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.4(a)

Answer

$$p = 0.0422 \space atm$$

Work Step by Step

Perfect gas law: $pV = nRT$ Molar mass (Ne): $20.18 \space g/mol$ $1 \space g = 1000 \space mg$ $R = 8.20574 \times 10^{−2} \space dm^3 \space atm \space K^{−1} \space mol^{−1}$ $$n = \frac m {mm} = \frac{255 \space mg}{20.18 \space g/mol} \times \frac{1\space g}{1000 \space mg} = 0.0126363 \space mol$$ $$pV = nRT \longrightarrow p = \frac{nRT}{V}$$ $$p = \frac{( 0.0126363 \space mol)(8.20574) \times 10^{−2} \space dm^3 \space atm \space K^{−1} \space mol^{−1})(122 \space K)}{3.00 \space dm^3}$$ $$p = 0.0422 \space atm$$
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