You definitionally can not use any of the energy at 300C because that's your rejection temperature. You're not "using 100% of the heat energy you paid for" not only because you did not pay for the ambient heat, you have no mechanism in this scenario to move it to a lower temperature reservoir (and extract work from it) because it's already the lowest temperature in your system - by definition.
Yes, but exergy is integral to mechanical engineering specifically because it’s useful and informative to look at it this way. Your thermal cycle starts at ambient, has a high temperature reservoir to drive heat flow, does work converting the kinetic energy of the thermal system to useful work lowering the temperature, and returns to ambient at the starting position. Exergy, reduced to a grade school level of understanding, is specifically understood from ambient just as if your ground in an electrical system is actually some voltage. Heat flow never passes to absolute zero at any point, nor does current flow to ground, rather both remain pegged to the nonzero reference state.
So yeah I guess "If you change the reality of the situation you can get different results" is technically true, but means nothing.
False. This has been the correct take for process efficiency going back 150 years and has been coined exergy for 75ish years. It’s actually integral to understanding thermal energy systems confined to a non zero ground state just like we have on earth. Go back up and follow the exergy link to Wikipedia or if you must, use a llm and ask it to describe exergy to you but just know you may have to change the prompt a few times to be sure you’re not being fed false information as it looks like you don’t understand the answer.
Understanding that all voltages are relative, and that it makes no sense to use the average voltage between the ionosphere and the Earth's surface when evaluating anything other than discussing the voltage between the ionosphere and the Earths surface, is also something one should expect from someone with an advanced engineering degree.
This was my entire point but no one seems to be able to understand. If you are familiar with electrical systems think of the atmosphere as a 200,000 battery (or more accurately capacitance) with a low value of held charge and a greater than megaohm internal resistance. The “ground” which laypeople think of as zero volts is anything but, you can measure the voltage over distance with a sufficiently high impedance volt meter, there are many science tutorials demonstrating this and even YouTube videos, it’s well established fact the earth acts as a giant capacitor with a net charge of zero volts with respect to the universe.
None of that is relevant here though, because you' don't use Carnot efficiency to describe something not operating with the flow of heat energy.
False. The grade school level understanding math is identical, it’s called thermal resistance for a reason, if you understand the math for one system you understand the math for both. Even going to university level understanding the differential equations for mechanical systems have their mathematically equivalent electrical systems, in fact the family of differential equations applies across all kinds of physical systems, that’s why they are taught that way. It’s not only accurate, it’s elegant.
Well no, because Carnot efficiency is a well established principle of thermodynamics - a direct consequence of the second law - that actually works in both theory and practice, and the electric car thing is some delusional bullshit you came up with. Big difference.
Carnot efficiency is indeed correct in absolute terms but it being the sole thing the vast majority understand creates a false impression of efficiency, it leads people to think thermal processes cannot be efficient in terms of what you pay for and what you get in return, just look at this thread. If you understand electrical systems it’s just as I’ve described above. Our ground isn’t actually true neutral with respect to the universe and it does not matter because it’s the relative efficiency of the system, just like it’s the most informative to understand our thermal ground state isn’t actually absolute zero. The math is exactly the same.