Kinetic Theory - Result Question 30

30. The molar specific heats of an ideal gas at constant pressure and volume are denoted by Cp and Cv, respectively. If γ=CpCv and R is the universal gas constant, then Cv is equal to

[2013]

(a) R(γ−1)

(b) (γ−1)R

(c) γR

(d) 1+γ1−γ

Show Answer

Answer:

Correct Answer: 30. (a)

Solution:

  1. (a) Cp−Cv=R⇒Cp=Cv+R

∵γ=CpCv=Cv+RCv=CvCv+RCv

⇒γ=1+RCv⇒RCv=γ−1

⇒Cv=Rγ−1

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