 Jmol1K1
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D
52.36 Jmol1K1
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Solution

The correct option is C 62.36 Jmol1K1
From first law, ΔU=q+w
For a constant volume system, w = 0 and ΔU=nCvdT = heat at constant volume
where n is the number of moles of the gas
Similarly, ΔH=nCpdT = Heat at constant pressure
We know, Cp Cv=nR for n mole of a gas
Cp Cv =7.5×8.314 Jmol1K1
= 62.36 Jmol1K1

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