+1 vote
in Mathematics by kratos

Air in a rigid 40 ft3 box is at 540 R, 30 lbf/in.2. It is heated to 1100 R by heat transfer from a reversible heat pump that receives energy from the ambient at 540 R besides the work input. Use constant specific heat at 540 R. Since the coefficient of performance changes write dQ = mair Cv dT and find dW. Integrate dW with temperature to find the required heat pump work.

1 Answer

+6 votes
by kratos
 
Best answer

COP: β′ = QH/W = QH/QH − QL ≅ TH/TH − TL

mair = P1V1 / RT1 = (30 x 40 x 144) / (540 x 53.34) = 6.0 lbm

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