Work done in an adiabatic process depends upon:

Correct answer: B. Change in temperature

  • A. Change in pressure
  • B. Change in temperature
  • C. Change in volume
  • D. All of these options are correct

Explanation

In an adiabatic process, the system is insulated so that no heat is exchanged with the surroundings. The work done, ΔW, is related to the change in internal energy, ΔU, which depends on the change in temperature for an ideal gas. Therefore, the work done is primarily dependent on the temperature change. Option B is correct because it highlights this dependency. Options A and C are incorrect as they focus on pressure and volume changes, which are not the primary determinants of work done in an adiabatic process. Option D is incorrect because it erroneously suggests that all factors equally determine the work done, when in fact, temperature change is the key factor.

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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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