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)

Work done by the gas is equal to the area between the PV diagram and the horizontal axis. The work…

Answered: A sample of gas expands as shown in the…