Work & PV Diagrams Video Lessons

Concept

# Problem: How much work is done on the gas in the process shown in the figure?

###### FREE Expert Solution

Work done ON a gas:

$\overline{){\mathbit{W}}{\mathbf{=}}{\mathbf{-}}{\mathbit{P}}{\mathbf{·}}{\mathbf{∆}}{\mathbit{V}}}$

$\overline{){\mathbf{1}}{\mathbf{Pa}}{\mathbf{=}}{\mathbf{1}}{\mathbf{N}}{\mathbf{/}}{{\mathbf{m}}}^{{\mathbf{2}}}}$

For an expansion work done is negative while for compression work done is positive.

The change in volume form i to f represents an expansion. Thus, the work done is negative.

To get the magnitude of the work done we'll sum the area of the shapes (rectangle and triangle) under the curve.

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###### Problem Details

How much work is done on the gas in the process shown in the figure?