Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 19 - The Kinetic Theory of Gases - Problems - Page 580: 48b

Answer

$C_p=34.4\frac{J}{mol.K}$

Work Step by Step

We know that; $C_p=\frac{Q}{n\Delta T}$.......eq(1) But as $\Delta T=\frac{p\Delta V}{nR}$ Thus, eq(1) becomes $C_p=\frac{Q}{n\frac{p\Delta V}{nR}}$ $C_p=\frac{RQ}{p \Delta V}$ We plug in the known values to obtain: $C_p=\frac{8.31(20.9)}{1.01\times 10^5\times50\times 10^{-6}}=34.4\frac{J}{mol.K}$
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