Essential University Physics: Volume 1 (4th Edition) Clone

Published by Pearson
ISBN 10: 0-134-98855-8
ISBN 13: 978-0-13498-855-9

Chapter 18 - Exercises and Problems - Page 343: 56


Please see the work below.

Work Step by Step

We know that in adiabatic process $PV^{\gamma}=constant$......eq(1) For ideal gas $PV=nRT$ This can be rearranged as: $V=\frac{nRT}{P}$......eq(2) We plug in the value of V from equation(2) into equation(1) $P(\frac{nRT}{P})^{\gamma}=constant$ This can be rearranged as: $P^{1-\gamma}T^{\gamma}=\frac{constant}{(nR)^{\gamma}}=constant$ (because nR is constant)
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.