Question

A rigid container of negligible heat capacity contains one mole of a gas. 10 calories of heat is required to increase the temperature by $2^{o}C$ in the Boyle's temperature range. The gas in container may be

• A. He
• B. $H_2$
• C. $O_2$
• D. Ar

Answer 1

Answer: (B), (C)

$H_2$
$O_2$

As we know,
$\Delta H=n{C}_v\Delta T$

$10=1\times C_v\times 2$

Therefore, $C_v=5$

$C_p-C_v=R$, and $\gamma =\frac{C_p}{C_v}$

Also, $C_v=\frac{R}{\gamma -1}=5⟹\gamma -1=\frac{2}{5}$

$\gamma =1.4$

So, gas is diatomic.