For an iso-thermal process and an adiabatic process if the initial condition and the final volume is the same, then the work done will be:

CONCEPT:

Isothermal process:

• When a thermodynamic system undergoes a physical change in such a way that its temperature remains constant, then the change is known as the isothermal process.

⇒ T = constant

Adiabatic process:

• When a thermodynamic system undergoes a change in such a way that no exchange of heat takes place between the system and surroundings, the process is known as the adiabatic process.

⇒ PVγ = constant

EXPLANATION:

• We know that the work done in the thermodynamic process is equal to the area under the P-V curve.
• Since the slope of the adiabatic process is more than the isothermal process, so area under the P-V curve for the adiabatic process will be less than the isothermal process when the initial condition and the final volume is the same.
• So the work done in the isothermal process will be more than the adiabatic process. Hence, option 2 is correct.