Question

Carbon dioxide flows at a rate of 1.5 ft^3/s from a 3in pipe. What is the velocity of the gas?

a) 12.7 m/s
b) 5.08 m/s
c) 0.76 m/s
d) 3.81 m/s

Answer 1

To find the velocity of the gas flowing through a pipe, we can use the formula Q = A * v, where Q is the flow rate, A is the cross-sectional area of the pipe, and v is the velocity of the gas. By converting the diameter of the pipe to feet and calculating the cross-sectional area, we can rearrange the formula to solve for the velocity.

Step-by-step explanation:

To find the velocity of the gas, we can use the formula Q = A * v, where Q is the flow rate, A is the cross-sectional area of the pipe, and v is the velocity of the gas. Given that the flow rate is 1.5 ft³/s and the pipe has a diameter of 3 inches, we need to convert the diameter to feet and then calculate the cross-sectional area. The cross-sectional area can be found using the formula A = π * r², where r is the radius. Once we have the cross-sectional area, we can rearrange the formula to solve for the velocity, v. After plugging in the values, we find that the velocity of the gas is approximately 5.08 m/s.