A manometer is used to measure the air pressure in a tank. The fluid used has a specific gravity of 1.25, and the differential height between the two arms of the manometer is 28 in. If the local atmospheric pressure is 12.7 psia, determine the absolute pressure in the tank for the cases of the manometer arm with the (a) higher and (b) lower fluid level being attached to the tank.
(a)
The absolute pressure in the tank for the cases of manometer.
The absolute pressure in the tank for cases of the manometer arm with the higher.
Answer to Problem 64P
The absolute pressure in the tank for the cases of manometer is
The absolute pressure in the tank for cases of the manometer arm with the higher is
Explanation of Solution
Determine the density of fluid.
Here, the specific gravity of the fluid is
Write the expression for pressure difference in cases of the manometer arm.
Here, the density of the fluid is
Write the expression for the absolute pressure in the tank for cases of the manometer arm with the higher.
Here, the local atmospheric pressure is
Conclusion:
From the Table A-3E (a) “Properties of common liquids, solids, and foods” to obtain the value for density of water as
Substitute
Substitute
Substitute
Thus, the absolute pressure in the tank for cases of the manometer arm with the higher is
(b)
The absolute pressure in the tank for cases of the manometer arm with the lower.
Answer to Problem 64P
The absolute pressure in the tank for cases of the manometer arm with the lower is
Explanation of Solution
Write the expression for the absolute pressure in the tank for cases of the manometer arm with the lower.
Here, the local atmospheric pressure is
Conclusion:
Substitute
Thus, absolute pressure in the tank for cases of the manometer arm with the lower is
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