Analyzing Internally Reversible Processes Air in a

Chapter 6, Problem 27P

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QUESTION:

Air in a piston–cylinder assembly and modeled as an ideal gas undergoes two internally reversible processes in series from state 1, where \(T_{1}=290 \mathrm{\ K}, \ p_{1}=1\) bar.

Process 1–2: Compression to \(p_{2}=5\) bar during which \(p V^{1.19}=\) constant.

Process 2–3: Isentropic expansion to \(p_{3}=1\) bar.

(a) Sketch the two processes in series on T–s coordinates.

(b) Determine the temperature at state 2, in K.

(c) Determine the net work, in kJ/kg.

Questions & Answers

QUESTION:

Air in a piston–cylinder assembly and modeled as an ideal gas undergoes two internally reversible processes in series from state 1, where \(T_{1}=290 \mathrm{\ K}, \ p_{1}=1\) bar.

Process 1–2: Compression to \(p_{2}=5\) bar during which \(p V^{1.19}=\) constant.

Process 2–3: Isentropic expansion to \(p_{3}=1\) bar.

(a) Sketch the two processes in series on T–s coordinates.

(b) Determine the temperature at state 2, in K.

(c) Determine the net work, in kJ/kg.

ANSWER:

Solution 27P

Step 1 of 10

The question consists of three parts. Consider the given air in a piston-cylinder assembly. First we have to sketch the two given reversible processes - Process 1-2 and process 2-3 on the T-s coordinates. Then the Temperature at state 2 and the net work done should be determined.

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