Some ice, at its melting point, is added to m kg of water at an initial temperature of 290 K, c is the specific heat capacity of water and L is the latent heat of fusion of ice. The ice melts completely. The final temperature of the water is "273 K". What is the minimum mass of ice that is required?
Correct answer: A. 17 mc/L
- A. 17 mc/L
- B. L/17 mc
- C. 17 m/Lc
- D. 290 m/Lc
Explanation
For Specific heat capacity, use the formula Q = mcΔT.And for the latent heat of fusion of ice, use the formula Q = ML.The heat that is taken by the ice for it to melt is equal to the heat lost by the water.Energy gained by ice = energy lost by the water.ML = mcΔT.ML = mc(290K - 273K).ML = mc x 17.Then we divide through by L.M = 17 mc/L.Please note that the 273K that we have used in this solution is the temperature at which water freezes.Therefore the minimum mass of required ice is = "17 mc/L".
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