Physics Help Forum Mass flow rate question

 Thermodynamics and Fluid Mechanics Thermodynamics and Fluid Mechanics Physics Help Forum

 Oct 17th 2011, 07:44 PM #1 Junior Member   Join Date: Oct 2011 Posts: 1 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 25-m long and has a 4-m 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

 Tags flow, mass, question, rate