Air expands adiabatically in a piston–cylinder assembly from an initial state where p1 = 100 lbf/in.2, v1 = 3.704 ft3/lb, and T1 = 1000 °R, to a final state where p2 = 20 lbf/in.2 The process is polytropic with n = 1.4. The change in specific internal energy, in Btu/lb, can be expressed in terms of temperature change as Δu=(0.171)(T2 - T1). Determine the final temperature, in °R. Kinetic and potential energy effects can be neglected.

Elements Of Electromagnetics
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Air expands adiabatically in a piston–cylinder assembly from an initial state where p1 = 100 lbf/in.2v1 = 3.704 ft3/lb, and T1 = 1000 °R, to a final state where p2 = 20 lbf/in.2 The process is polytropic with n = 1.4. The change in specific internal energy, in Btu/lb, can be expressed in terms of temperature change as Δu=(0.171)(T2 - T1).

Determine the final temperature, in °R.
Kinetic and potential energy effects can be neglected.

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