Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 18 - A Macroscopic Description of Matter - Conceptual Questions: 11

Answer

The final pressure is 8 atm

Work Step by Step

We can use the ideal gas law to solve this question: $PV = nRT$ $P = \frac{nRT}{V}$ We first write an expression for the initial pressure. $P_1 = \frac{nRT_1}{V}$ We then find the final pressure $P_2$: $P_2 = \frac{nRT_2}{V}$ $P_2 = \frac{nR(4T_1)}{V}$ $P_2 = 4~\frac{nRT_1}{V}$ $P_2 = 4~P_1$ $P_2 = (4)(2~atm)$ $P_2 = 8~atm$ The final pressure is 8 atm.
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