- #1

Dylan.Wallett

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## Homework Statement

In the figure attached the pressure at A and B are the same 100 kPa. If water is introduced at A to increase p_A to 130 kPa find the new positions of the mercury menisci. The connecting tube has a diameter of 10 mm. Assume no change in Liquid density.

## Homework Equations

P

_{A}- P

_{B}= ρ

_{merc}g (Δ L) sin σ

## The Attempt at a Solution

30 000 = (13600)(9.81) (Δ L) (0.26)

ΔL = 0.868

h = 0.225 m

Intuitively this answer should be wrong because if there is an increase in pressure at A it should transfer through out the system to create an equilibrium. There would be no change in the mercury menisci if the air did not compress.

I think I need to work out a change in air density to get the correct answer. I am also not sure why they mentioned the diameter of the connecting tube.

Would you mind helping me get on the correct track.

Thank you