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 `W_(s)` and that along the the dotted line path is `w_(d)`, then the integer closest to the ratio `w_(d)//w_(s)` is

Answer

2

Explanation

Work done along dashed path |-w| `=sumpDeltaV = 4 xx 1.5 +1 xx 1 + 2/3 xx 2.5 = 8.65` L atm
Work done along solid path
`-W = nRT ln V_(2)/V_(1)= 2 xx 2.3 log 5.5/0.5 = 2 xx 2.3 log 11 = 4.79`
`rArr W_(d)/W_(s) = (8.65)/(4.79) = 1.80 ~~ 2`