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Measured data for pressure versus volume during the expansion of gases within the cylinder of an internal combustion engine are given in the table below.

Data Point p (bar) V (cubic cm)

1 15 300

2 12 361

3 9 459

4 6 644

5 4 903

6 2 1608

A) Determine a value of n such that the data are fit by an equation of the form p*(V^n)=constant

I got n=1.205559 and constant=14534.734

So p=14534.734/(V^1.205559)

B) Evaluate analytically the work done by the gases, in KJ.

I integrated 14534.734/(V^1.205559) with respect to V and evaluated with limits of 300 and 1608 (smallest and largest values for volume). I got 6389.453

*Question: What units should this be in? I know it's not in KJ, as the original data is in bars and cubic centimeters. How and where do I convert to get an answer in kJ?

Any help would be greatly appreciated!

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# Units on thermo problem

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