Answer: (a) Calculate the change in entropy when 1.00 kg

Chapter 20, Problem 29E

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QUESTION:

Problem 29E

(a) Calculate the change in entropy when 1.00 kg of water at \(100^{\circ} \mathrm{C}\) is vaporized and converted to steam at \(100^{\circ} \mathrm{C}\) (see Table 17.4). (b) Compare your answer to the change in entropy when 1.00 kg of ice is melted at \(0^{\circ} \mathrm{C}\), calculated in Example 20.5 (Section 20.7). Is the change in entropy greater for melting or for vaporization? Interpret your answer using the idea that entropy is a measure of the randomness of a system.

Equation Transcription:

Text Transcription:

100degC

100degC

0degC

Questions & Answers

QUESTION:

Problem 29E

(a) Calculate the change in entropy when 1.00 kg of water at \(100^{\circ} \mathrm{C}\) is vaporized and converted to steam at \(100^{\circ} \mathrm{C}\) (see Table 17.4). (b) Compare your answer to the change in entropy when 1.00 kg of ice is melted at \(0^{\circ} \mathrm{C}\), calculated in Example 20.5 (Section 20.7). Is the change in entropy greater for melting or for vaporization? Interpret your answer using the idea that entropy is a measure of the randomness of a system.

Equation Transcription:

Text Transcription:

100degC

100degC

0degC

ANSWER:

Solution to 29E

Step 1

When the water reaches the boiling point at T=373.15K, it changes into steam and the temperature will keep constant until water is completely transformed into steam. Thus, conversion of water into steam is a isothermal process.

Mass of water =1kg

Latent heat of vaporization of water =2.256x106K/kg

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