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ExamsJEE AdvancedPhysics

1 kg of ice at 0 C is mixed with 1 kg of steam at 100 C. Determine the final composition of the mixture at thermal equilibrium. (Latent heat of fusion of ice = 3.36 x 10⁵ J/kg, latent heat of vaporization of water = 2.26 x 10⁶ J/kg, specific heat of water = 4186 J/kg/C.)

  1. 2000 g water
  2. 665 g steam and 1335 g water
  3. 665 g ice and 1335 g water
  4. 2000 g steam

Correct answer: 665 g steam and 1335 g water

Solution

About 0.335 kg of steam condenses to provide the heat that melts the ice and warms it to 100 C, leaving roughly 665 g of steam and 1335 g of water.

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