The following sets of values for ${C_V}$ and ${C_P}$ of a gas has been reported by different students. The units are $cal/gm-mole-K.$ Which of these sets is most reliable
A${C_v} = 3,\,{C_p} = 5$
B${C_V} = 4,\,{C_P} = 6$
C${C_v} = 3,\,{C_p} = 2$
D${C_V} = 3,\,{C_P} = 4.2$
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A${C_v} = 3,\,{C_p} = 5$
a $C_{V}$ and $C_{p}$ for diatomic molecule are given by-
$C_{V}=\frac{3}{2} R$ and $C_{p}=\frac{5}{2} R$
Since, unites are in calories,
$\Rightarrow R=2 \; cal.$
$\Rightarrow C_{V}=3$ and $C_{p}=5$
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