A system consisting of 1 kg of H2O undergoes a power cycle

Chapter 3, Problem 3.78

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QUESTION:

A system consisting of 1 kg of \(\mathrm{H}_{2} \mathrm{O}\) undergoes a power cycle composed of the following processes:

Process 1–2: Constant-volume heating from \(p_{1}=5 \text { bar, } T_{1}=160^{\circ} \mathrm{C} \text { to } p_{2}=10 \mathrm{bar}\).

Process 2–3: Constant-pressure cooling to saturated vapor.

Process 3–4: Constant-volume cooling to \(T_{4}=160^{\circ} \mathrm{C}\).

Process 4–1: Isothermal expansion with \(Q_{41}=815.8 \mathrm{~kJ}\).

Sketch the cycle on T–v and p–v diagrams. Neglecting kinetic and potential energy effects, determine the thermal efficiency.

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QUESTION:

A system consisting of 1 kg of \(\mathrm{H}_{2} \mathrm{O}\) undergoes a power cycle composed of the following processes:

Process 1–2: Constant-volume heating from \(p_{1}=5 \text { bar, } T_{1}=160^{\circ} \mathrm{C} \text { to } p_{2}=10 \mathrm{bar}\).

Process 2–3: Constant-pressure cooling to saturated vapor.

Process 3–4: Constant-volume cooling to \(T_{4}=160^{\circ} \mathrm{C}\).

Process 4–1: Isothermal expansion with \(Q_{41}=815.8 \mathrm{~kJ}\).

Sketch the cycle on T–v and p–v diagrams. Neglecting kinetic and potential energy effects, determine the thermal efficiency.

ANSWER:

Problem 3.78

A system consisting of 1 kg of H2O undergoes a power cycle composed of the following processes: Process 1-2: Constant-volume heating from  p = 5 bar, T1 = 160 to  = 10 bar. Process 2-3: Constant-pressure cooling to saturated vapor. Process 3-4: Constant-volume cooling to T4 = 160. Process 4-1: Isothermal expansion with  = 815.8 kJ. Sketch the cycle on T and p diagrams. Neglecting kinetic and potential energy effects, determine the thermal efficiency.

                                                              Step by Step Solution

Step 1 of 2

Using the given descriptions and data we can sketch the cycle. For process 1-2 we have a constant volume heating from  and  to . Process 2-3 is a constant pressure cooling to saturated vapour phase. Process 3-4 is a constant volume cooling to  and finally, process 4-1 is isothermal expansion back to the initial position.

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