Mass flow rate question
Hi the questions is:
Liquid propane enters an initially empty cylindrical storage
tank at a mass flow rate of 10 kg/s. Flow continues until the
tank is filled with propane at 20 degrees C, 9 bar. The tank is 25m
long and has a 4m diameter. Determine the time, in minutes,
to fill the tank.
My approach:
 reduce the mass balance to dm(cv)/dt = Sum of m dot (in)
 rearrange into differential equation and integrate to get
m(cv) at final time  m(cv) at time zero = (10kg/s)t then rearrange for t
 use m(cv) at t = V/specific volume i.e. (314.159 m^3)/(.05057 m^3/kg) where specific volume was found through interpolation by fixing the state with T and p.
implies t= 6212kg / (10kg/s) = 621.2s = 103 mins
So basically I'm trying to find out if this actually makes any sense. Thanks much
