With same initial conditions , an ideal gas expands from volume `V_(1)" to "V_(2)` in three different ways . The work done by the gas is `W_(1)` if the process is isothermal , `W_(2)` if isobaric and `W_(3)` if adiabatic , then

Options

A. `W_(1)gtW_(2)gtW_(3)`
B. `W_(2)gtW_(3)gtW_(1)`
C. `W_(1)gtW_(3)gtW_(2)`
D. `W_(2)gtW_(1)gtW_(3)`

Answer

D

Explanation

On the corresponding P - V diagram, AC represents the isothermal change, AB represents isobaric change (pressure constant) and AD corresponds to adiabatic process (Slope of Adiabatic is more than the slope of isothermal) and for the indicator diagrams, the area under the graph gives the work done by the gas.
`therefore"Area"ABFEgt"Area"ACFEgt"Area"ADFE`
`thereforeW_(2)gtW_(1)gtW_(3)`