One mole of an ideal gas is taken from `a` and `b` along two paths denoted by the solid and the dashed line as shown in the graph below. If the work done along the solid path is `w_(s)` and that along the dotted path is `w_(d)`, then the integer closest to the ratio `w_(d)//w_(s)` is

Answer

2

Explanation

`w_(d) = 4 xx 1.5 + 1 xx 1 + 2.5 xx 2//3 = 8.65`
Process is isothermal
`w_(s) = 2 xx 2.303 log 55/0.5 = 2 xx 2.303 xx log 11 = 2 xx 2.303 xx 1.0414 = 4.79`
`w_(d)/w_(s) = 8.65/4.79 = 1.80 =2`