A system consisting of 10.0 g of water at a temperature of 20.0°C is converted into ice at –10.0°C at constant atmospheric pressure. Calculate the total change in entropy of the system. Assume the specific heat of water is 4.19 × 103 J/(kg · K), the specific heat of ice is 2.10 × 103 J/(kg · K), and the latent heat of fusion is 3.33 × 105 J/kg.
The total change in entropy of the system.
Answer to Problem 71PQ
The total change in entropy of the system is
Explanation of Solution
Write the expression to calculate the entropy change when
Here,
Write the expression to calculate the entropy change for the transformation of phase from ice to water.
Here,
Write the expression to calculate the change in entropy of the ice to decrease the temperature from
Here,
Write the expression to calculate the entropy change for the whole process.
Here,
Conclusion:
Substitute
Substitute
Substitute
Substitute
Therefore, the total change in entropy of the system is
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Chapter 22 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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