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A solid metal weighing 150 g melts at it's melting point of 800 °C by providing heat at the rate of 100 W. The time taken for it to completely melt at the same temperature is 4 min. What is the specific latent heat of fusion of the metal?

Calorimetry

ICSE 2018

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Answer

Given,

mass m = 150 g = 0.15 kg,

power P = 100 W

time t = 4 min = 4 x 60 = 240 s

energy supplied Q = power x time = 100 x 240 = 24000 J

specific latent heat L = Qm\dfrac{Q}{m} = 240000.15\dfrac{24000}{0.15} = 1.6 x 10 5 J kg-1

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