An ice cube with mass mi=30 g and temperature T=0℃ completely melts in a cup of water. The mass of the water in the cup is mw=275 g and its initial temperature, before dropping the ice cube in it, is Tw=29℃. Calculate the temperature of the water in the cup at the instant the ice cube has completely melted. The specific heat capacity of water is cw=4.186 J/(g℃) and the latent heat of fusion of ice is Lf=334 J/g.

When ice melts down completely then the temperature of water must be 20.3 degree C

Explanation:

As per energy conservation law we know that thermal energy given by the water = thermal energy absorbed by ice which will help it to melt down

So here when ice melts down completely then we have

so we have

now we have

no. dot product   =0 when vecs at right angles

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