Essential University Physics: Volume 1 (3rd Edition)

Published by Pearson
ISBN 10: 0321993721
ISBN 13: 978-0-32199-372-4

Chapter 18 - Exercises and Problems: 31

Answer

Please see the work below.

Work Step by Step

(a) We know that $W=-nC_v\Delta T$ $W=-n(\frac{3}{2}R)\Delta T$ We plug in the known values to obtain: $-2500=-(1)\frac{3}{2}(8.314)\Delta T$ This simplifies to: $\Delta T=200K$ (b) We know that $W=-nC_v\Delta T$ $W=-n(\frac{5}{2}R)\Delta T$ We plug in the known values to obtain: $-2500=-(1)\frac{5}{2}(8.314)\Delta T$ This simplifies to: $\Delta T=120K$
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