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: 8.18

Answer

(a) 50. mL (b) 10. mL (c) 6.1 mL (d) 190 mL

Work Step by Step

1. Conversion factors: $1 \space atm = 760 \space mmHg (exact)$ $1 \space atm = 760 \space Torr (exact)$ 2. According to the Boyle's Law: $$P_1V_1 = P_2V_2 \longrightarrow \frac{P_1V_1}{P_2} = V_2$$ (a) $$V_2 = \frac{(0.80 \space atm)(25 \space mL)}{0.40 \space atm} = 50. \space mL$$ (b) $$V_2 = \frac{(0.80 \space atm)(25 \space mL)}{2.00 \space atm} = 10. \space mL$$ (c) $P_2 = 2500 \space mmHg \times \frac{1 \space atm}{760 \space mmHg} = 3.3 \space atm$ $$V_2 = \frac{(0.80 \space atm)(25 \space mL)}{3.3 \space atm} = 6.1 \space mL$$ (d) $P_2 = 80.0 \space Torr \times \frac{1 \space atm}{760 \space Torr} = 0.105 \space atm$ $$V_2 = \frac{(0.80 \space atm)(25 \space mL)}{0.105 \space atm} = 190 \space mL$$
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