Two mercury manometers, one open-end and the other sealed-end, are attached to an air duct. the reading on the open-end manometer is 25 [mm] and that on the sealed-end manometer is 800 [mm]. determine the absolute pressure in the duct, the gauge pressure in the duct, and the atmospheric pressure, all in (mm hg).

Pressure in duct = 799.75 mmHg

Atmospheric pressure = 774.75 mmHg

Gauge pressure = 24.99 mmHg

Explanation:

First of all, it is needed to set a pressure balance (taking in account that diameter of manometer is constant) in the interface between the air of the duct and the fluid mercury.

From the balance in the sealed-end manometer, we have the pressure of air duct as:

We have that ρ is density of mercury and g is the gravity

So, replace in the equation:

Transforming from Pa to mmHg

From the balance in the open-end manometer, we have the pressure of air duct as:

Isolate :

Calculating:

Finally, gauge pressure is the difference between duct pressure and atmospheric pressure, so:

End.

answer

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b is the correct