A spirit lamp supplying heat at a rate of 50 W is used to melt 0.025 kg of ice at 0 °C taken in a container. If all the ice in the container is melted in 168 s…

ICSE Class 10 Physics PYQ · 2025 Improvement · Section B

9(i)Written · 2025 · Section B · 2025 Improvement

A spirit lamp supplying heat at a rate of 50 W is used to melt 0.025 kg of ice at 0 °C taken in a container. If all the ice in the container is melted in 168 s, then what is the specific latent heat of fusion of ice?

(The heat capacity of the container is negligible.)

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Given,

  • Power of spirit lamp (P) = 50 W
  • Mass of ice (m) = 0.025 kg
  • Fixed temperature (Ti) = 0 °C
  • Time Taken (t) = 168 s

Let specific latent heat of ice be Li.

Now,

Heat gained by ice (Q) = P x t = 50 x 168 = 8400 J

Also,

Li = $\frac {\text Q}{\text m} = \frac {8400}{0.025}= \frac{8400000}{25}$ = 336 x 103 J kg-1

Hence, specific latent heat of fusion of ice is 336 x 103 J kg-1.

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