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Equal volumes of two monoatomic gases, A and B, at same temperature and pressure are mixed. The ratio of specific heats ($C_p/C_v$) of the mixture will be
A
1.67
B
0.83
C
1.50
D
3.3
Detailed Solution
For a monoatomic gas $C_v = \frac{3}{2}R$ and $C_p = \frac{5}{2}R$.
Both gases are monoatomic, so the mixture has the same molar heat capacities: $C_v = \frac{3}{2}R$, $C_p = \frac{5}{2}R$.
$\frac{C_p}{C_v} = \frac{5}{3} = 1.67$
Both gases are monoatomic, so the mixture has the same molar heat capacities: $C_v = \frac{3}{2}R$, $C_p = \frac{5}{2}R$.
$\frac{C_p}{C_v} = \frac{5}{3} = 1.67$