University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 19 - The First Law of Thermodynamics - Problems - Exercises - Page 639: 19.1

Answer

a) $P-V$ diagram is shown in the figure b) $W = 1330.24 J$

Work Step by Step

a) Since the process is carried out under constant pressure, the $P-V$ diagram is a straight line parallel to the $V$ axis. b) The work done in this process is $P\Delta V$. From the ideal gas equation, we see that $PV = nRT$ $\implies P\Delta V = nR\Delta T$, when $P$ and $n$ are kept constant. Thus the work done by $n=2$ moles of gas on going isobarically from $T_1 = 27^{\circ}\mathrm{C}$ to $T_2 = 107^{\circ}\mathrm{C}$ is $W = nR\Delta T = 2\times 8.314\times (107-27) \mathrm{J} = 1330.24 \mathrm{J}$
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