• Jocker Black@lemmy.mlOP
    link
    fedilink
    English
    arrow-up
    34
    ·
    edit-2
    1 year ago

    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)

    • funnystuff97@lemmy.world
      link
      fedilink
      English
      arrow-up
      12
      arrow-down
      2
      ·
      edit-2
      1 year ago

      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

        • funnystuff97@lemmy.world
          link
          fedilink
          English
          arrow-up
          7
          ·
          1 year ago

          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.

        • HappycamperNZ@lemmy.world
          link
          fedilink
          English
          arrow-up
          6
          arrow-down
          1
          ·
          1 year ago

          They could drink green tea, which seeps at around 70.

          Or that could be jasmine, its one of them.

      • mkwt@lemmy.world
        link
        fedilink
        English
        arrow-up
        1
        ·
        1 year ago

        In the ISA atmosphere model, the tropopause starts at an altitude of 11 km. So you might be able to say that 19 km counts as ‘stratosphere’.

    • mild_deviation@programming.dev
      link
      fedilink
      English
      arrow-up
      3
      ·
      1 year ago

      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.

      • notabot@lemm.ee
        link
        fedilink
        English
        arrow-up
        2
        ·
        1 year ago

        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.

    • nooneescapesthelaw@lemmy.ml
      link
      fedilink
      English
      arrow-up
      1
      ·
      1 year ago

      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