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Question

1 g of ice at 0oC is supplied with 500 J of heat energy. Explain the temperature change of material.

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Solution

as the ice is already at 0 C there wont be any temperature change but only phase change hence the energy required for this change is
Q=mΔHf
where m is the mass and Hf is the heat of fusion
Q1=1g×334J/g=334J

Now heat required to change the temperature of water to 100 C is
Q=mcΔT
Q2=1g×4.18×(1000)=418J

As we dont have sufficient energy to boil water to 100 C therefore water must be boiling at low temp and hence there wont be any state change

the energy left after first state change is
Q2=500Q1=166J
Q2=mcΔT
166=1×4.186×(T0)
T=39.66oC

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