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We consider a thermodynamic system. If ∆U represents the increase in its internal energy and W the work done by the system, which of the following statements is true
  • a)
    ∆U = -W in an adiabatic process
  • b)
    ∆U = W in an isothermal process
  • c)
    ∆U = -W in an isothermal process
  • d)
    ∆U = W in an adiabatic process
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
We consider a thermodynamic system. If ∆U represents the increas...
Explanation: In an adiabatic process,
∆Q=0
∆U=∆Q-∆W=0-W=-W.
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Most Upvoted Answer
We consider a thermodynamic system. If ∆U represents the increas...
Adiabatic Process and Work Done

Adiabatic Process:
An adiabatic process is a thermodynamic process in which no heat exchange takes place between the system and its surroundings. In other words, the system is thermally insulated from the surroundings.

Work Done:
Work done by a system is defined as the energy transferred to or from the system as a result of a force acting on it.

U = -W in an adiabatic process:
In an adiabatic process, there is no heat exchange between the system and the surroundings. Therefore, the change in internal energy of the system is solely due to the work done on or by the system. According to the first law of thermodynamics, the change in internal energy of a system is equal to the heat added to the system minus the work done by the system. In an adiabatic process, there is no heat added to the system. Hence,

U = -W

This means that the work done by the system is equal to the decrease in its internal energy.

Therefore, option 'A' is the correct answer.
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We consider a thermodynamic system. If ∆U represents the increase in its internal energy and W the work done by the system, which of the following statements is truea)∆U = -W in an adiabatic processb)∆U = W in an isothermal processc)∆U = -W in an isothermal processd)∆U = W in an adiabatic processCorrect answer is option 'A'. Can you explain this answer?
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