For an isochoric process with \(Q=450\,\mathrm{J}\), find \(W\) and \(\Delta U\).
Question 4
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For an isobaric expansion at \(p=2.0\times10^5\,\mathrm{Pa}\) with \(\Delta V=0.010\,\mathrm{m^3}\), find \(W\).
Question 5
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An ideal gas expands isothermally and does \(350\,\mathrm{J}\) of work. Find \(\Delta U\) and \(Q\).
Question 6
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A gas undergoes an adiabatic compression with \(W=-280\,\mathrm{J}\). Find \(Q\) and \(\Delta U\).
Question 7
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A process is isobaric with \(Q=900\,\mathrm{J}\) and \(W=250\,\mathrm{J}\). Find \(\Delta U\) and state whether temperature rises for an ideal gas.
Question 8
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A cyclic process rejects \(400\,\mathrm{J}\) of heat overall. Find net work done by the system and interpret its sign.
Question 9
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An ideal gas goes from state \(A\) to state \(B\) with the same temperature by two processes: isothermal expansion and free expansion into vacuum. Compare \(Q\), \(W\), and \(\Delta U\) for the two processes.
Question 10
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A gas is heated from \(T_i\) to \(T_f\) once at constant volume and once at constant pressure. For an ideal gas, derive which path requires more heat and by how much per mole.