Look at 3.183 and plot the P–v diagram for the process.

Chapter 3, Problem 88HP

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QUESTION:

Problem 88HP

Look at Problem 3.183 and plot the Pv diagram for the process. Only T2 is given; how do you determine the second property of the final state? What do you need to check, and does it influence the work term?

Problem 3.183

A piston/cylinder has 0.5 kg of air at 2000 kPa, 1000 K, as shown in Fig. P3.183. The cylinder has stops, so Vmin=0.03m3. The air now cools to 400K by heat transfer to the ambient. Find the final volume and pressure of the air (does it hit the stops?) and the work and heat transfer in the process.

FIGURE P3.183

Questions & Answers

QUESTION:

Problem 88HP

Look at Problem 3.183 and plot the Pv diagram for the process. Only T2 is given; how do you determine the second property of the final state? What do you need to check, and does it influence the work term?

Problem 3.183

A piston/cylinder has 0.5 kg of air at 2000 kPa, 1000 K, as shown in Fig. P3.183. The cylinder has stops, so Vmin=0.03m3. The air now cools to 400K by heat transfer to the ambient. Find the final volume and pressure of the air (does it hit the stops?) and the work and heat transfer in the process.

FIGURE P3.183

ANSWER:

Solution 88 HP

Step 1 of 4:

In this question, we need to plot  diagram for the process, we also need to find second property of the final state and we need to check if the second property has influence on the work term

Data given

Temperature

Minimum Volume

Mass

Gas constant for ideal gas

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