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

Question

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 (A) (3/2) (B) (4/3) (C) (5/3) (D) (7/5)

Tardigrade Admin · Accepted Answer

Below 150 K, hydrogen behaves as monoatomic gas ∴ For the mixture, &gamma;=(1/2)[&gamma; text mono +&gamma; di ]=(1/2)((5/3)+(7/5))=(3/2)

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

$\frac{3}{2}$

$\frac{4}{3}$

$\frac{5}{3}$

$\frac{7}{5}$

Below 150 K, hydrogen behaves as monoatomic gas
$∴$ For the mixture, $γ = \frac{1}{2} [γ_{mono} + γ_{d i}] = \frac{1}{2} (\frac{5}{3} + \frac{7}{5}) = \frac{3}{2}$

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

23​

34​

35​

57​