Carbon dioxide contained in a piston–cylinder device is compressed from 0.3 to 0.1 m3. During the process, the pressure and volume are related by P = aV–2, where a = 6.5 kPa·m6.
Calculate the work done on carbon dioxide during this process.

Explanation:

For this case we know the following info :

represent the initial volume

represent the final volume

We know that the pressure and volume are related with the following expression:

Where a is a constant given

And we need to calculate the work associated to this process.

We have a compression, and by definition the work is defined with the following general expression:

If we replace the expression for P we got:

If we integrate we got:

Using the fundamental theorem of calculus we have:

And replacing the values we got:

answer: 500 wph.

explanation:

answer:

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