yes but not completely otherwise there is no need of second law. Though the mathematical equation can reach from first to second but only after applying boundary conditions. so there can be some subset of thaat. Moreover every thing depend on point of observation. In this universe at every point some uniquness exist, no two points in this universe can be same. if two quantities are same at 2 point then definitely third quantity will be different. Similarity may exist even in parallel universe but not congurence.

The Second Law put constraints on thermal and caloric equations of state - see the Maxwell equations. Also you have missed the Clausius inequality and the arrow of time.

• The first law of Thermodynamics tells us that heat energy can be converted into the equivalent amount of work, but it is silent about the conditions. The second law concerns the circumstances in which heat can be converted into work and the direction of heat flow.
• The first law tells us or proves the law of conservation of energy in the closed system while the second law introduces the concept of entropy.
• For example, the first law will used to calculate how much energy is transformed during a chemical reaction, while the second law is used to determine whether the reaction can occur spontaneously.

The second law of thermodynamics is wrong, this is a mathematical proof.

I am sorry, but your description and your equations are incomprehensible. In the first part you write two times dV_1, and in the second part it becomes dV_1 and dV_2. So it unclear how two gases are connected to each other. Do they have different pistons? Or they share a piston? How do you make that they have the same temperature? What changes in a cycle? And so on.

It is obvious that this was a typographical error, and I have corrected it.

The main issue at hand is the difference between theory and technology. An experiment is determined by ABCD factors. You can magnify factor A and reduce factor BCD. In the theoretical analysis stage, you can assume that BCD=0 and only A works. As for the specific structure of BCD, there is no need to worry about it. For example, in the Carnot cycle, no one asked him how to achieve no leakage or friction.

The correction shows that there are two pistons. But then it is unclear how do you keep the same temperature in both gases. The gases seem to be not connected to each other.

You lack the ability to refine theoretical models, and no matter how many answers I give, it's still zero.

Another German doctor is similar to you, leaving me speechless.

Thank you. Your answers clearly demonstrate your level of discussion.