200g of ice at 0⁰C is added to 400g water in a well lagged calorimeter of mass 40g. The initial temperature of the water was...

200g of ice at 0⁰C is added to 400g water in a well lagged calorimeter of mass 40g. The initial temperature of the water was 40⁰C. If the final temperature of the mixture is X⁰C, (Specific latent of fusion of ice L = 3.36 x 105JK/g, specific heat capacity of water, c = 4200J/kg/K, specific heat capacity of copper = 400J/kg/K)
(i) Derive an expression for the amount of heat gained by ice to melt it and raise its temperature to X⁰C
(ii) Derive an expression for the amount of heat lost by the calorimeter and its content when their temperature falls to X⁰C.
(iii) Determine the value of X.

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sharon kalunda answered the question on September 9, 2019 at 10:56

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