A tank volume V contains gas at conditions (0, p0, T0). At time t = 0 it

Question:

A tank volume V contains gas at conditions (ρ0, p0, T0). At time t = 0 it is punctured by a small hole of area A. According to the theory of Chap. 9, the mass flow out of such a hole is approximately proportional to A and to the tank pressure. If the tank temperature is assumed constant and the gas is ideal, find an expression for the variation of density within the tank.