Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 18 - The Laws of Thermodynamics - Problems and Conceptual Exercises - Page 644: 20

Answer

a) $W=22.0KJ$ b) $Q=22.0KJ$ c) The work done is increased by a factor of two.

Work Step by Step

(a) We know that $W=nRTln(\frac{V_f}{V_i})$ We plug in the known values to obtain: $W=(8.00)(8.31)(245)ln(\frac{4.33}{1.12})$ $W=22.0KJ$ (b) As $Q=\Delta U+W$ $\implies Q=0+22.0KJ$ $Q=22.0KJ$ (positive heat flow into the gas) (c) As we know that work done is proportional to the number of moles of the gas, the work done is increased by a factor of two.
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