If W1 is the work done in compressing an ideal gas from a given initial state through a certain volume isothermally and W2 is the work done in compressing the same gas from the same initial state through the same volume adiabatically, then

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If W<sub>1</sub> is the work done in compressing an ideal gas from a given initial state through a certain volume isothermally and W<sub>2</sub> is the work done in compressing the same gas from the same initial state through the same volume adiabatically, then