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Q. When an ideal diatomic gas is heated at constant pressure the fraction of the heat energy supplied which increases the internal energy of the gas is

States of Matter

Solution:

$C_{p}=C_{v}+R$
For diatomic gas, $C_{v}=\frac{5}{2} R, C_{p}=\frac{7}{2}R,$
Thus $5/2R$ factor of $C_{p}\left(7/2R\right)$ is used in increasing internal energy or heat supplied to increase internal energy of gas at constant $P$ is $=\frac{5/2R}{7/2R}=\frac{5}{7}.$