Air is compressed in a piston-cylinder assembly from p₁ = 25 lb/in², T₁ = 500°R, V₁ = 9 ft³ to a final volume of V₂ = 1 ft³ in a process described by pv1.30 = constant. Assume ideal gas behavior and neglect kinetic and potential energy effects. Using constant specific heats evaluated at T₁, determine the work and the heat transfer, in Btu.
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