Chemistry: The Molecular Science (5th Edition)

Published by Cengage Learning
ISBN 10: 1285199049
ISBN 13: 978-1-28519-904-7

Chapter 8 - Properties of Gases - Questions for Review and Thought - Topical Questions - Page 370c: 71b


65 atm

Work Step by Step

$V=2.00\,L$ $n= 7.0\,mol$ $T=(50+273)K=323\,K$ $R=0.0821\,L\,atm\,mol^{-1}K^{-1}$ For $CO_{2}$, $a=3.59\,L^{2}\,atm/mol^{2}$ and $b=0.0427\,L/mol$ $(P+\frac{n^{2}a}{V^{2}})(V-nb)=nRT$ (van der Waals equation) $\implies P=(\frac{nRT}{V-nb})-(\frac{n^{2}a}{V^{2}})$ $=[\frac{(7.0\,mol)(0.0821\,L\,atm\,mol^{-1}K^{-1})(323\,K)}{2.00\,L-(7.0\,mol\times0.0427\,L/mol)}]-[\frac{(7.0\,mol)^{2}(3.59\,L^{2}\,atm/mol^{2})}{(2.00\,L)^{2}}]$ $=65\,atm$
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