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 - Page 331: 46


(a) 1 (b) 0.5 (c) 1.3

Work Step by Step

(a)We know that $\frac{V_1}{V_2}=2$ For diatomic gas $\gamma=1$ (b) As $\frac{E_{int_2}}{E_{int1}}=\frac{V_2}{V_1}=0.5$ (c) We know that $T_1V_1^{\gamma-1}=T_2V_2^{\gamma-1}$ This can be rearranged as: $\frac{T_2}{T_1}=(\frac{V_1}{V_2})^{\gamma-1}$ $\implies \frac{E_{int2}}{E_{int1}}=\frac{T_2}{T_1}=2^{1.4-1}=1.3$
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