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In four experiments, blocks Aand B, starting at different initialtemperatures, were brought together in an insulating box and allowedto reach a common final temperature. The entropy changesfor the blocks in the four experiments had the following values (injoules per Kelvin), but not necessarily in the order given.Determine which values for Ago with which values for B.

Short Answer

Expert verified

The values of A that go with values of B are(8,-8),(5,-5),(3,-3),(9,-2)

Step by step solution

01

The given data

In the given four experiments, blocks A and B brought together in an insulating box to reach a final temperature have four entropy values in each experiment.

02

Understanding the concept of entropy 

This problem is based on the concept of the second law of thermodynamics which is an extended postulate to the concept of entropy. The law states that if a process occurs in a closed system, the entropy of the system increases for irreversible processes and remains constant for reversible processes. It never decreases.

Formula:

The entropy change of the system,S0

03

Calculation of the entropy values that of A and B that go along

As per the given concept and equation (i), the entropy change of the system of two blocks A and B with entropy changes S1and S1can be given as:

S0S1+S20S1-S2

Thus, there must exist either a negative equal entropy value of entropy change of block B or a lower negative value of entropy change of block B for every entropy value of block A.

Thus, the values of A and B that match the condition are(8,-8),(5,-5),(3,-3),(9,-2).

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