A thermodynamic system goes from States (i) P, V to 2 P, V (ii) P, V to P, 2 V. Then what is wo

step 1 Hello friends in the question it is given that a thermodynamic system goes from state pv to 2p v

A thermodynamic system goes from States (i) P, V to 2 P, V...

A thermodynamic system goes from States (i) $\mathrm{P}, \mathrm{V}$ to $2 \mathrm{P}, \mathrm{V}$
(ii) $\mathrm{P}, \mathrm{V}$ to $\mathrm{P}, 2 \mathrm{~V}$. Then what is work done in the two Cases.
(A) Zero, PV
(B) Zero, Zero
(C) PV, Zero
(D) PV, PV

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Key Concepts

Thermodynamic Work

Thermodynamic work is the energy transferred by a system in which a force is applied over a displacement, often expressed as the integral of pressure with respect to volume change. The work done depends on the particular path taken by the system from its initial to final state, making it a path-dependent quantity.

Constant Pressure Process

In a constant pressure process, the work done by or on the system is calculated by multiplying the constant pressure by the change in volume (W = P ?V). This type of process is exemplified by expansions or compressions where the pressure remains fixed during the change in volume.

Constant Volume Process

In a constant volume process, the volume does not change (?V = 0), so the work done by or on the system is zero. This highlights that, regardless of changes in other state variables like pressure, no mechanical work is performed if the volume remains constant.

State Variables and Path Dependency

State variables such as pressure and volume describe the conditions of a thermodynamic system at a particular moment, but the work done during a process depends on the path between these states. Different processes connecting the same initial and final states can result in different amounts of work performed.

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