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An ice sample at initial temperature Ti (in °C) below zero is introduced into an aluminum...

An ice sample at initial temperature Ti (in °C) below zero is introduced into an aluminum calorimeter of mass ma filled with mass mw of water at room temperature of Tr. After thermal equilibrium is reached, the calorimeter contains only water at final temperature Tf. Denoting the specific heat constants for ice, water, and aluminum by ci, cw, and ca respectively, find an algebraic expression for the mass of the ice sample in terms of the given variables and L, the latent heat of fusion of water.

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