Please help with the question

Dear Student,

For an isothermal reversible expansion work done can be calculated using the formula,
W = − 2.303 nRT log V2/V1
W = - 2.303 nRT log V2/V1 
So work done is directly proportional to the number of moles which in turn is
Number of moles = Given mass / molecular mass
i.e., higher the molecular mass , minimum is the work done. (inversely proportional)

For the given set, the molecular masses are
1. N2 = 28
2. O2 = 32
3. CO2 = 44
4. CH4 = 12 + 4 = 16

As CH4 is having minimum mass, it is having maximum work done.  

Regards.

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