Question

The amount of heat required to increase the temperature of 1 mol of a triatomatic gas (non-linear) at constant volume is n times the amount of heat required for 1 mol of monatomic gas. The value of n will be

• A. $1$
• B. $1.3$
• C. $2$
• D. $2.5$

Answer 1

The correct option is C $2$

At constant volume,

Amount of heat required to increase the temperature of 1 mol of a triatomic gas $Q_1=n{C}_v\Delta T=1\times \left(3R\right)\times \left(1\right)=3R$

Amount of heat required to increase the temperature of 1 mol of a monoatomic gas $Q_2=n{C}_v\Delta T=1\times \left(1.5R\right)\times \left(1\right)=1.5R$

so,$\frac{Q_1}{Q_2}=2$

Hence, option C is correct.