Solving Bernoulli Problem with Water & Air Density

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hi

i want to check if i have done this the right way as their are two density values given.
i used bernoulli's equation for incompressable fluid flow.

V^2 = 2(p1-p2)/air density = 0.166 meters/s

is it correct to use the air density in this way even though the manamoter is filled with water ? if not how should i address the difference ?

thanks in advance.
 

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If the change in pressure of the gas is much smaller than the absolute pressure of the gas, then the gas may be considered incompressible.