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A system is taken from the state A to the state B along two possible paths: path 1 and path 2. See pictur Along which path is the work done by the system greater? PATH 1 PATH 2

A system is taken from the state A to the state B along two possible paths: path 1 and path 2. See pictur Along which path is the work done by the system greater? PATH 1 PATH 2

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### Work Done by a System Between Two States A system is taken from the state A to the state B along two possible paths: path 1 and path 2. Refer to the picture below. **Question:** Along which path is the work done by the system greater? **Graph Explanation:** - The graph is a Pressure-Volume (P-V) diagram. - The x-axis represents volume (V). - The y-axis represents pressure (P). - State A is the initial state, and state B is the final state. - Two paths, labeled as Path 1 and Path 2, show different processes connecting state A to state B. - **Path 1**: This path is shown looping upwards before reaching B, with an inclined loop. - **Path 2**: This path dips down and then inclines upwards to meet path B. To determine along which path the work done by the system is greater, one needs to consider the area under the curve for each path. In a P-V diagram, the work done by the system is represented by the area under the process curve. - The area under **Path 1** should be examined to compare it with **Path 2**. - The larger the enclosed area under the curve on the graph, the greater the work done by the system. Based on the graph, it appears that Path 1 has a larger area under the curve compared to Path 2, suggesting that the work done by the system is greater along Path 1.
Transcribed Image Text:### Work Done by a System Between Two States A system is taken from the state A to the state B along two possible paths: path 1 and path 2. Refer to the picture below. **Question:** Along which path is the work done by the system greater? **Graph Explanation:** - The graph is a Pressure-Volume (P-V) diagram. - The x-axis represents volume (V). - The y-axis represents pressure (P). - State A is the initial state, and state B is the final state. - Two paths, labeled as Path 1 and Path 2, show different processes connecting state A to state B. - **Path 1**: This path is shown looping upwards before reaching B, with an inclined loop. - **Path 2**: This path dips down and then inclines upwards to meet path B. To determine along which path the work done by the system is greater, one needs to consider the area under the curve for each path. In a P-V diagram, the work done by the system is represented by the area under the process curve. - The area under **Path 1** should be examined to compare it with **Path 2**. - The larger the enclosed area under the curve on the graph, the greater the work done by the system. Based on the graph, it appears that Path 1 has a larger area under the curve compared to Path 2, suggesting that the work done by the system is greater along Path 1.
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