[QUE/TH-13005] TH-PROBLEM

A box of volume $2V$ is divided into equal halves by a thin partition. The left side contains perfect gas at pressure $p_L$ and the right side is vacuum. A small hole of area $A$ is punched in the partition at time $t\,=\,0$. What is the pressure in the left had side $p_L(t)$ after a time t ?. Assume the temperature to be constant on both the sides as $T$. Assume Maxwell- Boltzmann statistics.