A rigid, well-insulated tank of volume 2 m3 is initially evacuated. At time t = 0, air from the surroundings at 1 bar, 27oC begins to flow into the tank. An electric resistor transfers energy to the air in the tank at a constant rate for 10 minutes, after which time the pressure in the tank is 1 bar and the temperature is 527oC. Modeling air as an ideal gas, determine the power input to the tank, in kW.
A rigid, well-insulated tank of volume 2 m3 is initially evacuated. At time t = 0, air from the surroundings at 1 bar, 27oC begins to flow into the tank. An electric resistor transfers energy to the air in the tank at a constant rate for 10 minutes, after which time the pressure in the tank is 1 bar and the temperature is 527oC. Modeling air as an ideal gas, determine the power input to the tank, in kW.
(a) Write the mass balance equation through this process, in kg
(b) Write your energy balance equation to determine the power input to the tank: You should write full energy balance equation, and then remove the terms
(c) Determine the final mass (m2) in the tank, in kg
(d) Determine the power input to the tank, in kW
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