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Reviewed CSCA Physics question · Standard

A gas in a cylinder absorbs 900 J of heat from its surroundings while the gas expands and does 350 J of work on the piston. What is the change in internal energy of the gas?

  1. -1250 J
  2. -550 J
  3. 550 J
  4. 1250 J
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Correct answer

C. 550 J

Principle or equation

The first law of thermodynamics: ΔU = Q - W, where Q is heat added to the system and W is work done by the system.

Why this answer is correct

Here Q = +900 J (heat absorbed) and W = +350 J (work done by the gas). Thus ΔU = 900 J - 350 J = 550 J.

Example

If a gas absorbs 500 J and does 200 J of work, its internal energy increases by 300 J.

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