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A new design of nitrogen charged accumulator, for use in a hydraulic circuit, is being factory tested for certification purposes.(http://www.accumulators.co.uk/). The following data has been collected by a technician: o Gas volume: V = 0.8 m3 o Gas pressure: p = 160 kPa o Compression index: n = 1.4 o Pressure/volume relationship: pV ⁿ = C o Work done = i. Evaluate C. ii. Calculate the work done in compressing the nitrogen from 0.8 m3 to 0.6 m3 using: o integral calculus o Simpson’s rule o the mid-ordinate rule. iii. Comment on the accuracy of the two numerical methods.
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