How Accurate Can Static Pressure Measurement Be?

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I wondered how you can measure (static) pressure, with an as high as possible accuracy. Could you share your experience about which sensor and setup you already used?

I would like to measure the static pressure before and after a fan with an accuracy of 10[Pa]. Do you think this is possible?
 
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Do you mean 1 part in 10,000 of atmospheric pressure? Why the precision?
 
If you are trying to measure the DP across the fan you might manage it with an inclined manometer.
 
Yes I mean 1/10000 of atmospheric pressure, the accuracy is needed to determine the flow from a fan curve.