2.30. A piston reversibly and adiabatically contracts 3.88moles of ideal gas to one-tenth of its original volume,then expands back to the original conditions. It does this atotal of five times. If the initial and final temperatures bothare 27.5°C, calculate (a) the total work and (b) the total AU forthe overall process.

Answered: 2.30. A piston reversibly and…

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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2.30. A piston reversibly and adiabatically contracts 3.88
moles of ideal gas to one-tenth of its original volume,
then expands back to the original conditions. It does this a
total of five times. If the initial and final temperatures both
are 27.5°C, calculate (a) the total work and (b) the total AU for
the overall process.

Expert Solution

Step 1

Given Data:

A reversible process requires the same effort to achieve a specific state as it does to reverse the process to return to the initial state. The work will be 0 as long as it is kept in its initial state.

Consequently, $w_{t o t a l} = 0$ .

Internal energy is a state function that depends on volume, molecular number, pressure, temperature, and other variables.

U = f (p, T, V, n)

The change in internal energy will always be zero if the system's ultimate state is the same as its initial state in terms of these variables, regardless of what has been done to it.

Thus, $Δ U = 0$ .

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