Suppose an adiabatic expansion(W2) occurs and then an adiabatic compression(W1) is done to bring it back to its initial volume. In Omni calculator (combined gas law calculator) I saw that W2>W1 for some cases (eg. nitrogen of 1atm at 300K in 15container expand to 30 case)
But if that is true, then after expansion and compression if we introduce a hot reservoir we can run the process in cycle. In each cycle the work output is W2-W1 and what is more interesting is that we don't need a cold reservoir here. Or in other words it is a perpetual motion machine of 2nd kind. Please do help me solve this doubt. I also don't understand (if Omni is right) why the compression yielded less work. For helium case i didn't see this problem( which is a near approximation for ideal gas). Surely ideal gas don't do such things.
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