Refrigerant 134A is held in a large storage tank at 100 lbfi
Solution
The technician has a tank containing a mass of m1 = 5 lb = 2.268 kg
By referring the refrigirant tables, we find out that the specific enthalpy of the gas stored at 70F
h1 = 258.9 kJ/kg
Hence the total enthalpy of the gas present in the container H1 = m1xh1 = 2.268 x 258.9 = 587.1852 kJ
The problem states that the final mass of the gas inside the container is 30 lb.
Hence mass of the gas added m2 = 25lb = 11.34 kg
Specific enthalpy of gas being added h2 = 252.9 kJ/kg
Total enthalpy added to the container H2 = m2xh2 = 11.34x252.9 = 2867.866 kJ/kg
Therefore, the total enthalpy of the tank just after the addition of the mass Hinitial = H1 + H2 = 587.1852 + 2867.866 = 3455.0712 kJ
But after the mass settles down into a stable state, the final condition states that the mass of 30 lb is maintained at 70 F.
The total enthalpy for gas in that state Hfinal = mfinalxhat t=70F = 13.6x258.9 = 3521.04 kJ/kg
Thus, the difference in enthalpy is = 3521.04 kJ/kg - 3455.0712 kJ/kg = 65.97 kJ/kg
Converting it into imperial units, it gives us the answer 62.52 btu. Hence, 62.52 btu of heat energy is added to the cylinder from the surroundings.
