Question

For the same rise in temperature of one mole of gas at constant volume, the heat required for a non-linear triatomic gas is $K$ times that required for monatomic gas. The value of $K$ is

• A. $1$
• B. $0.5$
• C. $2$
• D. $2.5$

Answer 1

Answer: (C)

For a non-linear triatomic gas, $C_{v}=3R$
And for a monoatomic gas, $C_{v}^{ \, }′=\frac{3}{2}R$
$\therefore \frac{Q}{Q^{′}}=\frac{C_{v}}{C_{v}^{ \, } ′}=K=\frac{3 R}{\frac{3}{2} R}=2$