The total entropy change of the horseshoe plus-water system.
Answer to Problem 44P
The total entropy change of the horseshoe plus-water system is
Explanation of Solution
In this problem, horseshoe at
Since there is no energy lost by heat to the surroundings, heat lost by horseshoe is equal to heat gain by water.
Write the expression for the conservation of energy.
Here,
The negative sign indicates that energy is lost by heat for hot horseshoe.
Write the expression for
Here,
Write the expression for
Here,
Use equations (II) and (III) in equation (I) to get
Write the expression for the change entropy of water.
Here,
Write the expression for the change entropy of horseshoe.
Here,
Write the expression for the total entropy change of the system.
Here,
Put equations (V) and (VI) in equation (VII) to get
Integrate above equation to get
Write the expression to convert temperature in degree Celsius into Kelvin scale.
Here,
Conclusion:
Mass of iron is
Substitute
Substitute
Substitute
Substitute
Substitute
Therefore, the total entropy change of the horseshoe plus-water system is
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Physics for Scientists and Engineers With Modern Physics
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