A gas expands from to along two alternative paths

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A gas expands from 0.010 m30.010\,\text{m}^3 to 0.040 m30.040\,\text{m}^3 along two alternative paths. Path A: The pressure remains constant at 2.0×105 Pa2.0\times10^{5}\,\text{Pa}. Path B: The pressure decreases linearly with volume from 6.0×105 Pa6.0\times10^{5}\,\text{Pa} at 0.010 m30.010\,\text{m}^3 to 2.0×105 Pa2.0\times10^{5}\,\text{Pa} at 0.040 m30.040\,\text{m}^3. Which statement correctly compares the work WAW_A done BY the gas along Path A with the work WBW_B done along Path B? (a) WBW_B is three times WAW_A. (b) WBW_B equals WAW_A. (c) WBW_B is twice WAW_A.},{ (d) WAW_A exceeds WBW_B.

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