A 5 ft^3 tank containing steam at 14.7 psia, 1% quality, is fitted with a relief valve. Heat is transferred to the tank from a large heat source at 500 F. When the pressure in the tank reaches 300 psia, the relief valve opens, and saturated vapor at 300 psia is throttled across the valve and discharged at 14.7 psia pressure. This process continues until the quality in the tank reaches 90%. After drawing a neat and clear schematic of the geometry with appropriate conditions,
a. Calculate the mass discharged from the tank.
b. Determine the heat transfer to the tank during the process.