A 2 kg object is heated from 20°C to 80°C. If the specific heat capacity is 0.5

Practice Questions

Q1
A 2 kg object is heated from 20°C to 80°C. If the specific heat capacity is 0.5 kJ/kg°C, how much heat is absorbed? (2023)
  1. 30 kJ
  2. 40 kJ
  3. 20 kJ
  4. 10 kJ

Questions & Step-by-Step Solutions

A 2 kg object is heated from 20°C to 80°C. If the specific heat capacity is 0.5 kJ/kg°C, how much heat is absorbed? (2023)
  • Step 1: Identify the mass of the object (m). In this case, m = 2 kg.
  • Step 2: Identify the specific heat capacity (c). Here, c = 0.5 kJ/kg°C.
  • Step 3: Determine the initial temperature (T1) and final temperature (T2). T1 = 20°C and T2 = 80°C.
  • Step 4: Calculate the change in temperature (ΔT) using the formula ΔT = T2 - T1. So, ΔT = 80°C - 20°C = 60°C.
  • Step 5: Use the formula for heat absorbed (Q): Q = mcΔT.
  • Step 6: Substitute the values into the formula: Q = 2 kg * 0.5 kJ/kg°C * 60°C.
  • Step 7: Calculate the result: Q = 2 * 0.5 * 60 = 60 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 = mcΔT to calculate the heat absorbed or released during a temperature change.
  • Unit Conversion – Understanding the units involved, particularly ensuring consistency between kJ and J if necessary.
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