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If you don’t get it:
It takes the same amount of energy to increase the temperature of water by ~70°C (room temp=30°C and boiling point = 100°C) as it takes to send that cup of water 30 000 meters into the air. (If I did the math right)
Now if only we could figure out a way to actually do that without burning a bunch of fuel for the purpose of lifting fuel! Something something tyranny of rockets.
As with so many problems, this one can be solved with a suitably large cannon. Why you’d want to fire cups of water into the stratosphere is left as an exercise for the interested reader.
The general formula:
MCT=MGH
So height=(heat capacity of liquid*change in temp)/9.81
In our case (4184*70)/9.81 ~ 30,000 meters
We could be running several space habitats by now if people just weren’t drinking so much tea.
Is there a site that does a variety of energy comparisons
Bertrand Russell looking at his teapot