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Convert the flow rates:

1. 8750 (gal/min) to (ft³/s)
2. 150 (L/min) to (m³/s)
3. 0.05 (ft³/s) to (gals)

a) 8750 gal/min = 29.3 (ft³/s), 150 L/min = 0.0025 (m³/s), 0.05 (ft³/s) = 0.36 gals

b) 8750 gal/min = 36.6 (ft³/s), 150 L/min = 0.0025 (m³/s), 0.05 (ft³/s) = 0.36 gals

c) 8750 gal/min = 29.3 (ft³/s), 150 L/min = 0.0025 (m³/s), 0.05 (ft³/s) = 0.5 gals

d) 8750 gal/min = 36.6 (ft³/s), 150 L/min = 0.0025 (m³/s), 0.05 (ft³/s) = 0.5 gals

Answer :

The flow rates is a) 8750 gal/min = 29.3 (ft³)/s, 150 L/min = 0.0025 (m³)/s, 0.05 (ft³)s = 0.36 gal/s

The conversion from gallons per minute (gal/min) to cubic feet per second ((ft³)/s) involves multiplying by a conversion factor. Similarly, for liters per minute (L/min) to cubic meters per second (m³/s), and cubic feet (ft³) to gallons (gal), appropriate conversion factors are applied. For the given values, the correct conversions are as follows:

- 8750 gal/min to (ft³)/s: Multiply by 0.003785 to convert gallons to cubic meters, then multiply by 35.3147 to convert cubic meters to cubic feet, and finally divide by 60 to convert minutes to seconds.

- 150 L/min to (m³)/s: Multiply by 0.001 to convert liters to cubic meters and then divide by 60 to convert minutes to seconds.

- 0.05 (ft³)s to gal/s: Multiply by 7.48052 to convert cubic feet to gallons.

Therefore, the correct answer is option a), where the flow rates are correctly converted to their respective units.

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