Answer: Using Isentropic Processes/EfficienciesAir in a

Chapter 6, Problem 129P

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QUESTION:

Air in a piston–cylinder assembly is compressed isentropically from an initial state where \(T_{1}=340 \mathrm{\ K}\) to a final state where the pressure is 90% greater than at state 1. Assuming the ideal gas model, determine (a) \(T_{2}\), in K, and (b) the work, in kJ/kg.

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QUESTION:

Air in a piston–cylinder assembly is compressed isentropically from an initial state where \(T_{1}=340 \mathrm{\ K}\) to a final state where the pressure is 90% greater than at state 1. Assuming the ideal gas model, determine (a) \(T_{2}\), in K, and (b) the work, in kJ/kg.

ANSWER:

Part (a)

Step 1az:

A piston-cylinder arrangement has an ideal gas. The initial temperature is given. The pressure in the final state is 90 % greater than the state 1. We are going to find the final temperature.

The initial temperature T1 = 340 K

The final pressure P2 = 1.9P1

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