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 - Exercises - Page 54: 1A.1(b)

Answer

No, it would exert a pressure of 11 bar

Work Step by Step

Molar mass $(Ar)$ : $40 \space g/mol$ Perfect gas law: $pV = nRT$ R in $dm^3 \space bar \space K^{-1} \space mol^{-1} = 8.31447 \times 10^{-2}$ $$pV = nRT \longrightarrow p = \frac{nRT}{V}$$ $$n =\frac{m}{mm} = \frac{25 \space g}{40 \space g/mol} = 0.625 \space mol$$ $$T(K) = T(^oC) + 273.15 = 30 + 273.15 = 303.15 $$ $$p = \frac{(0.625 \space mol)( 8.31447 \times 10^{-2} \space dm^3 \space bar \space K^{-1} \space mol^{-1} )(303.15 \space K)}{1.5 \space dm^3}$$ $$p = 11 \space bar$$
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