Question

A diatomic gas at temperature T is kept in a container of volume V. The total kinetic energy of gas is given as E = k₁T where k₁ is a constant. The pressure of gas is given by :

• A. $\frac{3k_{1}T}{2V}$
• B. $\frac{5k_{1}T}{2V}$
• C. $\frac{2k_{1}T}{5V}$
• D. None of these

Answer 1

Answer: (C)

$\frac{2k_{1}T}{5V}$

Answer 2

If there are 'n' moles of diatomic gas

Then, E = K₁T =$\frac{5}{2}$nRT, So, nR =$\frac{2}{5}$K₁

PV = nRT

PV =$\frac{2}{5}$K₁T ̃ P =$\frac{2K_{1}T}{5V}$