Question

# 2 kg of ice at −20oC is mixed with 5 kg of H2O at 20oC in an insulating vessel having negligible heat capacity. Calculate the final mass of water left in the container.Given: Specific heats of water and ice are 1 kcal kg−1oC−1 and 0.5 kcal kg−1oC−1 and latent heat of fusion of ice is 80 k cal kg−1.

A
7 kg
B
6 kg
C
4 kg
D
2 kg
Solution
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#### Applying heat lost=heat gainedm′iceL+mice20(0.5)=mW(1)(20)m′ice80=5×20−2×(20)×0.5=80∴m′ice=1kgHence total amount of water =6kg.

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