In: Physics
An ice cube of mass 0.029 kg and temperature -13 ∘C is dropped into a styrofoam cup containing water of mass 0.4 kg and temperature 20 ∘C. Calculate the final temperature in degrees celcius and give your answer to one decimal place. (For simplicity, we ignore here the temperature change of the cup.)
The specific heat of ice is 2200 J/kg ∘C and the specific heat of water is 4186 J/kg ∘C. The latent heat of fusion of ice is 334000 J/kg ∘C.
Concept - The heat required by ice to get to the final temperature will be equal to heat lost by water when it loses energy while going to lower temperature. We use this to find the final temperature as shown below
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