Ismael A. answered • 10/26/16

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Your last statement implies that the ice is supposed to melt completely. If that is the case then:

Heat lose by water = Heat gain by ice to rise its temperature from -12

^{o}C to 0^{o}C + Heat gain by ice to melt completely. Note that while the ice is melting the temperature of the water-ice system remains at 0^{o}C which is the final temperature (the way your problem is worded).Be careful here:

Lose heat is negative and gain heat is positive.

So you have to solve an equation like this: -Q

_{w}= Q_{i}+ mL_{f}where m = 500 and the unknown is the initial temperature of the water T_{i}:-2830(4.184)(0-T

_{i}) = 500(2.1)(0-(-12)) + 334(500)Solve above equation for T

_{i}and then find delta T (ΔT) which is the increment of temperature of water in this case.Be careful here again:

ΔT can be positive or negative.

ΔT = Final temperature - Initial temperature.

If you have been paying attention to my explanation above you already know what is the value of the final temperature and the value of initial temperature of water (the one you solve the equation for).

Psalm H.

10/26/16