What is the latent heat of fusion if 2000 J of heat is required to melt 500 g of

Practice Questions

Q1
What is the latent heat of fusion if 2000 J of heat is required to melt 500 g of ice? (2022)
  1. 2000 J/kg
  2. 4000 J/kg
  3. 1000 J/kg
  4. 3000 J/kg

Questions & Step-by-Step Solutions

What is the latent heat of fusion if 2000 J of heat is required to melt 500 g of ice? (2022)
  • Step 1: Understand the problem. We need to find the latent heat of fusion, which is the amount of heat needed to melt a substance without changing its temperature.
  • Step 2: Identify the given values. We have 2000 J of heat (Q) and 500 g of ice (mass, m).
  • Step 3: Convert the mass from grams to kilograms because the standard unit for mass in this calculation is kilograms. 500 g = 0.5 kg.
  • Step 4: Use the formula for latent heat of fusion: L = Q / m.
  • Step 5: Substitute the values into the formula. L = 2000 J / 0.5 kg.
  • Step 6: Calculate the result. 2000 J divided by 0.5 kg equals 4000 J/kg.
  • Step 7: Conclude that the latent heat of fusion is 4000 J/kg.
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