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What is the heat required to raise the temperature of 2 kg of aluminum from 25°C

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Question: What is the heat required to raise the temperature of 2 kg of aluminum from 25°C to 75°C? (Specific heat of aluminum = 0.9 J/g°C) (2022)

Options:

  1. 9000 J
  2. 18000 J
  3. 36000 J
  4. 4500 J

Correct Answer: 18000 J

Solution: 

Heat required Q = mcΔT = (2000 g)(0.9 J/g°C)(50°C) = 90000 J.

What is the heat required to raise the temperature of 2 kg of aluminum from 25°C

Practice Questions

Q1
What is the heat required to raise the temperature of 2 kg of aluminum from 25°C to 75°C? (Specific heat of aluminum = 0.9 J/g°C) (2022)
  1. 9000 J
  2. 18000 J
  3. 36000 J
  4. 4500 J

Questions & Step-by-Step Solutions

What is the heat required to raise the temperature of 2 kg of aluminum from 25°C to 75°C? (Specific heat of aluminum = 0.9 J/g°C) (2022)
  • Step 1: Identify the mass of aluminum. The problem states it is 2 kg. Convert this to grams because the specific heat is given in J/g°C. 2 kg = 2000 g.
  • Step 2: Identify the specific heat of aluminum. The problem states it is 0.9 J/g°C.
  • Step 3: Determine the initial and final temperatures. The initial temperature is 25°C and the final temperature is 75°C.
  • Step 4: Calculate the change in temperature (ΔT). ΔT = final temperature - initial temperature = 75°C - 25°C = 50°C.
  • Step 5: Use the formula for heat required (Q). The formula is Q = mcΔT, where m is mass, c is specific heat, and ΔT is the change in temperature.
  • Step 6: Substitute the values into the formula: Q = (2000 g)(0.9 J/g°C)(50°C).
  • Step 7: Calculate the heat required: Q = 2000 * 0.9 * 50 = 90000 J.
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