Question

What will be the ratio of molar capacities for monoatomic gas ($C_v=3$)?

• A. $1.66$
• B. $2.0$
• C. $6.0$
• D. $1.5$

Answer 1

The correct option is A $1.66$

In thermodynamics, adiabatic index or ratio of specific heats is the ratio of the heat capacity at constant pressure $\left(C_P\right)$ to heat capacity at constant volume $\left(C_V\right)$.

$\gamma =\frac{C_P}{C_V}$

For monoatomic gas,

$\gamma =1.6666$

For diatomic gas,

$\gamma =1.4$

Hence, the correct answer is option $\text{A}$.