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If a gas expands and does 150 J of work while absorbing 100 J of heat, what is t

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Question: If a gas expands and does 150 J of work while absorbing 100 J of heat, what is the change in internal energy?

Options:

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

Correct Answer: -50 J

Solution:

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

If a gas expands and does 150 J of work while absorbing 100 J of heat, what is t

Practice Questions

Q1
If a gas expands and does 150 J of work while absorbing 100 J of heat, what is the change in internal energy?
  1. -50 J
  2. 50 J
  3. 250 J
  4. 100 J

Questions & Step-by-Step Solutions

If a gas expands and does 150 J of work while absorbing 100 J of heat, what is the change in internal energy?
  • Step 1: Identify the values given in the problem. The work done by the gas (W) is 150 J and the heat absorbed by the gas (Q) is 100 J.
  • Step 2: Recall the formula from the first law of thermodynamics, which states that the change in internal energy (ΔU) is equal to the heat absorbed (Q) minus the work done (W).
  • Step 3: Substitute the values into the formula: ΔU = Q - W = 100 J - 150 J.
  • Step 4: Perform the calculation: 100 J - 150 J equals -50 J.
  • Step 5: Conclude that the change in internal energy (ΔU) is -50 J.
  • First Law of Thermodynamics – The principle 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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