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Question

A molten metal of mass 150g is kept at its melting point 800oC. When it is allowed to freeze at the same temperature, it gives out 75,000J of heat energy
(a) What is the specific latent heat of the metal?
(b) If the specific heat capacity of metal is 200Jkg1K1, how much additional heat energy will the metal give out in cooling to 50oC?

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Solution

Let L be the latent specific heat of the metal.
When the metal is allowed to be solidified its mp i.e. 800C, it will give out latent heat only.
mL=750000.150×L=75000L=500000Jkg1
Now,
Heat given out by the metal in cooling down to 50C. Fall in temperature will be 800C(50C)=850C
Heat given out= m×s×t=(0.150×200×850)=25500J

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