Introductory Chemistry (5th Edition)

Published by Pearson
ISBN 10: 032191029X
ISBN 13: 978-0-32191-029-5

Chapter 11 - Gases - Exercises - Problems - Page 402: 51

Answer

The final pressure is ${P_{2}} = 228.1 kPa$ or $1710.9 mm Hg$

Work Step by Step

Using the combined gas law with the involved quantities we can see that $\frac{P_{1}V_{1}}{T_{1}} = \frac{P_{2}V_{2}}{T_{2}}$. Since the question asks for the final pressure, we must solve for $P_{2}$ Next we must convert the pressure into standard units of kPa by using the conversion factor below: $725 mm Hg\times\frac{1 kPa}{7.50062 mm Hg} = 96.66 kPa$ Rearranging for $P_{2}$, we get: $\frac{P_{1}V_{1}{T_{2}}}{T_{1}{V_{2}}} = {P_{2}}$. Therefore, $\frac{96.66 kPa\times 28.4 L \times375 K }{305 K\times 14.8 L} = {P_{2}}$. $${P_{2}} = 228.1 kPa$$
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