A thermodynamic system is taken from state A to B along ACB and is brought back to A along BDA a

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A thermodynamic system is taken from state A to B along ACB...

A thermodynamic system is taken from state $\mathrm{A}$ to $\mathrm{B}$ along $\mathrm{ACB}$ and is brought back to $\mathrm{A}$ along $\mathrm{BDA}$ as Shown in the $\mathrm{P} \rightarrow \mathrm{V}$ diagram. The net work done during the complete cycle is given by the area. (A) $\mathrm{P}_{1} \mathrm{ACBP}_{2} \mathrm{P}_{1}$ (B) $\mathrm{ACBDA}$ (C) $\mathrm{ACBB}^{1} \mathrm{~A}^{1}$ (D) $\mathrm{ADBB}^{1} \mathrm{~A}^{1} \mathrm{~A}$

A thermodynamic system is taken from state $\mathrm{A}$ to $\mathrm{B}$ along $\mathrm{ACB}$ and is brought back to $\mathrm{A}$ along $\mathrm{BDA}$ as Shown in the $\mathrm{P} \rightarrow \mathrm{V}$ diagram. The net work done during the complete cycle is given by the area.
(A) $\mathrm{P}_{1} \mathrm{ACBP}_{2} \mathrm{P}_{1}$
(B) $\mathrm{ACBDA}$
(C) $\mathrm{ACBB}^{1} \mathrm{~A}^{1}$
(D) $\mathrm{ADBB}^{1} \mathrm{~A}^{1} \mathrm{~A}$

Key Concepts

Thermodynamic Cycle

A thermodynamic cycle is a sequence of processes that begins and ends at the same state, meaning the system returns to its original state. In studying cycles, the internal energy's net change over one complete cycle is zero, and any energy added or removed from the system shows up as work done or heat transfer.

Pressure-Volume (P–V) Diagram

The P–V diagram is a graphical representation of the relationship between pressure and volume for a system undergoing thermodynamic processes. It is used to visualize how the state of the system changes over a process or cycle, with distinct curves corresponding to different paths.

Work Done in a Thermodynamic Process

Work done by the system during a process is defined as the integral of pressure with respect to volume (W = ?P dV). On a P–V diagram, this work is represented by the area under the process curve. For cyclic processes, where the system goes through a closed loop on the diagram, the net work is the area enclosed by the cycle.

Enclosed Area Representation

In the context of a cyclic process on a P–V diagram, the net work done by the system over one cycle is visually represented by the area enclosed by the path of the cycle. The magnitude of this area corresponds to the total work performed, with the sign depending on the direction of the cycle (clockwise or anticlockwise).

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