Moderate

A Fixed mass of an ideal gas absorbs 1000 J of heat and expands under a constant pressure of 20 kPa from a volume of 25 x 10^-3 m3 to a volume of 50 x 10^-3 m3 . What is the change in internal energy of the gas?

Correct answer: D. +500 J

  • A. +1000 J
  • B. +5000 J
  • C. 0J
  • D. +500 J

Explanation

W = PΔVΔV = V2 - V1ΔV = 50 * 10-3 - 25 * 10-3 ΔV = 25 * 10-3 W = 20,000 * 25 * 10-3 W = 500 JCalculate the change in internal energy. ΔU = Q - W ΔU = 1000 J - 500 J ΔU = 500 J

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About First Law of Thermodynamics

The first law relates heat supplied, work done and the change in internal energy through energy conservation. Problems use sign conventions and apply the law to isothermal, adiabatic, isobaric and isochoric processes. Internal energy is a state function, while heat and work depend on the path followed.

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