1. Tardigrade
  2. Question
  3. Physics
  4. One mole of ideal monoatomic gas (γ = 5/3) is mixed with one mole of diatomic gas (γ = 7/5). What is γ for the mixture? γ Denotes the ratio of specific heat at constant pressure, to that at constant volume.

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. One mole of ideal monoatomic gas $(\gamma = 5/3)$ is mixed with one mole of diatomic gas $(\gamma = 7/5)$. What is $\gamma$ for the mixture? $\gamma$ Denotes the ratio of specific heat at constant pressure, to that at constant volume.

AIEEEAIEEE 2004Kinetic Theory

Solution:

$Q = Q_{1} + Q_{2}$
$\frac{n_{1}+n_{2}}{\gamma_{m}-1} = \frac{n_{1}}{\gamma_{1}-1}+\frac{n_{2}}{\gamma _{2}-1}$
$\gamma_{m} = \frac{3}{2}$