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If a system does 150 J of work on the surroundings and absorbs 100 J of heat, wh

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Question: If a system does 150 J of work on the surroundings and absorbs 100 J of heat, what is the change in internal energy?

Options:

  1. -50 J
  2. 50 J
  3. 100 J
  4. 250 J

Correct Answer: -50 J

Solution:

Using the first law, ΔU = Q - W = 100 J - 150 J = -50 J.

If a system does 150 J of work on the surroundings and absorbs 100 J of heat, wh

Practice Questions

Q1
If a system does 150 J of work on the surroundings and absorbs 100 J of heat, what is the change in internal energy?
  1. -50 J
  2. 50 J
  3. 100 J
  4. 250 J

Questions & Step-by-Step Solutions

If a system does 150 J of work on the surroundings and absorbs 100 J of heat, what is the change in internal energy?
  • Step 1: Identify the work done by the system on the surroundings. In this case, it is 150 J.
  • Step 2: Identify the heat absorbed by the system. Here, it is 100 J.
  • Step 3: Recall the formula for the change in internal energy (ΔU) which is ΔU = Q - W.
  • Step 4: Substitute the values into the formula. Q (heat absorbed) is 100 J and W (work done) is 150 J.
  • Step 5: Calculate ΔU: ΔU = 100 J - 150 J.
  • Step 6: Perform the subtraction: 100 J - 150 J = -50 J.
  • Step 7: Conclude that the change in internal energy (ΔU) is -50 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 on the surroundings (W).
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