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Chapter 2: Problem 31

A U-tube manometer is used to check the pressure of natural gas entering a furnace. One side of the manometer is connected to the gas inlet line, and the water level in the other side open to atmospheric pressure rises 3 in. What is the gage pressure of the natural gas in the inlet line in in. \(\mathrm{H}_{2} \mathrm{O}\) and in \(1 \mathrm{b} / \mathrm{in}^{2}\) gage?

Short Answer

Expert verified
The gage pressure of the natural gas in the inlet line is 3 inches of water or approximately 0.108 psi.

Step by step solution

01

Understanding the U-tube manometer and its operating principle

The U-tube manometer is a simple and versatile device used for measuring pressure or pressure differences. When connected to the gas line, the pressure pushes the fluid (in this case water) down in one side of the manometer and up in the other, resulting in a displacement of the fluid or 'head'. In this exercise, this head is found to be 3 inches.
02

Calculating the Gas Pressure in inches of Water

The pressure of the gas in the inlet line is simply the height difference in the two sides of the manometer, which in this case is 3 inches of water since water is the manometric fluid used. This gives the pressure in inches of water.
03

Converting from inches of Water to psi

The pressure in psi (pounds per square inch) can be found by using the conversion factor \(2.31 \, ft\, of\, water = 1 \, psi\). But the pressure result from step 2 is in inches, not feet, so we must first convert 3 inches to feet by dividing by 12: \(3 \, in = 3/12 \, ft = 0.25 \, ft\). \nThen we can convert to psi using the given conversion factor: \(P_{psi} = 0.25 \, ft / 2.31 \, ft/psi = 0.108 \, psi\).

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Most popular questions from this chapter

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