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A cup containing 100g of pure water at 20°C is placed in a refrigerator. If…

A cup containing 100g of pure water at 20°C is placed in a refrigerator. If the refrigerator extracts heat at a rate of 840J per minute, calculate the time taken for the water to freeze. Neglect the heat capacity of the material of the cup. (Specific heat capacity of water =4.2J(g^{-1}K^{-2}))((Specific latent heat fusion of water =336J(g^{-1})
  • A.
    15minutes
  • B.
    20 minutes
  • C.
    42 minutes
  • D.
    50 minutes
  • E.
    84 minutes
Correct Answer: Option D
Explanation

H=pt =mL +mcθ ; 840t= 100×336+100×4.2×20 thus t=420000/840=50minutes