500g of water at 60℃ is contained in a vessel of negligible heat capacity.Into this water is added 400g of ice at 0℃.Calculated the amount of ice which does not melt.
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Given :-
Mass of water = m = 500 g
SHC of water = c = 4.2 Jg-¹°C-¹
SLH of ice = L = 336 Jg-¹
As we know that,
Heat lost by 500 g water at 60°C,
H = mc(T-0)
H = 500 × 4.2 × 60
Again,
Heat lost in melting m gram of ice at 0°C
mL = H
m × 336 = 500 × 4.2 × 60
m = 30000 × 4.2/336
m = 375 g
Hence,
Amount of ice which doesn't melt = 400 - 375 = 25 g.
Answer......
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