Properties Of Solids And Liquids Question 564

Question: 2 kg of ice at 20C is mixed with 5kg of water at 20C in an insulating vessel having a negligible heat capacity. Calculate the final mass of water remaining in the container. It is given that the specific heats of water and ice are 1kcal/kg/C and 0.5kcal/kg/C while the latent heat of fusion of ice is 80 kcal/kg

Options:

A) 7kg

B) 6kg

C) 4kg

D) 2kg

Show Answer

Answer:

Correct Answer: B

Solution:

Initially ice will absorb heat to raise its temperature to 0C then it’s melting takes place

If m1 = Initial mass of ice, m2 ’ = Mass of ice that melts and mW = Initial mass of water

By Law of mixture

Heat gained by ice = Heat lost by water

m1×(20)+m1×L=mWcW[20]

2×0.5(20)+m1×80=5×I×20

m1 =1kg

So, final mass of water = Initial mass of water + Mass of

Ice that melts = 5 +1 = 6kg



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