I need a fan!

A 50-watt immersion heater just keeps 375 g 375\text{ g} of a molten material at its melting point. If I switch off the heater, then the temperature starts falling 5 minutes later. Calculate the specific latent heat of fusion of the metal.

Submit your answer in Jg 1 \text{ Jg}^{-1} .


The answer is 40.

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1 solution

Ashish Menon
Apr 7, 2016

Relevant wiki: Heat Transfer

Heat energy supplied by heater = P × t = 50 × ( 5 × 60 ) J ( Because 1 min = 60 sec ) = 15000 J Heat absorbed by material = m × L 15000 = 375 × L L = 15000 375 = 40 J/g \begin{aligned} \text{Heat energy supplied by heater} & = P × t\\ & = 50 × (5 × 60)J (\text{Because 1 min = 60 sec})\\ & = 15000J\\ \\ \text{Heat absorbed by material} & = m × L\\ \implies 15000 & = 375 × L\\ \implies L & = \dfrac{15000}{375}\\ & = \boxed{\text{40 J/g}} \end{aligned}

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