Question

A gas mixture contains one mole $O_2$ gas and one mole He gas. Find the ratio of specific heat at constant pressure to that at constant volume of the gaseous mixture.

• A. $2$
• B. $1.5$
• C. $2.5$
• D. $4$

Answer 1

The correct option is B $1.5$

Formula for $C_V$ for a mixture is:

$n_T{C}_{VT}=n_1{C}_{V1}+n_2{C}_{V2}$

$C_{VT}=\frac{\frac{5R}{2}+\frac{3R}{2}}{2}=2R$

$C_{PT}=C_{VT}+R=3R$

Thus, ratio $=1.5$

Hence, the correct option is $\text{B}$