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Question: The ratio of the molar heat capacities of a diatomic gas at constant pressure to that at constant vo...

The ratio of the molar heat capacities of a diatomic gas at constant pressure to that at constant volume is

A

75\frac{7}{5}

B

32\frac{3}{2}

C

35\frac{3}{5}

D

52\frac{5}{2}

Answer

75\frac{7}{5}

Explanation

Solution

For a diatomic gas, Molar heat capacity at constant pressure,

Cp=74RC_{p} = \frac{7}{4}R

Molar heat capacity at constant volume Cr=52RC_{r} = \frac{5}{2}R

CPCV=7/2R5/2R=7/5\therefore\frac{C_{P}}{C_{V}} = \frac{7/2R}{5/2R} = 7/5