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A sample of gas expands as shown in the figure below, where Vo = 8.0 m3 and po = 64 Pa. How much work is done by the gas if its pressure changes with volume via each of the three paths shown in the figure? Po B 0 Vo 4.0 Vo Volume (m) (a) path A 192 (b) path B (c) path C n lofturard the Pressure (Pa)

A sample of gas expands as shown in the figure below, where Vo = 8.0 m3 and po = 64 Pa. How much work is done by the gas if its pressure changes with volume via each of the three paths shown in the figure? Po B 0 Vo 4.0 Vo Volume (m) (a) path A 192 (b) path B (c) path C n lofturard the Pressure (Pa)

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A sample of gas expands as shown in the figure below, where \( V_0 = 8.0 \, \text{m}^3 \) and \( p_0 = 64 \, \text{Pa} \). How much work is done by the gas if its pressure changes with volume via each of the three paths shown in the figure? ### Diagram Explanation: The graph displays three paths (A, B, C) on a Pressure (\(\text{Pa}\)) vs. Volume (\(\text{m}^3\)) plot: - **Path A**: A horizontal line from \((V_0, p_0)\) to \((4.0V_0, p_0)\) indicating constant pressure. - **Path B**: A diagonal line from \((4.0V_0, p_0)\) to \((V_0, 0)\) indicating a linear decrease in pressure as volume decreases. - **Path C**: A horizontal line from \((V_0, 0)\) to \((4.0V_0, 0)\) indicating zero pressure. ### Work Calculation: The work done by the gas is equal to the area between the plot and the horizontal axis. If a path is rightward, the area is positive; if it is leftward, the area is negative. ### Problem Solving Section: ### Answers: - **(a) Path A**: \(192 \, \text{J}\) - **(b) Path B**: \([Answer Pending]\) Labeled as \(J\) - **(c) Path C**: \([Answer Pending]\) Labeled as \(J\) **Note**: The red cross next to Path A indicates an incorrect entry for the work calculation. ### Additional Materials: - [eBook Available] for further reading and problem-solving examples.
Transcribed Image Text:A sample of gas expands as shown in the figure below, where \( V_0 = 8.0 \, \text{m}^3 \) and \( p_0 = 64 \, \text{Pa} \). How much work is done by the gas if its pressure changes with volume via each of the three paths shown in the figure? ### Diagram Explanation: The graph displays three paths (A, B, C) on a Pressure (\(\text{Pa}\)) vs. Volume (\(\text{m}^3\)) plot: - **Path A**: A horizontal line from \((V_0, p_0)\) to \((4.0V_0, p_0)\) indicating constant pressure. - **Path B**: A diagonal line from \((4.0V_0, p_0)\) to \((V_0, 0)\) indicating a linear decrease in pressure as volume decreases. - **Path C**: A horizontal line from \((V_0, 0)\) to \((4.0V_0, 0)\) indicating zero pressure. ### Work Calculation: The work done by the gas is equal to the area between the plot and the horizontal axis. If a path is rightward, the area is positive; if it is leftward, the area is negative. ### Problem Solving Section: ### Answers: - **(a) Path A**: \(192 \, \text{J}\) - **(b) Path B**: \([Answer Pending]\) Labeled as \(J\) - **(c) Path C**: \([Answer Pending]\) Labeled as \(J\) **Note**: The red cross next to Path A indicates an incorrect entry for the work calculation. ### Additional Materials: - [eBook Available] for further reading and problem-solving examples.
**Question:** What mass of steam at 100°C must be mixed with 185 g of ice at its melting point, in a thermally insulated container, to produce liquid water at 60°C? **Response:** 43.08 g (This answer is marked incorrect with a red "X") **Additional Materials:** - eBook (link or reference provided for further reading)
Transcribed Image Text:**Question:** What mass of steam at 100°C must be mixed with 185 g of ice at its melting point, in a thermally insulated container, to produce liquid water at 60°C? **Response:** 43.08 g (This answer is marked incorrect with a red "X") **Additional Materials:** - eBook (link or reference provided for further reading)
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