Assertion (A) : Thermodynamic work is pathdependent except for an adia...
Thermodynamic Work and its Path Dependence
Thermodynamic work is the amount of energy transferred to or from a system due to the application of a force over a distance. It is an important concept in thermodynamics, which deals with the study of the relationships between heat, energy, and work.
Path dependence refers to the fact that the amount of work done by or on a system depends on the path taken to get from the initial state to the final state. In other words, different paths can result in different amounts of work being done.
Adiabatic Process and its Significance
An adiabatic process is a process in which there is no heat transfer between the system and its surroundings. This means that all the work done on or by the system is due to changes in its internal energy.
The significance of an adiabatic process is that the amount of work done is independent of the path taken. This is because in an adiabatic process, there is no heat flow, so the work done is solely due to changes in the internal energy of the system.
Assertion and Reason
Assertion: Thermodynamic work is path-dependent except for an adiabatic process.
Reason: It is always possible to take a system from a given initial state to any final state by performing adiabatic work only.
The assertion is false because it is possible for work to be path-independent in certain cases other than adiabatic processes. For example, if the system is at constant pressure, the work done is given by the formula W = PΔV, where P is the constant pressure and ΔV is the change in volume. In this case, the work done is independent of the path taken.
The reason is also false because it only applies to adiabatic processes and not to all cases where work is path-independent.
Therefore, the correct answer is D, where the assertion is false, and the reason is true but not the correct explanation of the assertion.
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