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sf1001

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- TL;DR Summary
- I made a presentation where I derived, or at least attempted to derive, the formulae for the upper bounds of the efficiency/cop for a heat engine, work driven heat pump, and a heat driven heat pump with 3 thermal reservoirs, hot, warm, and cold. Could someone check my math?

I made a presentation where I derived, or at least attempted to derive, the formulae for the upper bounds of the efficiency/cop (cop = coefficient of performance) for a heat engine, work driven heat pump, and a heat driven heat pump with 3 thermal reservoirs, hot, warm, and cold. There are many online sources to compare my result for the efficiency/cop of a heat engine or work driven heat pump with 2 heat reservoirs, hot and cold, but I haven't found any for the last case, the heat driven heat pump. I am assuming all isothermal heat exchanges with the heat reservoirs, which I think yields a theoretical upper bound for the calculated efficiencies and cop. I intend to use this presentation for tutoring HS physics. Are there any mathematical errors in the linked presentation, particularly for my formulae for the cop of the heat driven heat pump? Also, is there a way I could make the presentation more succinct? Here is a link to the presentation:

https://docs.google.com/presentatio...ouid=113815052145113661511&rtpof=true&sd=true

https://docs.google.com/presentatio...ouid=113815052145113661511&rtpof=true&sd=true