Solved: A physics student immerses one end of a copper rod

Chapter 20, Problem 61P

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QUESTION:

Problem 61P

A physics student immerses one end of a copper rod in boiling water at 100°C and the other end in an ice-water mixture at 0°C. The sides of the rod are insulated. After steady-state conditions have been achieved in the rod, 0.120 kg of ice melts in a certain time interval. For this time interval, find (a) the entropy change of the boiling water; (b) the entropy change of the ice-water mixture; (c) the entropy change of the copper rod; (d) the total entropy change of the entire system.

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QUESTION:

Problem 61P

A physics student immerses one end of a copper rod in boiling water at 100°C and the other end in an ice-water mixture at 0°C. The sides of the rod are insulated. After steady-state conditions have been achieved in the rod, 0.120 kg of ice melts in a certain time interval. For this time interval, find (a) the entropy change of the boiling water; (b) the entropy change of the ice-water mixture; (c) the entropy change of the copper rod; (d) the total entropy change of the entire system.

ANSWER:

Solution 61P

Introduction:

Ice-water mixture was at .

Boiling water was at a temperature of .

a)

After achieving the steady state, 0.120 kg of ice converted into water without changing the temperature.

The heat required to convert 0.120 kg of ice into water is,

           

This much heat must be released from the hot water. So,

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