Import Question JSON

\text{The maximum work is done when the external pressure } P_{ext} \text{ of the surroundings on the system is equal to } P\text{, the pressure of the system. If } V \text{ is the volume of the system, the work performed as the system moves from state 1 to 2 during an isobaric thermodynamic process, } W_{12}\text{, is the maximum work.} \text{Since for the same amount of expansion,} \text{Area}_{Isobaric} > \text{Area}_{Isothermal} > \text{Area}_{Adiabatic} > \text{Area}_{Isochoric} \text{Work done in thermodynamic processes is represented by the area under the P-V curve. From the P-V diagram shown:} - \text{Isobaric process: Constant pressure - represented by a horizontal line. Has the largest area under the curve for the same volume change.} - \text{Isothermal process: Constant temperature - represented by a hyperbolic curve } (PV = \text{constant})\text{.} - \text{Adiabatic process: No heat exchange - steeper curve than isothermal.} - \text{Isochoric process: Constant volume - vertical line, so area under curve = 0, hence no work done.} \text{For the same volume change, the isobaric process has the maximum area under the P-V curve, therefore maximum work is done.} \text{Therefore, option (1) is correct.}