A diatomic ideal gas is compressed adiabatically to of its initial volume. In the initial temperature of gas is Ti (in Kelvin) and the final temperature is Ti, the value of α is

Engineering

Physics

Thermodynamics

Question

A diatomic ideal gas is compressed adiabatically to $\frac{1}{32}$ of its initial volume. In the initial temperature of gas is T_i (in Kelvin) and the final temperature is $α$ T_i, the value of α is

LiveFree JEE Main Previous Year Online Papers Live Free JEE Advance Previous Year Online Papers

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

$T_{0} V_{0}^{7 / 5} = T {(\frac{V_{0}}{32})}^{7 / 5} = T {(\frac{V_{0}}{32})}^{2 / 5}$

$I = T_{0} \times (32^{2 / 5}) = 4 T_{0}$