General, Organic, and Biological Chemistry: Structures of Life (5th Edition)

Published by Pearson
ISBN 10: 0321967461
ISBN 13: 978-0-32196-746-6

Chapter 8 - Gases - 8.2 Pressure and Volume (Boyle's Law) - Questions and Problems - Page 297: 8.15

Answer

(a) 328 mmHg (b) 2620 mmHg (c) 475 mmHg (d) 5240 mmHg

Work Step by Step

1. Conversion factor: $1 \space L = 1000 \space mL$ 2. According to the Boyle's Law: $$P_1V_1 = P_2V_2 \longrightarrow \frac{P_1V_1}{V_2} = P_2$$ (a) $$P_2 = \frac{(655 \space mmHg)(10.0 \space L)}{20.0 \space L} = 328 \space mmHg$$ (b) $$P_2 = \frac{(655 \space mmHg)(10.0 \space L)}{2.50 \space L} = 2620 \space mmHg$$ (c) $V_2 = 13800 \space mL \times \frac{1 \space L}{1000 \space mL} = 13.8 \space L$ $$P_2 = \frac{(655 \space mmHg)(10.0 \space L)}{13.8 \space L} = 475 \space mmHg$$ (d) $V_2 = 1250 \space mL \times \frac{1 \space L}{1000 \space mL} = 1.25 \space L$ $$P_2 = \frac{(655 \space mmHg)(10.0 \space L)}{1.25 \space L} = 5240 \space mmHg$$
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