You hold a 338 grams of coffee in a 267 gram porcelain cup which is too hot to drink at 85°C. You want to cool it down to 50°C by adding crushed ice at 0°C. Assume that there are no heat losses to your hand or surrounding.  Specific heat of porcelain: 1000 J/kg°C Specific heat of coffee: 4186 J/kg°C Latent heat of fusion for ice: 3.33 x 10^5 J/kg How many grams of ice should you add?

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You hold a 338 grams of coffee in a 267 gram porcelain cup which is too hot to drink at 85°C. You want to cool it down to 50°C by adding crushed ice at 0°C. Assume that there are no heat losses to your hand or surrounding. 

Specific heat of porcelain: 1000 J/kg°C

Specific heat of coffee: 4186 J/kg°C

Latent heat of fusion for ice: 3.33 x 10^5 J/kg

How many grams of ice should you add? Assume that there are no heat losses to your hand or surroundings.

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