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 640: 19.12

Answer

(a) $W = -9.0 \times 10^4 J$ (b) $\Delta U = - 2.30 \times 10^5J $ (c) No. It doesn't matter

Work Step by Step

$(a)$ The process is a constant pressure process. The work done by the gas is $W = P(V_f -V_i) $ $W = (1.80×10^5 Pa)(1.20 m^3 −1.70 m^3)$ $W = -9.0 \times 10^4 J$ $(b) $ The absolute value of total heat added is $\Delta U = \Delta Q - W$ $\Delta Q = \Delta U + W$ $\Delta Q = (-1.40 \times 10^5 J)+ (-9.0 \times 10^4 J)$ $\Delta U = - 2.30 \times 10^5J $ The negative sign indicates that heat is flowing out of the system. $(c)$ It doesn't matter if the gas is ideal or not because the energy of the system will remain conserved, obeying the First Law of Thermodynamics.
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