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Solved: A gas expands and does P-V work on the
Chapter 6, Problem 17P(choose chapter or problem)
A gas expands and does \(P-V\) work on the surroundings equal to \(325 \mathrm{~J}\). At the same time, it absorbs \(127 \mathrm{~J}\) of heat from the surroundings. Calculate the change in energy of the gas.
Questions & Answers
QUESTION:
A gas expands and does \(P-V\) work on the surroundings equal to \(325 \mathrm{~J}\). At the same time, it absorbs \(127 \mathrm{~J}\) of heat from the surroundings. Calculate the change in energy of the gas.
ANSWER:Step 1 of 2
The goal of the problem is to calculate the change in energy of the gas.
Given:
w = - 325 J
q = 127 J
The change in energy of the gas is calculated using the formula:
U = q + w
q = heat
w = work done
The expansion of gas indicates that there is an increase in the volume of the gas. Therefore, ‘w’ gets - sign and the system absorbs heat. Hence, ‘q’ gets + sign.
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