Consider a rigid, pressurized stainless-steel (SS-304) propane tank that weighs 18 lbs (empty) and is initially at thermal equilibrium (1atm, 22C) with its surroundings. The inner dimensions of the propane tank are roughly a cylinder (height: 13.25 in, diameter: 10.25in). The tank is 99% filled with propane and x=0.05. The welded handle and stand on the tank weigh 1 lbs (combined) and valve on the tank weighs 1.5 lbs and has an exit area of 1 cm^2 . NOTE: for this problem you will need to look up the thermodynamic properties of propane and SS-304.
a.) What is the wall thickness of the propane tank in mm?
b.) what is the inner volume of the propane tank in mL and gallons?
c.) What is the pressure inside the tank in psi and KPa?
d.) What is the mass of liquid propane in the tank in kg and lbs?
e.) What is the volume of gaseous propane in the tank in mL?
f.) At t_0 =0 seconds, the valve on the tank is instantly opened until equilibrium is reached @t=t_equilibrium; What is the mass of air (in kg) in the tank @ equilibrium?
g.) In equation form, what is the net amount of heat transferred between the tank and its surroundings between t=t0and t=t1? NOTE: make sure you identify all your assumptions.
h) In equation form, what is the entropy generated between t=t0 and t=t1?
i.) What is the entropy generated between t=t_1 and t=tEq?
j) Plot the temperature of the tank from t= t0 to t=tEq. (assume that SS-304 has the same temperature its contents). NOTE: no detailed calculations are needed, but make sure you label the axes, including the notable initial, final, maximum, and minimum temperatures of the system.
k) Plot the rate of heat transfer from t=t0 to t=tEq. NOTE: no detailed calculations are needed, but make sure you label the axes including the notable initial, final, maximum, and minimum rates of heat transfer.
l) Plot the rate of entropy generated due to Heat transfer (SQ), mass transfer (Sm), and changes in the system from t=t0 to t=tEq. NOTE: the system should consist of both SS tank and its contents. (no detailed calculations are needed, but use the same plotting recommendations as that requested in parts n and m).