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ICSE Class 10 Physics 2018 Paper

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Question : 32 of 78
Marks: +1, -0
A solid metal weighing 150 g150\ \text{g} melts at its melting point of 800∘ C800^{\circ}\ \text{C} by providing heat at the rate of 100 W100\ \text{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?
Solution:  
Given : m=150 g, P=100 Wm=150\ \text{g},\ P=100\ \text{W} , time =4 min=4\ \text{min} =4×60=240 s=4 \times 60=240\ \text{s}
Heat energy required to melt the metal = Electrical Energy supplied.
or mL  =P×tm L\; = P \times t
or L  =P×tm=100×240150 J/gL\; = \frac{P \times t}{m} = \frac{100 \times 240}{150}\ \text{J}/\text{g}
  =160 J/g\; = 160\ \text{J}/\text{g}
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