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. For an optimal gas, crafted by reversible extension under isothermal condition can be determined by utilizing the articulation

   

An example containing 1.0 mol of an ideal gas is extended isothermally and reversibly to multiple times of its unique volume, in two separate tests. The extension is completed at 300 K and 600 K separately. Pick the right alternative. (I) Work done at 600 K is multiple times the work done at 300 K. (ii) Work done at 300 K is double the work done at 600 K. (iii) Work done at 600 K is double the work done at 300 K. (iv) ∆U = 0 in the two cases.
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solution:

 

Alternative (iii) and (iv) are the appropriate responses.

work done at 600 K is double the work done at 300 K. Since each case includes isothermal extension of an optimal gas, there is no adjustment of interior energy, i.e., 

   

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