In an isochoric process, carried out at constant volume, the work done by the gas is

Correct answer: B. zero

  • A. maximum
  • B. zero
  • C. equal to the heat supplied
  • D. negative

Explanation

Work in this context is pressure multiplied by change in volume, and with no volume change there is no displacement of the surroundings and therefore no work. By the first law all the heat supplied then goes into internal energy, so the temperature rise is the largest obtainable for that quantity of heat. This is exactly why Cv is smaller than Cp.

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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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