Find the increase in entropy of 1.00 kg of ice that is originally at 0°C and melts to form water at 0°C.

  1. 1.22 × 10JK-1
  2. 1.22 × 10-3 K-1
  3. 1.42 × 10-3 JK-1
  4. 1.22 × 10-2 JK-1

Answer (Detailed Solution Below)

Option 1 : 1.22 × 10JK-1
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CONCEPT:

  • Entropy is a property of thermodynamics that is associate with the state of disorder, randomness, or uncertainty

Entropy is given by:

  (ΔQ is change in entropy by a change in temperature)

EXPLANATION:

Here, Q is the heat necessary to melt 1.00 kg of ice and is given by

( m is mass and Lf is the latent heat of fusion

Latent heat of fusion of water is (334 kJ/kg)

hence we know that  on putting the value we get 

 = 1.22 × 103 JK-1

Additional Information

  • Latent Heat of Fusion is the amount of heat required to change 1 g of a substance at the temperature of its melting point from the solid to the liquid state without changing temperature. 
    • Latent heat of fusion of water is taken as (334 kJ/kg)

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