AIIMS 2019 Physics Specific Heat Ratio MCQ Question

To find the specific heat ratio (γ_mix) for the mixture of gases, we apply the formula $\frac{n_1 + n_2}{\gamma_{\text{mix}} - 1} = \frac{n_1}{\gamma_1 - 1} + \frac{n_2}{\gamma_2 - 1}$. Here, $n_1 = 0.25$ moles of CO₂ (with $\gamma_1 = 1.3$) and $n_2 = 0.50$ moles of N₂ (with $\gamma_2 = 1.4$). Substituting these values into the equation and solving yields $\gamma_{\text{mix}} = 1.6$.

Options A (1.4), B (1.5), and D (1.7) are incorrect as they do not satisfy the derived relationship based on the specific heat ratios of the individual gases and their mole fractions in the mixture.