One mole of an ideal gas is taken from a to $b$ along two paths denoted by the solid and the dashed lines as shown in the graph below. If the work done along the solid line path is $\mathrm{w}_{\mathrm{s}}$ and that along the dotted line path is $w_d$, then the integer closest to the ratio $w_d / w_5$ is
A$5$
B$7$
C$2$
D$1$
IIT 2010, Advanced
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C$2$
c $w_d=4 \times 1.5+1 \times 1+2.5 \times 2 / 3=8.65$
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