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Answer to Question #88744 in Quantitative Methods for Saasay
Question #88744
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.
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.
Expert's answer
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Dear Saasy, please use the panel for submitting questions.
A new design of nitrogen charged accumulator, for use in a hydraulic circuit, is being factory tested for certification purposes.(https://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 =mid-oridnate rule
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