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AP Physics 2
9.4 The First Law of Thermodynamics
9.2 The Ideal Gas Law
AdvancedMCQMathematicalConceptual13.4k
Pressure as a function of volume for the four-step cyclic process.
Pressure as a function of volume for the four-step cyclic process.
A sealed cylinder contains a sample of a monatomic ideal gas that undergoes the four-step thermodynamic cycle \(1 \to 2 \to 3 \to 4 \to 1\) summarized in the table below. In this representation, \(W\) represents the work done on the gas, and the first law of thermodynamics is defined as \(\Delta U = Q + W\).

StepProcess Type\(\Delta U\text{ (J)}\)\(W\text{ (J)}\)\(Q\text{ (J)}\)
\(1 \to 2\)Isobaric expansion\(+900\)\(-600\)\(Q_{1\to 2}\)
\(2 \to 3\)Isochoric cooling\(-900\)\(0\)\(-900\)
\(3 \to 4\)Isobaric compression\(-300\)\(W_{3\to 4}\)\(-500\)
\(4 \to 1\)Isochoric heating\(+300\)\(0\)\(+300\)
CycleComplete cycle\(\Delta U_{\text{net}}\)\(W_{\text{net}}\)\(Q_{\text{net}}\)

Which of the following correctly identifies the values of \(Q_{1\to 2}\), \(W_{3\to 4}\), and \(W_{\text{net}}\)?

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