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JEE Main202225 Jun 2022Evening ShiftPhysicsThermal Properties of MatterActual

A copper block of mass 5 . 0 kg is heated to a temperature of 500 ° C and is placed on a large ice block. What is the maximum amount of ice that can melt? [Specific heat of copper : 0 . 39 Jg - 1 C ∘ - 1 and latent heat of fusion of water : 335 Jg - 1 ]

Options

  1. A1 . 5   kg
  2. B5 . 8   kg
  3. C2 . 9   kg
  4. D3 . 8   kg

Correct answer

C. 2 . 9   kg

Step-by-step solution

Given, mass of copper block m = 5   kg Change in temperature Δ t = 5 0 0 ° C Specific heat s = 0 . 39   J   ( g - ° C ) - 1 Latent heat of fusion of water L = 335   J   g - 1 Heat energy absorbed by copper block, Q 1 = ms Δ t Let m ' kg   of ice be melted. Heat energy required to melt ice, Q 2 = m ' L But heat energy absorbed by copper block is heat energy utilised by ice in melting,   Q 1 = Q 2 . ms Δ t = m ' L or m ' = ms   Δ t

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