JEE MAINS 14..solved example on KTG.16 March

Q.Let there be a container of fixed volume 4 V.It contains ideal gas at pressure P. A pump is used to remove the gas from this container. In each stroke , the pump takes volume V from the container. We have to find the pressure in the gas after 2 stokes assuming the gas temperature to be constant.

Ans: 16 P / 25

Solution:

Q. Let there be a vessel of volume V cubic meter ,containing an ideal gas at pressure P0. There is a small hole in the vessel from where the gas is leaking at rate. kV cubic meter per unit time. The temperature is maintained to be constant T and molar mass of the gas is M. Find the pressure after time t.
Solution: