Munson, Young and Okiishi's Fundamentals of Fluid Mechanics, Binder Ready Version 8th Edition

Published by Wiley
ISBN 10: 1119080703
ISBN 13: 978-1-11908-070-1

Chapter 1 - Problems - Page 37: 1.97

Answer

(a) For air, $c=343 \frac{\mathrm{m}}{\mathrm{s}}$ (b) For helium, $c=1010 \frac{\mathrm{m}}{\mathrm{s}}$ (c) For natural gas, $c=446 \frac{\mathrm{m}}{\mathrm{s}}$

Work Step by Step

$$ c=\sqrt{k R T} $$ $$ T=293 \mathrm{~K} $$ (a) For air, $c=\sqrt{(1.40)(286.9)(293)}=343 \frac{\mathrm{m}}{\mathrm{s}}$ (b) For helium, $c=\sqrt{(1.66)(2077)(293)}=1010 \frac{\mathrm{m}}{\mathrm{s}}$ (c) For natural gat $c=\sqrt{(1.31)(518.3)(293)} \left\lvert\,=446 \frac{\mathrm{m}}{\mathrm{s}}\right.$
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