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Calorimetry initial mass of ice

Steam at 100°C is passed into a calorimeter of mass 55g, containing 150g of a mixture of ice and water, until all the ice just melted. The mass of the calorimeter and it's contents is then found to be 217.5g. How much ice was originally present in the mixture? Given that latent heat of fusion of ice is 336000J/kg, Latent heat of vaporization is 2270000J/kg and specific heat capacity of water is 4180J/kg

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