Consider the following two statements.

The figure shows the (P-V) diagram of an ideal gas undergoing a change of state from A to B. Four different paths I, II, III and IV, as shown in the figure, may lead to the same change of state.
               

Which of the following options contains only correct statements?

A gas expands from \(\mathrm{i}\) to \(\mathrm{f}\) along the three paths indicated. The work done along the three paths denoted by ${\mathrm{W}}_1, {\mathrm{W}}_2, \mathrm{and} {\mathrm{W}}_3$ have the relationship:
                
1.  ${\mathrm{W}}_1 < {\mathrm{W}}_2< {\mathrm{W}}_3$

2.  ${\mathrm{W}}_2 < {\mathrm{W}}_1 = {\mathrm{W}}_3$

3.  ${\mathrm{W}}_2 < {\mathrm{W}}_1 < {\mathrm{W}}_3$

4.  ${\mathrm{W}}_1 > {\mathrm{W}}_2 > {\mathrm{W}}_3$