A) 7 kg
B) 6 kg
C) 4 kg
D) 2 kg
Correct Answer: B
Solution :
Initially ice will absorb heat to raise it's temperature to 0oC then it's melting takes place If mi = Initial mass of ice, mi' = Mass of ice that melts and mW = Initial mass of water By Law of mixture Heat gained by ice = Heat lost by water Þ \[{{m}_{i}}\times c\times (20)+{{m}_{i}}'\,\times L\] = \[{{m}_{W}}{{c}_{W}}[20]\] Þ \[2\times 0.5(20)+{{m}_{i}}'\times 80\] = \[5\times 1\times 20\] Þ \[{{m}_{i}}'\]= 1kg So final mass of water = Initial mass of water + Mass of ice that melts = 5 + 1= 6 kg.
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