A wastewater treatment plant treats 500,000 liters of wastewater per day. What is the flow rate in gallons per minute (gpm)?a.20 gpmb.50 gpmc.100 gpmd.200 gpm
Question
A wastewater treatment plant treats 500,000 liters of wastewater per day. What is the flow rate in gallons per minute (gpm)?a.20 gpmb.50 gpmc.100 gpmd.200 gpm
Solution 1
To solve this problem, we need to convert liters to gallons and days to minutes.
Step 1: Convert liters to gallons 1 liter is approximately 0.264172 gallons. So, 500,000 liters is equal to 500,000 * 0.264172 = 132,086 gallons.
Step 2: Convert days to minutes 1 day is equal to 24 hours, and 1 hour is equal to 60 minutes. So, 1 day is equal to 24 * 60 = 1440 minutes.
Step 3: Calculate the flow rate in gallons per minute (gpm) Flow rate is the volume of fluid which passes per unit time. So, the flow rate in this case is 132,086 gallons / 1440 minutes = 91.73 gpm.
So, the answer is not listed among the options provided. The flow rate is approximately 92 gpm.
Solution 2
To solve this problem, we need to convert liters to gallons and then days to minutes.
Step 1: Convert liters to gallons 1 liter is approximately 0.264172 gallons. So, 500,000 liters is equal to 500,000 * 0.264172 = 132,086 gallons.
Step 2: Convert days to minutes 1 day is equal to 24 hours, and 1 hour is equal to 60 minutes. So, 1 day is equal to 24 * 60 = 1440 minutes.
Step 3: Calculate the flow rate in gallons per minute (gpm) Flow rate = Total volume / Total time So, the flow rate is 132,086 gallons / 1440 minutes = 91.73 gpm.
Therefore, none of the options provided (20 gpm, 50 gpm, 100 gpm, 200 gpm) are correct. The flow rate is approximately 92 gpm.
Similar Questions
To calculate the flow rate in gallons per minute (gpm) of water traveling at 8 ft/sec in a 10-inch pipe, you can use the following formula: Flow rate (gpm) = (velocity (ft/sec) x area (ft^2)) x 448.831 First, calculate the cross-sectional area of a 10-inch pipe in square feet: Radius of the pipe (r) = 10 inches / 2 = 5 inches = 5/12 feet Area (A) = π x r^2 = π x (5/12)^2 = π x 25/144 square feet Next, calculate the flow rate: Flow rate (gpm) = (8 ft/sec x A) x 448.831 Substitute the values into the formula and calculate the flow rate: Flow rate (gpm) = (8 x π x 25/144) x 448.831 Flow rate (gpm) ≈ 235.6 gpm Therefore, the flow rate of water traveling at 8 ft/sec in a 10-inch pipe is approximately 235.6 gallons per minute.
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