A sample of ideal gas is taken from state 1 at pressure and volume to state 2 at…

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

Problem

A sample of ideal gas is taken from state 1 at pressure P0P_0 and volume V0V_0 to state 2 at pressure 0.50P00.50P_0 and volume 2V02V_0 along three different paths. Path I: The gas expands isobarically at pressure P0P_0 from V0V_0 to 2V02V_0, then the pressure instantaneously drops to 0.50P00.50P_0 at constant volume. Path II: The gas follows a straight-line segment on the PP–VV plane connecting the two states. Path III: The gas expands isothermally along a smooth curve that lies entirely between Paths I and II on the PP–VV diagram. Rank the magnitude of the work done BY the gas during the three paths. (a) II > I > III (b) I > II > III (c) I > III > II (d) III > II > I

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