A copper block of mass 2.5 kg is heated in a furnace to a temperature of 500°C and then placed on a large ice block. The maximum amount of ice that can be melt, will be :

Given :

Specific heat of copper = 0.4 Jg−1 °C−1

Heat of fusion of water = 400 Jg−1

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  1. 1.25 kg 
  2. 1.50 kg 
  3. 1.75 kg
  4. 1.80 kg

Answer (Detailed Solution Below)

Option 1 : 1.25 kg 
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Detailed Solution

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Concept:

When copper block after getting heated by a furnace is kept in a block of ice, the heat is liberated by copper block and recieved by block of ice i.e.

Heat lost by copper block = Heat gain by ice

Calculation:

Given:

mc = mass of copper block = 2.5 kg, tc = 500°C, Ccopper = 0.4 Jg−1°C−1

L = heat of fusion of water = 400 Jg−1

Heat lost by copper block = Heat gain by ice

mcCcoppertc = miceL

2.5 × 0.4 × 500 = mice × 400

mice = 1.25 kg

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