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A 5 kg block of metal is heated from 20°C to 100°C. If the specific heat capacit

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Question: A 5 kg block of metal is heated from 20°C to 100°C. If the specific heat capacity of the metal is 0.5 J/g°C, how much heat is required? (2023)

Options:

  1. 2000 J
  2. 2500 J
  3. 3000 J
  4. 3500 J

Correct Answer: 3000 J

Exam Year: 2023

Solution: 

Heat (Q) = m * c * ΔT = 5000 g * 0.5 J/g°C * (100°C - 20°C) = 5000 * 0.5 * 80 = 200000 J = 2000 J.

A 5 kg block of metal is heated from 20°C to 100°C. If the specific heat capacit

Practice Questions

Q1
A 5 kg block of metal is heated from 20°C to 100°C. If the specific heat capacity of the metal is 0.5 J/g°C, how much heat is required? (2023)
  1. 2000 J
  2. 2500 J
  3. 3000 J
  4. 3500 J

Questions & Step-by-Step Solutions

A 5 kg block of metal is heated from 20°C to 100°C. If the specific heat capacity of the metal is 0.5 J/g°C, how much heat is required? (2023)
Correct Answer: 200000 J
  • Step 1: Identify the mass of the metal block. The mass is given as 5 kg.
  • Step 2: Convert the mass from kilograms to grams. Since 1 kg = 1000 g, 5 kg = 5000 g.
  • Step 3: Identify the specific heat capacity of the metal. It is given as 0.5 J/g°C.
  • Step 4: Determine the initial and final temperatures. The initial temperature is 20°C and the final temperature is 100°C.
  • Step 5: Calculate the change in temperature (ΔT). ΔT = final temperature - initial temperature = 100°C - 20°C = 80°C.
  • Step 6: Use the formula for heat (Q): Q = m * c * ΔT, where m is mass, c is specific heat capacity, and ΔT is the change in temperature.
  • Step 7: Substitute the values into the formula: Q = 5000 g * 0.5 J/g°C * 80°C.
  • Step 8: Calculate the heat required: Q = 5000 * 0.5 * 80 = 200000 J.
  • Step 9: Convert the heat from joules to kilojoules if needed. Here, 200000 J = 200 kJ.
  • Specific Heat Capacity – The amount of heat required to raise the temperature of a unit mass of a substance by one degree Celsius.
  • Heat Transfer Calculation – Using the formula Q = m * c * ΔT to calculate the heat energy required for temperature change.
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