Power Cycle ApplicationsThe data listed below are claimed

Chapter 5, Problem 17P

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QUESTION:

The data listed below are claimed for a power cycle operating between hot and cold reservoirs at 1000 K and 300 K, respectively. For each case, determine whether the cycle operates reversibly, operates irreversibly, or is impossible.

(a) \(Q_{\mathrm{H}}=600 \mathrm{\ kJ}, W_{\text {cycle }}=300 \mathrm{\ kJ}, Q_{\mathrm{C}}=300 \mathrm{\ kJ}\)

(b) \(Q_{\mathrm{H}}=400 \mathrm{\ kJ}, W_{\text {cycle }}=280 \mathrm{\ kJ}, Q_{\mathrm{C}}=120 \mathrm{\ kJ}\)

(c) \(Q_{\mathrm{H}}=700 \mathrm{\ kJ}, W_{\text {cycle }}=300 \mathrm{\ kJ}, Q_{\mathrm{C}}=500 \mathrm{\ kJ}\)

(d) \(Q_{\mathrm{H}}=800 \mathrm{\ kJ}, W_{\text {cycle }}=600 \mathrm{\ kJ}, Q_{\mathrm{C}}=200 \mathrm{\ kJ}\)

Questions & Answers

QUESTION:

The data listed below are claimed for a power cycle operating between hot and cold reservoirs at 1000 K and 300 K, respectively. For each case, determine whether the cycle operates reversibly, operates irreversibly, or is impossible.

(a) \(Q_{\mathrm{H}}=600 \mathrm{\ kJ}, W_{\text {cycle }}=300 \mathrm{\ kJ}, Q_{\mathrm{C}}=300 \mathrm{\ kJ}\)

(b) \(Q_{\mathrm{H}}=400 \mathrm{\ kJ}, W_{\text {cycle }}=280 \mathrm{\ kJ}, Q_{\mathrm{C}}=120 \mathrm{\ kJ}\)

(c) \(Q_{\mathrm{H}}=700 \mathrm{\ kJ}, W_{\text {cycle }}=300 \mathrm{\ kJ}, Q_{\mathrm{C}}=500 \mathrm{\ kJ}\)

(d) \(Q_{\mathrm{H}}=800 \mathrm{\ kJ}, W_{\text {cycle }}=600 \mathrm{\ kJ}, Q_{\mathrm{C}}=200 \mathrm{\ kJ}\)

ANSWER:

Solution 17P

Step 1 of 8

Here our aim is to determine whether the given power cycle in each part is reversible, irreversible or  impossible by considering the given parameters.

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