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Graphical Comparison of Thermodynamic Processes MCQ - Practice Questions with Answers

Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET

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  • 3 Questions around this concept.

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One mole of an ideal gas expands from state X to Y by three paths 1, 2 and 3 as shown in the figure below. If W1, W2 and W3 are respective work done by ideal gas along the three paths then:

What is the relation between the temperatures in the below graph which represents isothermal expansion of gas at different temperatures?

Which of the following p.V curve represents the maximum work done?

Concepts Covered - 1

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 the constant volume process is zero which is also evident from the P-V diagram as no area is enclosed by the vertical line on the 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

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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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