Final answer:
The work of gas expanding from 2 bar and 2 m³ to 1 bar and 4 m³ corresponds to an isobaric expansion because the volume increases while the pressure remains constant.
Step-by-step explanation:
The work of gas expanding from 2 bar and 2 m³ to 1 bar and 4 m³ is associated with a isobaric expansion. During an isobaric process, the pressure remains constant while the volume changes. Since the problem states that the gas goes from 2 m³ to 4 m³ and the pressure drops from 2 bar to 1 bar, it cannot be isothermal, adiabatic, or isochoric as these involve overall constant volume, no heat transfer, or constant temperature respectively. The pressure change obviously indicates that the process cannot be isochoric or isobaric and the fact that both pressure and volume change also eliminates the possibility of an adiabatic process, which requires either temperature or pressure to remain constant if the process is quasi-static. Therefore, the correct answer is B) Isobaric expansion.The work of gas from 2 bar 2 m³ to 1 bar 4 m³ is associated with isobaric expansion (B).
In an isobaric process, the pressure of the system remains constant. In this case, the pressure changes from 2 bar to 1 bar, while the volume increases from 2 m³ to 4 m³. This type of expansion occurs at constant pressure and is represented by a horizontal line on a pV diagram.An isothermal process (A) is one where the temperature of the system remains constant. A adiabatic process (C) is one where there is no heat exchange between the system and its surroundings. And an isochoric process (D) is one where the volume of the system remains constant.