Question

The flow rate y (in m³/min) in a device used for air-quality measurement depends on the pressure drop x (in inches of water) across the device’s filter (valid for 5≤x).

What is the question about this scenario?
A) Determine the pressure drop when the flow rate is at its maximum.
B) Identify the minimum pressure drop for a valid flow rate.
C) Find the maximum flow rate within the valid range of pressure drop.
D) Explore the relationship between flow rate and pressure drop.

Answer 1

The question is asking to find the maximum flow rate within the valid range of pressure drop. Hence, the correct answer is option (C).

Step-by-step explanation:

The question is about: C) Find the maximum flow rate within the valid range of pressure drop.

To find the maximum flow rate, we need to determine the pressure drop at which it occurs. The problem states that the valid range of pressure drop is 5≤x, so we need to find the highest value of x within this range. Once we have the pressure drop, we can use the relationship between flow rate and pressure drop to calculate the maximum flow rate.

For example, if the pressure drop at x=5 inches of water is y=10 m³/min, and the pressure drop at x=6 inches of water is y=9 m³/min, then the maximum flow rate would be 10 m³/min at x=5 inches of water.