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Question

1kg of ice at 10oC is mixed with 4.4kg of water at 30oC. The final temperature of mixture is(specific heat of ice is 2100J/kgK)

A
2.3oC
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B
4.4oC
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C
5.3oC
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D
8.7oC
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Solution

The correct option is D 8.7oC
Heat released by water to reach 0oC is Q1=mcΔT=4.4×4200×30=55440 J
heat absorbed by ice to melt is Q2=2100×1×10+1×336×103=347000 J
extra heat, Q1Q2=197400 J
(m1+m2)CΔT=197400
(T0)=197400((4.2+1)×4200)
so, T=8.7oC

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