How much air must be processed per day to provide the ozone for a water treatment plant that produces 400,000 m3 of clean water daily at a dose of 1 mg/L?
Understand the Problem
The question is asking us to calculate the amount of air that must be processed daily to provide the required amount of ozone for a water treatment plant. We will start by calculating the total amount of ozone needed based on the water volume and dosage, and then find out how much air is required to generate that ozone using the given conversion ratios.
Answer
The air volume required for processing is given by $ \text{Air Volume Required (m}^3) = \frac{\text{Total Ozone Needed (g)}}{\text{Ozone from Air (g/m}^3)} $.
Answer for screen readers
The amount of air that must be processed daily is calculated using the formula: $$ \text{Air Volume Required (m}^3) = \frac{\text{Total Ozone Needed (g)}}{\text{Ozone from Air (g/m}^3)} $$
Steps to Solve
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Calculate the Total Ozone Needed
First, we need to find how much ozone is required for the water treatment. This can be calculated using the formula: $$ \text{Total Ozone Needed (g)} = \text{Water Volume (m}^3) \times \text{Dosage (g/m}^3) $$ Here, you will input the given values for water volume and dosage. -
Determine the Ozone Production from Air
Next, we need to know how much ozone can be generated from a certain volume of air. Use the provided conversion ratio, which tells us how many grams of ozone can be produced from a cubic meter of air: $$ \text{Ozone from Air (g/m}^3) = \text{Conversion Ratio (g/m}^3) $$ -
Calculate the Air Volume Required
Use the total ozone needed and the amount of ozone produced per cubic meter of air to determine the volume of air needed each day. $$ \text{Air Volume Required (m}^3) = \frac{\text{Total Ozone Needed (g)}}{\text{Ozone from Air (g/m}^3)} $$ -
Final Calculation
Make sure to check your calculations to ensure that all units are consistent, and summarize the volume of air that must be processed daily.
The amount of air that must be processed daily is calculated using the formula: $$ \text{Air Volume Required (m}^3) = \frac{\text{Total Ozone Needed (g)}}{\text{Ozone from Air (g/m}^3)} $$
More Information
The calculations show how efficient ozone production from air can be achieved, and understanding these processes is vital for optimizing water treatment operations. This calculation is also relevant for public health and environmental protection.
Tips
- Miscalculating the total ozone needed by incorrectly multiplying volume and dosage.
- Failing to convert units properly; ensure that all units are aligned (g/m³ vs. m³).
- Not applying the conversion ratio correctly, which may lead to over or underestimating air requirements.
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