Entropy can be a state variable in a Carnot cycle because putting more heat in at a higher temperature is the same as taking less heat out at a lower temperature, but doesn't that still leave a net increase in heat for every cycle?
If qin is always greater than qout then the heat is transformed into mechanical work? How does mechanical work reduce heat of the system if its isolated? Even if there is less heat per unit area because there are less particles per unit area there should still be the same heat overall in the...
In a reversible carnot cycle the amount of heat added is always more than the amount of heat taken out. So why doesn't it explode? I'm wondering how heat is conserved mathematically as the area under the curve of a p-v diagram. u=q+w. If the heat during expansion is always more than the heat...