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Given the following information, calculate the total flow in gallons after 1-minute of flowing through this channel. Assume the channel is rectangular and full. Channel Width: 5.0', Channel Depth: 2.0', Velocity: 3.5 ft/sec

  1. 5,000 gal

  2. 15,700 gal

  3. 12,000 gal

  4. 10,500 gal

The correct answer is: 15,700 gal

To determine the total flow in gallons after 1 minute flowing through a rectangular channel that is full, you need to calculate the flow rate first and then convert it to gallons over the specified time. 1. **Calculate the cross-sectional area of the channel**: Since the channel is rectangular, you can calculate the area by multiplying the width by the depth. - Area = Width × Depth = 5.0 ft × 2.0 ft = 10.0 square feet. 2. **Calculate the flow rate in cubic feet per second**: You can find the flow rate by multiplying the cross-sectional area by the velocity flowing through the channel. - Flow Rate = Area × Velocity = 10.0 ft² × 3.5 ft/sec = 35.0 cubic feet per second. 3. **Convert cubic feet per second to gallons per minute**: There are approximately 7.48 gallons in a cubic foot. - First, convert flow rate to gallons per second: 35 cubic feet/second × 7.48 gallons/cubic foot = 261.8 gallons/second. - Then, convert gallons per second to gallons per minute