Starting with the 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 purely isothermal, `W_2` if purely isobaric and `W_3` if purely adiabatic, then

Options

A. `W_2gtW_1gtW_3`
B. `W_2gtW_3gtW_1`
C. `W_1gtW_2gtW_3`
D. `W_3gtW_1gtW_2`

Answer

A

Explanation

`(P_0,V_1,T_0)underset(W_1)overset(isothermal)to(,V_2)`
`(P_0,V_1,T_0)underset(W_2)overset(isoba ric)to(,V_2)`
`(P_0,V_1,T_0)underset(W_3)overset(adiabatic)to(,V_2)`
Draw P-V diagram
Compare area below the processes
`W_2 gt W_1 gt W_3`