If a gas expands and does 50 J of work while absorbing 30 J of heat, what is the

Practice Questions

Q1
If a gas expands and does 50 J of work while absorbing 30 J of heat, what is the change in internal energy?
  1. -20 J
  2. 20 J
  3. 80 J
  4. 30 J

Questions & Step-by-Step Solutions

If a gas expands and does 50 J of work while absorbing 30 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 50 J, and the heat absorbed by the gas (Q) is 30 J.
  • Step 2: Recall the formula from the First Law of Thermodynamics, which is ΔU = Q - W. This formula helps us find the change in internal energy (ΔU).
  • Step 3: Substitute the values into the formula. Here, Q is 30 J and W is 50 J, so we write ΔU = 30 J - 50 J.
  • Step 4: Perform the calculation. 30 J - 50 J equals -20 J.
  • Step 5: Conclude that the change in internal energy (ΔU) is -20 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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