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Graphical Comparison of Thermodynamic Processes - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:35 AM | #JEE Main

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Graphical Representation Of Work Done In Thermodynamics

1. Constant Volume Process:

Representation on P-V diagram:

This process is represented on the P-V  diagram by a vertical straight line as shown in figure, since V1=V2

Work done during the process:

\mathrm{W = \int_{V_{1}}^{V_{2}} P dv}

\text{But dv = 0 for an isochoric process}

\therefore \mathrm{W = 0}

Thus, work done during constant volume process is zero which is also evident from the P-V diagram as no area is enclosed by the vertical line on P-V diagram.

2. Constant Pressure Process:

Representation on P-V diagram:

During this process the pressure or the gas remains constant therefore it is represented by a horizontal line on P-V diagram. See figure.

Work done during the process:

\\\mathrm{W = \int_{V_{1}}^{V_{2}} P d v} \\\mathrm{But\ P\ is\ constant.} \\ {\therefore \text { Work done }=\mathrm{}P \int_{V_{1}}^{V_{2}} d v=P\left(V_{2}-V_{1}\right)

The work done by the gas during constant pressure process is represented by a rectangle on P-V diagram.

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Graphical Representation Of Work Done In Thermodynamics

Chemistry Part I Textbook for Class XI

Page No. : 165

Line : 25

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