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Assertion (A): Thermodynamic work is path-dependent except for an adiabatic process.
Reason(R): It is always possible to take a system from a given initial state to any final state by performing adiabatic work only.
  • a)
    Both A and R are individually true and R is the correct explanation of A
  • b)
    Both A and R are individually true but R is NOT the correct explanation of A
  • c)
    A is true but R is false
  • d)
    A is false but R is true
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Assertion (A): Thermodynamic work is path-dependent except for an adia...
It is not possible to take a system from a given initial state to any final state by performing adiabatic work only.
The assertion is true since in an adiabatic process heat transfer is zero and work is equal to change in internal energy.
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Assertion (A): Thermodynamic work is path-dependent except for an adia...
Thermodynamic Work and Adiabatic Process

Assertion (A): Thermodynamic work is path-dependent except for an adiabatic process.

Reason (R): It is always possible to take a system from a given initial state to any final state by performing adiabatic work only.

Explanation:

Thermodynamic Work:

Thermodynamic work is defined as the energy transfer that occurs as a result of a force acting through a distance. It is given by the product of force and displacement in the direction of the force.

W = F x d

Where,
W = Work done
F = Force
d = Displacement

Path-dependent Work:

Thermodynamic work is path-dependent because it depends on the path taken by the system between the initial and final states. The work done depends on the pressure, volume, and temperature of the system at each point along the path.

Adiabatic Process:

An adiabatic process is a thermodynamic process in which there is no heat transfer between the system and its surroundings. In an adiabatic process, the system is thermally insulated, and all the energy transfer occurs as work.

Path-independent Adiabatic Process:

For an adiabatic process, the work done is path-independent. This is because the adiabatic process follows a particular path on the pressure-volume diagram called the adiabatic curve. The work done in an adiabatic process depends only on the initial and final states of the system, and not on the path taken between them.

Conclusion:

From the above explanation, it is clear that Assertion (A) is true because thermodynamic work is path-dependent except for an adiabatic process. However, Reason (R) is false because it is not always possible to take a system from a given initial state to any final state by performing adiabatic work only. Therefore, the correct option is (C) A is true, but R is false.
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Community Answer
Assertion (A): Thermodynamic work is path-dependent except for an adia...
A is false. Heat and work are both boundary phenomenon. They are independent of path irrespective of any process. During adiabatic process, dU = - del W. It is just a mathematical relation only, ehich doesn't tell about dependency on path.
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Assertion (A): Thermodynamic work is path-dependent except for an adiabatic process.Reason(R): It is always possible to take a system from a given initial state to any final state by performing adiabatic work only.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. Can you explain this answer?
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