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Q. Molar heat capacity is the heat required to raise the temperature of one mole of material by one degree, since heat is not a state function, the amount of heat required to produce a given change in its state depends on the path followed
$C_p=$ Specific heat $\times$ Molecular weight. It is measured at constant pressure
$C_V=$ Specific heat $\times$ Molecular weight. It is measured at constant volume
The specific heat of a gas at constant volume is $0.075\, cal / g$. Predict the atomicity of the gas. Molar mass of gas is $40 \,g \,mol ^{-1}$

Thermodynamics

Solution:

$C_V=0.075 \times 40=3\, cal $
$C_p-C_V=4 $
$C_p-3=2$
$C_p=5 \, cal $
$\gamma=\frac{C_p}{C_v}=\frac{5}{3}=1.66$
Thus, gas is monatomic