   Chapter 11, Problem 10CQ

Chapter
Section
Textbook Problem

In a calorimetry experiment, three samples A, B, and C with TA > TB > TC are placed in thermal contact. When the samples have reached thermal equilibrium at a common temperature T, which one of the following must be true? (a) QA > QB > QC (b) QA < 0, QB < 0, and QC > 0 (c) T > TB (d) T < TB (e) TA > T > TC.

To determine
The final temperature of the samples.

Explanation

Given Info: Temperature of samples A, B, and C is TA>TB>TC .

According to the principle of conservation of energy, for an isolated system heat transferred by the hot sample is equal to the heat absorbed by the cold sample in the system.

Conclusion:

Since, the no more heat is given or removed externally from the sample, the final temperature of the sample cannot be greater than the largest temperature of the sample and cannot be smaller than the smallest temperature of the sample. Therefore, the equilibrium temperature of the sample must be between temperatures of sample A and sample C. Thus, option (e) is correct.

Since, the other factors like the dimension of the samples, their thermal conductivities are unknown, the magnitude of heat transfer can be determined

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