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One mole of an ideal gas is taken from a...

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 dotted line path is `w_(d)`, then the integer closest to the ratio `w_(d)//w_(s)` is:

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The correct Answer is:
2
Process shown by solid line is reversible isothermal So, work
`W_(s)= -4xx0.5 ln(5.5//0.5)`
`= -2 ln 11 L"atm"`
For dotted process (three step irreversible) work done wil be
`W_(d)= -{4xx1.5+1xx1+(2)/(3)xx2.5} L atm. = -{6+1+(5)/(3)}L atm. = -(26)/(3)L atm`.
so, `(W_(d))/(W_(s))=(26)/(3xx2ln11)~~2`
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