JEE Physics · Hard

Elasticity, Thermal Expansion, Calorimetry and Heat Transfer: Calorimetry Principle MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Calorimetry PrincipleHardQuestion 30851

Question

10 g of ice at 0°C is mixed with 10 g of water at 100°C. Final state is (L_ice = 336 J/g, c_water = 4.2 J/g·°C):
  1. A
    All water at 10°C
    Correct
  2. B
    All water at 0°C
  3. C
    Ice and water at 0°C
  4. D
    All water at about 62°C

Correct answer

All water at 10°C

Explanation

The hot water releases 4200 J on cooling to 0°C. Melting the ice uses 3360 J, leaving 840 J to heat 20 g of water. Thus ΔT=840/(20×4.2)=10°CΔT=840/(20×4.2)=10°C, so the final state is all water at 10°C.