If 1000 J of heat is added to a gas and it expands doing 400 J of work, what is

Practice Questions

Q1
If 1000 J of heat is added to a gas and it expands doing 400 J of work, what is the change in internal energy? (2023)
  1. 600 J
  2. 400 J
  3. 1000 J
  4. 200 J

Questions & Step-by-Step Solutions

If 1000 J of heat is added to a gas and it expands doing 400 J of work, what is the change in internal energy? (2023)
  • Step 1: Identify the amount of heat added to the gas, which is 1000 J. This is represented as Q.
  • Step 2: Identify the amount of work done by the gas during expansion, which is 400 J. This is represented as W.
  • Step 3: Use the first law of thermodynamics formula: ΔU = Q - W, where ΔU is the change in internal energy.
  • Step 4: Substitute the values into the formula: ΔU = 1000 J - 400 J.
  • Step 5: Calculate the result: ΔU = 600 J.
  • First Law of Thermodynamics – The first law states that the change in internal energy (ΔU) of a system is equal to the heat added to the system (Q) minus the work done by the system (W).
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