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Mechanical Properties Of Fluids

Question
CBSEENPH11019615

How much quantity of water at 20°C is required to just melt 800gm of ice at –12°C?

The specific heat of ice is 0.5cal/gm/K.  

Solution

Let m be the mass of water required to just melt the ice.
By law of calorimetry,
Heat lost by water = Heat gained by  ice
Therefore, 
  m x l x 20 = 800 x 0.5 x 12 +800 x 80
rightwards double arrow      20m = 68800
rightwards double arrow         m  = 3440gm
                  = 3.44 kg