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.3(b)

Answer

$$p_2 = 120 \space kPa$$

Work Step by Step

1. Convert the temperature values to Kelvin scale: $$T(K) = T(C^o) + 273.15$$ $$T_1(K) = (23) + 273.15 = 296.15$$ $$T_2(K) = (11) + 273.15 = 284.15$$ 2. Use the Combined gas law to calculate the final pressure: $$\frac{p_1V_1}{n_1T_1} = \frac{p_2V_2}{n_2T_2}$$ Assuming that $n$ and $V$ are constant: $$\frac{p_1}{T_1} = \frac{p_2}{T_2}$$ Solving for the final pressure $p_2$: $$\frac{p_1}{T_1} \times T_2 = p_2$$ $$p_2 = \frac{125 \space kPa}{296.15 \space K} \times 284.15 \space K = 120 \space kPa$$
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