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 577: 9

Answer

$186KPa$

Work Step by Step

We know that $P_2=\frac{P_1V_1T_2}{V_2T_1}$...eq(1) Converting both $T_1$ and $T_2$ to kelvin: $T_1=C^{\circ}+273=0+273=273K$ $T_2=C^{\circ}+273=27+273=300K$ Now we find $P_1$: $P_1=165KPa+1.01\times10^2KPa=266KPa$ Substituting values into eq (1), we get, $P_2=\frac{(266KPa)(1.64\times10^{-2})(300)}{(1.67\times10^{-2})(273)}=287KPa$ Thus the required gauge reading=$287KPa-1.01\times10^2KPa=186KPa$
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