Applying the Entropy Balance: Closed SystemsAs shown in

Chapter 6, Problem 51P

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QUESTION:

As shown in Fig. P6.51, a divider separates 1 lb mass of carbon monoxide (CO) from a thermal reservoir at \(150^{\circ} \mathrm{F}\). The carbon monoxide, initially at \(60^{\circ} \mathrm{F}\) and \(150 \mathrm{\ lbf} / \mathrm{in} .^{2}\), expands isothermally to a final pressure of \(10 \mathrm{\ lbf} / \mathrm{in}^{2}\) while receiving heat transfer through the divider from the reservoir. The carbon monoxide can be modeled as an ideal gas.

(a) For the carbon monoxide as the system, evaluate the work and heat transfer, each in Btu, and the amount of entropy produced, in \(\mathrm{Btu} /{ }^{\circ} \mathrm{R}\).

                                 

(b) Evaluate the entropy production, in \(\mathrm{Btu} /{ }^{\circ} \mathrm{R}\), for an enlarged system that includes the carbon monoxide and the divider, assuming the state of the divider remains unchanged. Compare with the entropy production of part (a) and comment on the difference.

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QUESTION:

As shown in Fig. P6.51, a divider separates 1 lb mass of carbon monoxide (CO) from a thermal reservoir at \(150^{\circ} \mathrm{F}\). The carbon monoxide, initially at \(60^{\circ} \mathrm{F}\) and \(150 \mathrm{\ lbf} / \mathrm{in} .^{2}\), expands isothermally to a final pressure of \(10 \mathrm{\ lbf} / \mathrm{in}^{2}\) while receiving heat transfer through the divider from the reservoir. The carbon monoxide can be modeled as an ideal gas.

(a) For the carbon monoxide as the system, evaluate the work and heat transfer, each in Btu, and the amount of entropy produced, in \(\mathrm{Btu} /{ }^{\circ} \mathrm{R}\).

                                 

(b) Evaluate the entropy production, in \(\mathrm{Btu} /{ }^{\circ} \mathrm{R}\), for an enlarged system that includes the carbon monoxide and the divider, assuming the state of the divider remains unchanged. Compare with the entropy production of part (a) and comment on the difference.

ANSWER:

Solution

Step 1 of 4

In this problem, we have to find the amount of entropy produced and evaluate the entropy production and then compare with the entropy production of part A. The given data are as follows.

 

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