My math:
Boiling a cup (0.24 kg) of water from 25°C to 70°C ~45kJ (0.24kg×45°C×4182J/kg°C)
Raising 0.24 kg of water up a height 30,000 m ~ 71kJ (0.24kg × 9.8m/s^2 × 30,000 m)
So my math says raising the temp of a cup of water from room temp would be equivalent to raising it about 19 km high.
Edit: I’m a moron who can’t read, boiling water from 25 to 100 °C takes:
God I’m stupid. I misread what you wrote as raising water to 70°, not raising water by 70°, without even thinking that that’s not how you make tea. Fixed my math, and the numbers now check out.
My math: Boiling a cup (0.24 kg) of water from 25°C to 70°C ~45kJ (0.24kg×45°C×4182J/kg°C) Raising 0.24 kg of water up a height 30,000 m ~ 71kJ (0.24kg × 9.8m/s^2 × 30,000 m)
So my math says raising the temp of a cup of water from room temp would be equivalent to raising it about 19 km high.
Edit: I’m a moron who can’t read, boiling water from 25 to 100 °C takes:
0.24 kg × 75 °C × 4182 J/kg°C ~ 75kJ
Water boils at 100°C
God I’m stupid. I misread what you wrote as raising water to 70°, not raising water by 70°, without even thinking that that’s not how you make tea. Fixed my math, and the numbers now check out.
Actshually, that is how you make green tea