Tom Booth wrote: A confusion between two concepts does not involve mathematics, it involves common sense.
If they are mathematical concepts, they require mathematical common sense, aka. equations.
Tom Booth wrote:You erroneously insinuate I have some issues with the equation: ∆U=Q-W, but I do not.
The internal energy U can change ∆ by the addition or subtraction of either heat or work.
If either heat or work are added or subtracted from the internal energy the internal energy will increase or decrease.
Good. So do you accept the following:
∆U=Q-W
∆U=U2-U1=Q-W
U2=U1+Q+W
U1=MCvTc
U2=MCvTh
∆U=MCv(Th -Tc)=MCvTh-MCvTc
???
They are the equations that go with the first law, conservation of energy.
Tom Booth wrote: Fundamentally work and heat are equivalent. Different labels for one and the same unit of energy.
Work and heat are energy in transit. Energy can be quantified with the units of Joules, calories, watt hours, horsepower seconds, etc... it is best to use the same units throughout. But that doesn't make work the same as heat. An equivalence exists, yes. Equivalence, and "The same", are not the same. Mathematically speaking.
Tom Booth wrote: You seem to think or be arguing that an increase in U that results from heat addition can only be reduced by heat removal, which misses the entire point regarding the equivalence of heat and work.
I'm arguing that adiabatic processes do not involve heat transfer. Work exchanges with internal energy. Because heat, work, and internal energy are not the same thing, certain processes can affect two variables, effecting a proper energy balance without affecting the third. Adiabatic is where Q is Zero. The equation becomes:
∆U=W
Moving on:
Heat and work exchange when ∆U= zero.
0=Q-W
Or
W=Q
Two cases where that is true are, isothermal process, and a full cycle. For other individual single strokes, ∆U is not zero. If it's not adiabatic, Q will not be zero. And single strokes with a change in volume will have nonzero work output, could be negative.
It's the full cycle that is of Carnot concern. When adding up a full cycle, it is easy to make mistakes, leave something out.
Tom Booth wrote:You don't need more math, you need a better understanding of basic thermodynamic concepts.
You don't need more math, you need a better understanding of basic thermodynamic
mathematical concepts.
Nicola Tesla was right about a lot of things, however quantum mechanics has proven Tesla and Einstein wrong, it is extremely useful for atomic theory. The atomic bomb was first proven two years after Tesla died. That was about the time the last doubts of Entropy were eliminated, and cemented in the Carnot Theorem. Tesla may not have known.
The important thing in this thread is to understand the difference between Q, ∆U, W, and U and how Q added to U1 produces U2. And how taking W out of ∆U requires Qin and Qout, unless adiabatic, for a full cycle.
Your theory goes against the standard model. Two choices, one a new model needs to form. Or your tests are somehow not working.
If you want someone to agree with your theory, you need to model it. I see no way to model it, and can't help. Further more I see why current theory prohibits it, and it's more than just because it does. Valid logical, mathematical, and empirical, objections arise.