Posted by James on Thursday, July 19, 2012 at 4:46pm.
You balance the heat equation.
heat gained by melting ice+heat gained by remaining ice warming up + heat gained by hot water=0
This of course means that the nonmelted ice is at a final temperature of zero, otherwise there cannot be an ice/water mxture.
Heat gained by melting ice:
(70-m)Hf+ (70-m)cice(8)
Heat gained by nonmelting ice:
(m*cice(8)
heat gained by hot water: 100*cwater(0-20)
add them, set to zero, solve for m.
I'm getting -25.1 g when I use this equation.
.07*334kJ-m334+.07*2.1*8+.1*4.18*(-20)=0
m= - 1/334 * (.418*20-.07*334-.07*16.8)
which is not a negative number....
check my work, most of it was in my head.
I forgot that 70g was 0.07 kg. I was using 0.007 kg. Thank you. This question makes a lot more sense now.
7.896 degrees celsius
7.896 degrees celsius and 15.125 g of ice
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