derive the formula of latent heat of fusion of ice by mixture method.

Hi Krestia!
Method of mixtures is a way of determining the heat of fusion of a substance whose specific heat is known. In this method, a known amount of the solid is combined with a known amount of the liquid in a calorimeter, and the decrease in the liquid temperature during melting of the solid is measured.
To determine the latent heat of fusion of ice, a known amount of ice is added to a known amount of water in a calorimeter. The heat energy lost by the water and the calorimeter is used for melting the ice and warming up the molten water to the final temperature (equilibrium temperature).
That is, Heat lost =Heat gained
Heat lost by warm water = heat needed to melt ice + heat needed to warm water (which was once ice)
Where,
Mw = mass of warm water initially in calorimeter
Mice = mass of ice and water from melting
Cw = specific heat of water
Lf = heat of fusion of ice
Tw = initial temperature water
Tf = equilibrium temperature of mixture

Hope it helps you!
Cheers!!

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