ICSE Class 10 Physics 2020 Solved Paper

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Question : 59
Total: 67
A piece of ice of mass 60g is dropped into 140 g of water at 50C. Calculate the final temperature of water when all the ice has melted.
(Assume no heat is lost to the surrounding)
Specific heat capacity of water =4.2Jg1k1
Specific latent heat of fusion of ice =336Jg1
Solution:  
Given : mass of water (m)=140g , initial temperature of water =50C
mass of ice (m)=60g, initial temperature of ice =0C.
Let the final temperature =TC
By the principle of method of mixture, Heat lost by water = Heat gained by ice
mct=mL+mCt
140×4.2×(50T)=60×336 +60×42×(T0)
588(50T)=20160+252T
29400588T=20160+252T
2940020160=588T+252T
9240=840T
or T=
9240
840
=11C.
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