Question

To prevent traps, gas piping for other than dry gas conditions, shall be sloped not less than ________?

1) 1/8 inch per foot
2) 1/4 inch per foot
3) 1/2 inch per foot
4) 1 inch per foot

Answer 1

Using Bernoulli's equation, the gauge pressure needed for water to emerge at a speed of 12 m/s from the smaller elevated end of the pipe can be calculated by considering the kinetic and potential energy changes in the fluid.

Step-by-step explanation:

To answer the student's homework question related to gas piping, we must draw upon knowledge from Physics to address fluid dynamics and pressure differences. In the scenario of a pipe tapered such that one end has a diameter twice as large as the other, and with water emerging at a speed of 12 m/s from the smaller end, which is 8 meters above the larger end, we're interested in finding the gauge pressure, which is the difference in pressure between the two ends of the pipe.

Using the Bernoulli's equation, which links pressure, kinetic energy, and gravitational potential energy in a flowing fluid, we can set up an equation accounting for the varying heights of the pipe's ends and the velocity of the fluid at the point of exit. This allows us to solve for the required pressure differential, which ensures the desired flow characteristics.

To calculate the gauge pressure, we look at the difference in kinetic and potential energy per unit volume between the two ends of the pipe and then apply the equation for the conservation of energy in flowing fluids, which is a simplification of Bernoulli's principle. From this, we can find the pressure difference required to have water emerge at a specified velocity from the elevated end of the pipe.