An ideal gas at pressure ' P ' and temperature ' T ' is enclosed in a vessel of volume 'V'. Some gas leaks through a hole from the vessel and the pressure of the enclosed gas falls to P ^ . Assuming that the temperature of the gas remains constant during the leakage, the number of moles of the gas that have leaked is

Step-by-step solution

Since the vessel's volume V and temperature T remain constant while gas leaks, the number of moles changes from n₁ to n₂ , leading to pressure reduction from P to P' . Applying the ideal gas law PV = nRT to both states gives n₁ = PV RT and n₂ = P'V RT . The moles leaked are n = n₁ - n₂ = V RT (P - P') , corresponding to option B .