# Pressure Study - System Interaction

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Phase 1

Initially ALL Valves A, B, C, D, E and F are closed.

ALL Tanks A, B, C, D, E are separated and each sealed from the atmosphere.

Tank E initially has 3' of air @ 40 psi

Tank C and Tank B initially contain air @ 32.476 psi

Pipe K is 12" id; initial air pressure is 32.476 psi

Phase 2

Valve D is opened 1st

Valve F is opened 2nd

Valve E,A and B is opened 3rd

Valve C remains closed.

1. What happens to the air in Tank C?

2. What happens to the air in Tank E?

3. How does the air and water change in Tank A?

4. What changes in Tank B? Does air or water move between Tube B section F and G?

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##### Solution Summary

The pressure system study and system interactions are examined.

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See attachment.

Phase 1

Phase 1

Initially ALL Valves A, B, C, D, E and F are closed.

ALL Tanks A, B, C, D, E are separated and each sealed from the atmosphere.

Tank E initially has 3' of air @ 40 psi

Tank C and Tank B initially contain air @ 32.476 psi

Pipe K is 12" id; initial air pressure is 32.476 psi

Phase 2

Valve D is opened 1st

Valve F is opened 2nd

Valve E,A and B is opened 3rd

Valve C remains closed.

1. What happens to the air in Tank C?

2. What happens to the air in Tank E?

3. How does the air and water change in Tank A?

4. What changes in Tank B? Does air or water move between Tube B section F and G?

Solution:

1. (a) (valve D opens)

At the level of valve D, the height of the water in the tank D is .

It follows that the hydrostatic pressure at the level of valve D given by the water column in the tank D will be:

( 1)

where = density of water, = 1000 kg/m3

g = gravitational acceleration, g = 9.81 m/s2

Replacing in (1), one yields:

( 2)

The pressure of the air volume in the tank B is given by the problem statement and has the value:

( 3)

Since the pressures inside the tanks B and D are the same, ...

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