A copper block of mass 5 . 0   kg is heated to a temperature of 500 ° C and is placed on a large…

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 : 0.39Jg-1C∘-1 and latent heat of fusion of water : 335 Jg-1]
  1. 1.5 kg
  2. 5.8 kg
  3. 2.9 kg
  4. 3.8 kg

Solution

Given, mass of copper block m=5 kg

Change in temperature Δt=500°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, Q1=msΔt

Let m' kg of ice be melted.

Heat energy required to melt ice, Q2=m'L

But heat energy absorbed by copper block is heat energy utilised by ice in melting, Q1=Q2.
  msΔt=m'L
or  m'=ms ΔtL =5×0.39×500335=2.9 kg

Asked in: JEE Main 2022 (25 Jun Shift 2)

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