Waypoint Mentor

Thermodynamics without losing track of signs and units.

Thermo problems go wrong on sign conventions and units more than on physics. The tutor sets up the energy balance with you, keeps every sign and unit visible, and explains what each process looks like on a PV or TS diagram.

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Free AI thermodynamics tutor, by voice and chat. No card needed.

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What's the most efficient an engine between 600 K and 300 K could be?
That's the Carnot efficiency: it depends only on the two reservoir temperatures, in kelvin.
‹›Carnot Efficiency
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ηCarnot=1−TCTH=1−300600=0.50\eta_{\text{Carnot}} = 1 - \frac{T_C}{T_H} = 1 - \frac{300}{600} = 0.50

So at most 50% of the heat taken in can become work. A real engine between these temperatures always does worse, because of friction and other irreversibilities.

Common mistake: using °C. With TH=327T_H = 327 °C and TC=27T_C = 27 °C you'd get 1−27/327=92%1 - 27/327 = 92\%, which is wrong.

How the thermodynamics tutor helps

Signs stated up front

It states the sign convention for heat and work before the first equation, which is where most errors come from.

Process diagrams

Each process is sketched on a PV diagram so you can see the work as an area.

Kelvin, always

Temperatures in efficiency formulas are converted to kelvin on the page, every time.

Thermodynamics topics it covers

  • First law and energy balances
  • Ideal gas processes
  • PV and TS diagrams
  • Entropy and the second law
  • Carnot cycle
  • Otto, Diesel and Brayton cycles
  • Heat engines and refrigerators
  • Heat transfer

Not on the list? Ask anyway: it covers any thermodynamics topic, and on Plus it answers from your own uploaded course notes.

How a session works

  1. 1.

    Ask out loud or type

    Press Start talking and talk like you would to a tutor, or type your question. You can interrupt it any time.

  2. 2.

    Watch it on the whiteboard

    The working appears one step at a time. Say "yes" to move on, or ask for a step to be explained another way.

  3. 3.

    Check you've got it

    It ends with a quick question to check, and remembers what you found hard for next time.

Questions about the AI thermodynamics tutor

Can I talk to it out loud?

Yes. Press Start talking and just talk, like a call with a tutor. You can interrupt it mid-sentence, and it puts the working on a whiteboard while it explains. Free accounts get 10 voice minutes a month, with no card needed.

Can it help with steam tables?

It walks through how to read and interpolate property tables for your problem, step by step.

Does it cover heat transfer too?

Yes: conduction through walls, convection, fins, transient cooling and heat exchangers.

Try the AI thermodynamics tutor free

10 voice minutes and 20 messages a month on the free plan. No card needed.

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