I assumed 10L of water and 10L of ice at a time, once the ice melts and the system warms to 10C, half the water would need to be removed and replaced with 10L more ice.
I kinda forgot to put my calcs in, so here goes:
Heat capacity of ice is about 0.5 kcal/kg/degreeC
Heat capacity of water is 1 kcal/kg/degreeC
Enthalpy of fusion (heat required to melt ice) is 80 kcal/kg (this is why an ice cube can cool your drink without rapidly melting, it absorbs much more energy transitioning to water than is in the surrounding liquid)
The 10L of water in the system is negligible to the calculation as it fluctuates between 10C and 0C effectively until all the ice is gone (152 L of ice). So assuming the water in the bucket only gets to 10C at the end, the 10L of water you start with really only absorbs 100kcal of energy by the end. As you say, the water is the transfer medium but the work is done by the ice.
So factoring in the water you still need 151 L of ice
Last edited by Joe Camel; 03-17-2008 at 05:20 PM.
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