Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 14 - The Ideal Gas Law and Kinetic Theory - Problems - Page 386: 50

Answer

(a) $5\times10^{-13}kg/s$ (b)$5.83\times10^{-3}kg/m^{3}$

Work Step by Step

(a) Since the mass is conserved, the mass flow rate is the same at all points, therefore, the mass flow rate of $CCl_{4}$ is $5\times10^{-13}kg/s$ (b) Let's apply Fick's law to find the $\Delta C$ $$m=\frac{DA\Delta Ct}{L}=>\Delta C=\frac{(m/t)L}{DA}$$ $\Delta C= C_{enetring}-C_{A}=>C_{A}=C_{enetring}-\Delta C$ Let's plug known values into this equation. $C_{A}=0.01\space kg/m^{3}-\frac{(5\times10^{-13}kg/s)(5\times10^{-3}m)}{(20\times10^{-10}m^{2})(3\times10^{-4}m^{2})}=5.83\times10^{-3}kg/m^{3}$
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