$50 \,cal$ of heat is required to raise the temperature of $1$ mole of an ideal gas from $20^{\circ} C$ to $25^{\circ} C$, while the pressure of the gas is kept constant. The amount of heat required to raise the temperature of the same gas through same temperature range at constant volume is ........ $cal$ $(R=2 \,cal / mol -K )$
A$70$
B$60$
C$40$
D$50$
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C$40$
c (c)
$C_P=\frac{50}{n T}=10 \,cal K ^{-1} mol ^{-1}$
$C_P=C_V+R$
$C_V=C_P-R$
$C_V=40 \,cal K ^{-1} mol ^{-1}$
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