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  4. 3 mole of hydrogen is mixed with 1 mole of neon. The molar specific heat at constant pressure is

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Q. 3 mole of hydrogen is mixed with 1 mole of neon. The molar specific heat at constant pressure is

AIIMSAIIMS 2014Kinetic Theory

Solution:

For mixture, $C_{V}=\frac{n_{1}C_{V_1}+n_{2}C_{V_2}}{n_{1}+n_{2}}$
$=\frac{3\times\frac{5}{2}R+1\times\frac{3}{2}R}{3+1}=\frac{9R}{4}$
$C_{p}=C_{V}+R=\frac{9R}{4}+R=\frac{13R}{4}$