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Latent Heat

We have 20 Kg...

Question

We have 20 Kg of a block of a substance at its melting point. The substance has a latent heat of fusion of 1500 Joules per kilogram and a specific heat at of 2500 Joules per kilogram degree Celcius. How much heat is needed to change the block entirely into a liquid?

30000 J

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750 J

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1250 J

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3000 J

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8000 J

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Solution

The correct option is B 30000 J
Mass of substance to be converted into liquid $m = 20 k g$
Latent heat of fusion of substance $H_{f} = 1500$ $J / k g$
Thus heat required to change block into liquid $Q = m H_{f} = 20 \times 1500 = 30000 J$

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