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.2(b)

Answer

(i) $1.07 \space bar$ (ii) $803 \space torr.$

Work Step by Step

Boyle's law: $p_iV_i = p_fV_f$ $$V_i - 1.80 \space dm^3 = V_f = 2.14 \space dm^3$$ $$V_i = 2.14 \space dm^3 + 1.80 \space dm^3 = 3.94 \space dm^3$$ $$p_i(3.94 \space dm^3) = (1.97 \space bar)(2.14 \space dm^3)$$ $$p_i = \frac{ (1.97 \space bar)(2.14 \space dm^3)}{3.94 \space dm^3} = 1.07 \space bar$$ $$1 \space atm = 1.01325 \space bar$$ $$760 \space torr. = 1 \space atm$$ $$1.07 \space bar \times \frac{1 \space atm}{1.01325 \space bar} \times \frac{760 \space torr.}{1 \space atm} = 803 \space torr$$
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