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  4. 4.48 L of an ideal gas at STP requires 12 cal to raise the temperature by 15° C at constant volume. The CP of the gas is cal.

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Q. $4.48\, L$ of an ideal gas at STP requires $ 12 \,cal$ to raise the temperature by $15^{\circ} C$ at constant volume. The $C_{P}$ of the gas is _____cal.

Thermodynamics

Solution:

$n=\frac{4.48}{22.4}=0.2$

$C_{V}=\frac{\Delta U}{n \Delta T}=\frac{12}{0.2 \times 15}=4$ cal

$C_{P}=C_{V}+R=4+2=6$ cal.