In a process where 300 J of heat is added to a system and the internal energy in

Practice Questions

Q1
In a process where 300 J of heat is added to a system and the internal energy increases by 100 J, how much work is done by the system?
  1. 200 J
  2. 100 J
  3. 300 J
  4. 400 J

Questions & Step-by-Step Solutions

In a process where 300 J of heat is added to a system and the internal energy increases by 100 J, how much work is done by the system?
Correct Answer: 200 J
  • Step 1: Identify the amount of heat added to the system, which is 300 J. This is represented as Q.
  • Step 2: Identify the increase in internal energy of the system, which is 100 J. This is represented as ΔU.
  • Step 3: Use the first law of thermodynamics formula: ΔU = Q - W, where W is the work done by the system.
  • Step 4: Rearrange the formula to solve for W: W = Q - ΔU.
  • Step 5: Substitute the values into the rearranged formula: W = 300 J - 100 J.
  • Step 6: Calculate the work done by the system: W = 200 J.
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