Physical Chemistry: Thermodynamics, Structure, and Change

Published by W. H. Freeman
ISBN 10: 1429290196
ISBN 13: 978-1-42929-019-7

Chapter 1 - Topic 1A - The perfect gas - Problems - Page 55: 1A.2

Answer

$\mathrm{P}=\frac{R T}{M} \rho$

Work Step by Step

$\begin{array}{|l|l|} \hline {\text { PV = nRT }\quad\quad(1)} & {\text {Ideal Gas Equation.} }\\ \hline {\text {$\mathrm{n}=\frac{m}{M}$} \quad\quad\quad\quad(2)} & {\text {Where : m is mass, M is Molar mass} }\\ \hline {\text {$\mathrm{PV}=\frac{m}{M} \mathrm{RT}$} } & {\text {from (1), and (2)} }\\ \hline {\text {$\rho=\frac{m}{V}$} } & {\text {The relation between mass, and density.} }\\ \hline {\text {$\mathrm{P}=\frac{R T}{M} \rho$} } & {\text {From (3), and (4)} }\\ \hline \end{array}$
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