I looked at your spread sheet and it looks like you are integrating the pressure. The problem asks you to integrate "V dP".
Also, please remove the link to a commercial site or this thread will be deleted.
I recently post/ed this question but did not finish it. Would you please tell me what I have to do next,
Question:
A new design of nitrogen charged accumulator, for use in a hydraulic circuit, (Hydropneumatic Accumulators - HydroTrole Limited) is being factory tested for certification purposes.
The following data has been collected by a technician:
- Gas volume: V = 0.8 m^{3}
- Gas pressure: p = 160 kPa
- Compression index: n = 1.4
- Pressure/volume relationship: pV^{n} = C
- Work done = Integral sign top( V2) bottom= V1 pdV
You first need to work out C, the value of the pressure/volume relationship.
Calculate the work done in compressing the nitrogen from 0.8 m^{3} to 0.6 m^{3} using:
- integral calculus
- Simpson’s rule
Comment on the accuracy of the numerical method.
Note: if you wish, you may use a spreadsheet for the numerical method.
Update
Edited out the answer:
THANKS
That is correct sir. I have already completed this work before but forget it. How would I be able to calculate the integral calculus. I know the answer is 39026.4552