Chapter 17 - Exercises and Problems - Page 315: 77

(a) $T=244K$ (b)$T=247K$

Work Step by Step

(a) We know that PV=nRT This can be rearranged as: $T=\frac{PV}{nR}$ We plug in the known values to obtain: $T=\frac{101325\times 2\times 10^{-3}}{1\times 8.314}=244K$ (b) According to Vander waals equation $(P+\frac{n^2a}{V^2})(V-nb)=nRT$ This can be rearranged as: $T=\frac{(P+\frac{n^2a}{V^2})(V-nb)}{nR}$ We plug in the known values to obtain: $T=\frac{1013250+\frac{(1)^2\times 0.14}{(2\times 10^{-3})^2}(2\times 10^{-3}-1\times 3.9\times 10^{-5})}{1\times 8.314}$ $T=247K$

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