Let,
Given:-
When the system reaches the final temperature T then the total heat flow for the system becomes zero,
Where,
Since the ice will go through three stages in this process, hence the for ice, which has initial temperature of -10.3oC and final temperature 0oC, given by,
This is the heat gain by the ice.
Now, for the water, which drops the temperature from 84.1oC to 29.9oC is give by,
The negative sign indicates that the heat is lost by the water.
Now the total heat is given by,
This the value of ice in kilograms which required to drop in to the water to make the final temperature of the system 29.9 oC.
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