Question

(25 pts) We have a tank of volume V which contains an ideal gas at constant temperature T and initial pressure Po. There is a small hole in the tank and gas leaks out at a velocity of (RT)5, We can use a molar density 1. Recall that mols in tanke ρν and molar rate out-pud where u-velocity and A - area of hole. Derive the differential equation for P vs t (hint it's a simple exponential) a. drop in half.

Answer 1

pnos flowing out at an time molas aste mout in in d n R T R Cnos stand 3- Mlat densi SCRT) Ar Idt d t

As we knous 4nat d t 'A d 4 (RT) A (RT)。 t A (AT) 0.5

Time R24 서 t C