To solve this problem it is necessary to use the calorimetry principle. From the statement it asks about the remaining ice, that is, to the point where the final temperature is 0 ° C.
We will calculate the melted ice and in the end we will subtract the total initial mass to find out how much mass was left.
The amount of heat transferred is defined by
Where,
m = mass
c = Specific heat
Change in temperature
There are two states, the first is that of heat absorbed by that mass 'm' of melted ice and the second is that of heat absorbed by heat from -35 ° C until 0 ° C is reached.
Performing energy balance then we will have to
Where,
= Heat absorbed by whole ice
= Heat absorbed by mass
= Heat energy by latent heat fusion/melting
Replacing with our values we have that
Rearrange and find m,
Therefore the Ice left would be
Therefore there is 0.079kg ice in the containter when it reaches equilibrium