What is the filter area in square feet if the maximum output flow from the pool pump is 350 gallons per minute with a filter rate of 2.0 gpm/ft²?

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To determine the filter area in square feet based on the pump's output flow and the filter rate, you'll use the following formula:

[ \text{Filter Area} = \frac{\text{Flow Rate}}{\text{Filter Rate}} ]

In this case, the maximum output flow from the pool pump is 350 gallons per minute, and the filter rate is provided as 2.0 gallons per minute per square foot.

By substituting the values into the formula:

[ \text{Filter Area} = \frac{350 \text{ gpm}}{2.0 \text{ gpm/ft}^2} ]

This division will yield:

[ \text{Filter Area} = 175 \text{ ft}^2 ]

Therefore, the correct answer is 175 square feet, as it directly expresses the required size of the filter area needed to accommodate the flow output of the pool pump at the specified filter rate. Understanding this calculation is essential for maintaining effective filtration and proper pool operation, ensuring that the pool water remains clean and clear.

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