$4.0\; g$ of a gas occupies $22.4 \;liters$ at NTP. The specific heat capacity of the gas at constant volume is $5.0\; JK^{–1} mol^{–1}$. If the speed of sound in this gas at NTP is $952\; ms^{–1}$, then the heat capacity at constant pressure is (Take gas constant $R = 8.3 \;JK^{–1} mol^{–1}$)

Question

( A ) $7.5 \; JK^{-1}mol^{-1}$
( B ) $8.5 \; JK^{-1}mol^{-1}$
( C ) $8.0 \; JK^{-1}mol^{-1}$
( D ) $7.0\; JK^{-1}mol^{-1}$