5 ms·

You're not just melting ice, but actually bringing it up to body temperature. 1 cubic inch is 2.54 * 2.54 * 2.54 = 16.4 cc = 16.4 grams. 1 F = 5/9 C. The heat

You're not just melting ice, but actually bringing it up to body temperature. 1 cubic inch is 2.54 * 2.54 * 2.54 = 16.4 cc = 16.4 grams. 1 F = 5/9 C. The heat capacity of water is 1 cal/gm.C. So the number of calories is 16.4 * 5/9= 9.1 9.1 cal / F / cubic inch * ( 98 F - 34 F) = 582 cal / cubic inch Edit: Yes, I realize 1 Cal = 1000 cal, I just wanted to clarify the math.

albertgoeswoof 5y ago
Your body is already at body temperature, and it’s at least 1000x the mass of the water, so the amount of energy required to move it to body temp is tiny, relatively speaking
- 988747 5y ago
  > at least 1000x the mass of the water Minor nitpick but: Typical glass of water weights 250g, but typical (even obese) human weight is very far from 250kg :) Guess you put one too many zero.
  - codetrotter 5y ago
    But they were talking about an ice cube, not a glass of water
delecti 5y ago
You're right that that's significantly more than just a few, but it's still actual calories, not food calories.
Raidion 5y ago
So your math is right (I think), but the calories in food are kilocals (capital C Calories). So it's .5 Cal /cubic inch.
xsmasher 5y ago
So 0.5 dietary calories? You're better off doing one jumping jack.
richthegeek 5y ago
Plus the energy to melt the ice, 0.016kg * 334kJ/kg = 5334J = 1274 cal. A grand total of 1.8kcal per ice cube. Only 1000 ice cubes and you could eat twice as much as usual! At around 16 liters of water once melted that would be an interesting Darwin Award for sure.
mixedmath 5y ago
I think this is easier to see if we consider a milliter of water and stick with celsius. 1ml of water weights 1 gram, and raising this ml of water one degree celsius is 1 (little c) calorie. Drinking 1 ml of ice water (at about 0 degrees celsius) and raising it to body temperature (at about 37 degrees celsius) thus takes about 37 (little c) calories. Thus drinking a liter of ice cold water would consume about 37 (big C) Calories.
- leereeves 5y ago
  And a pound of fat contains 3500 Calories (kcal), so drinking about 100L of ice water would consume one pound of fat. One could drink 15L per day (about one liter per hour and 5x the recommended minimum intake) and burn about one pound of fat per week.
  - brador 5y ago
    Or just sit in an ice bath. Also, I wonder if the reverse is true: if you drink a warm drink does that cause calories that would have been burned heating you to not be burned?
goldcd 5y ago
Or in metric - weight of the ice in grams, multiplied by difference in temperature of your body and the ice.

albertgoeswoof 5y ago

Your body is already at body temperature, and it’s at least 1000x the mass of the water, so the amount of energy required to move it to body temp is tiny, relatively speaking

988747 5y ago
> at least 1000x the mass of the water Minor nitpick but: Typical glass of water weights 250g, but typical (even obese) human weight is very far from 250kg :) Guess you put one too many zero.
- codetrotter 5y ago
  But they were talking about an ice cube, not a glass of water

delecti 5y ago

You're right that that's significantly more than just a few, but it's still actual calories, not food calories.

Raidion 5y ago

So your math is right (I think), but the calories in food are kilocals (capital C Calories). So it's .5 Cal /cubic inch.

xsmasher 5y ago

So 0.5 dietary calories? You're better off doing one jumping jack.

richthegeek 5y ago

Plus the energy to melt the ice, 0.016kg * 334kJ/kg = 5334J = 1274 cal. A grand total of 1.8kcal per ice cube. Only 1000 ice cubes and you could eat twice as much as usual! At around 16 liters of water once melted that would be an interesting Darwin Award for sure.

mixedmath 5y ago

I think this is easier to see if we consider a milliter of water and stick with celsius. 1ml of water weights 1 gram, and raising this ml of water one degree celsius is 1 (little c) calorie. Drinking 1 ml of ice water (at about 0 degrees celsius) and raising it to body temperature (at about 37 degrees celsius) thus takes about 37 (little c) calories. Thus drinking a liter of ice cold water would consume about 37 (big C) Calories.

leereeves 5y ago
And a pound of fat contains 3500 Calories (kcal), so drinking about 100L of ice water would consume one pound of fat. One could drink 15L per day (about one liter per hour and 5x the recommended minimum intake) and burn about one pound of fat per week.
- brador 5y ago
  Or just sit in an ice bath. Also, I wonder if the reverse is true: if you drink a warm drink does that cause calories that would have been burned heating you to not be burned?

goldcd 5y ago

Or in metric - weight of the ice in grams, multiplied by difference in temperature of your body and the ice.