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Q. A gaseous mixture contains an equal number of hydrogen and nitrogen molecules. Specific heat measurements on this mixture at a temperature below $150 \, K$ would indicate the value of the ratio of specific heats for the mixture as

NTA AbhyasNTA Abhyas 2020

Solution:

Below 150 K, hydrogen behaves as monoatomic gas
$\therefore $ For the mixture, $\gamma=\frac{1}{2}\left[\gamma_{\text {mono }}+\gamma_{ di }\right]=\frac{1}{2}\left(\frac{5}{3}+\frac{7}{5}\right)=\frac{3}{2}$