Choose a basis for the following problem. Chlorine a water treatment plant 134.2 Ib/day. The flow rate of the leaving the plant is 10.7 million gallons per day. What is the average chlorine concentration in the treated water leaving the plant in mg/L?
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To find the average chlorine concentration in the treated water leaving the plant, we need to set up a basis for the problem. The basis should include the relevant quantities and units.
Let's choose the basis as follows:
1. Mass of chlorine used per day: \(134.2 \, \text{lb/day}\)
2. Flow rate of water leaving the plant: \(10.7 \, \text{million gallons per day}\)
Now, we can use this basis to calculate the average chlorine concentration in the treated water. The concentration can be expressed in milligrams per liter (mg/L).
\[ \text{Average Chlorine Concentration} = \frac{\text{Mass of Chlorine}}{\text{Flow Rate of Water}} \]
We'll need to convert the mass of chlorine from pounds to milligrams (1 lb = 453,592 mg) and the flow rate from gallons to liters (1 gallon ≈ 3.78541 L). After these conversions, we can plug in the values into the formula to find the average chlorine concentration in mg/L.
Let's choose the basis as follows:
1. Mass of chlorine used per day: \(134.2 \, \text{lb/day}\)
2. Flow rate of water leaving the plant: \(10.7 \, \text{million gallons per day}\)
Now, we can use this basis to calculate the average chlorine concentration in the treated water. The concentration can be expressed in milligrams per liter (mg/L).
\[ \text{Average Chlorine Concentration} = \frac{\text{Mass of Chlorine}}{\text{Flow Rate of Water}} \]
We'll need to convert the mass of chlorine from pounds to milligrams (1 lb = 453,592 mg) and the flow rate from gallons to liters (1 gallon ≈ 3.78541 L). After these conversions, we can plug in the values into the formula to find the average chlorine concentration in mg/L.
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