A gas is allowed to expand (a) adiabatically and (b)

Chapter 22, Problem 12Q

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QUESTION:

Problem 12Q

A gas is allowed to expand (a) adiabatically and (b) isothermally. In each process, does the entropy increase, decrease, or stay the same? Explain.

Questions & Answers

QUESTION:

Problem 12Q

A gas is allowed to expand (a) adiabatically and (b) isothermally. In each process, does the entropy increase, decrease, or stay the same? Explain.

ANSWER:

Solution 12Q

In an adiabatic expansion there is no heat exchange and in an isothermal expansion there is no change in temperature.

So for adiabatic process Q = 0

For isothermal process T = 0

Change in entropy = S = Q/T

Step 1 of 2

  1. As the process is adiabatic,  Q = 0

        So S = 0.

      Entropy stays the same.

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