A 2 kg piece of copper (specific heat = 0.385 J/g°C) is heated from 25°C to 75°C

Practice Questions

Q1
A 2 kg piece of copper (specific heat = 0.385 J/g°C) is heated from 25°C to 75°C. How much heat is absorbed? (2022)
  1. 2000 J
  2. 3000 J
  3. 4000 J
  4. 5000 J

Questions & Step-by-Step Solutions

A 2 kg piece of copper (specific heat = 0.385 J/g°C) is heated from 25°C to 75°C. How much heat is absorbed? (2022)
  • Step 1: Identify the mass of the copper piece. It is given as 2 kg. Convert this to grams because the specific heat is in J/g°C. 2 kg = 2000 g.
  • Step 2: Identify the specific heat of copper. It is given as 0.385 J/g°C.
  • Step 3: Determine the initial temperature (T1) and final temperature (T2). T1 is 25°C and T2 is 75°C.
  • Step 4: Calculate the change in temperature (ΔT) using the formula ΔT = T2 - T1. So, ΔT = 75°C - 25°C = 50°C.
  • Step 5: Use the formula for heat absorbed (Q): Q = mcΔT. Substitute the values: Q = 2000 g * 0.385 J/g°C * 50°C.
  • Step 6: Perform the multiplication: Q = 2000 * 0.385 * 50 = 38500 J.
  • 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 = mcΔT to calculate the heat absorbed or released during a temperature change.
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