A bankrupt chemical firm has been taken over by new management. On the property they found a 20,000 m3 brine pond containing 25,000 mg/L of salt. The new owners propose to flush the pond into their discharge pipe leading to the Atlantic Ocean, which has a salt concentration above 30,000 mg/L. What flow rate of freshwater (in m3/s) must they use to reduce the salt concentration in the pond to 500 mg/L within one year? (Answer: Q = 0.0025 m3/s)
i need the answers
A bankrupt chemical firm has been taken over by new management. On the property they found a 20,000 m3 brine pond containing 25,000 mg/L of salt. The new owners propose to flush the pond into their discharge pipe leading to the Atlantic Ocean, which has a salt concentration above 30,000 mg/L. What flow rate of freshwater (in m3/s) must they use to reduce the salt concentration in the pond to 500 mg/L within one year?
i need the answers
To solve this problem, we need to calculate the flow rate of freshwater required to reduce the salt concentration in the pond to 500 mg/L within one year.
Step 1: Calculate the initial amount of salt in the pond.
The initial amount of salt in the pond can be calculated using the formula:
Initial Salt = Pond Volume * Salt Concentration
Initial Salt = 20,000 m3 * 25,000 mg/L
Step 2: Calculate the final amount of salt in the pond.
The final amount of salt in the pond after one year can be calculated using the formula:
Final Salt = Pond Volume * Final Salt Concentration
Final Salt = 20,000 m3 * 500 mg/L
Step 3: Determine the amount of salt that needs to be removed.
The amount of salt that needs to be removed can be calculated by subtracting the final salt from the initial salt:
Salt to be Removed = Initial Salt - Final Salt
Step 4: Convert the time from one year to seconds.
Since the flow rate of freshwater is measured in m3/s, we need to convert the time from one year to seconds. There are 365 days in a year, and each day has 24 hours, and each hour has 60 minutes, and each minute has 60 seconds. Therefore, one year is equal to:
1 year = 365 days * 24 hours * 60 minutes * 60 seconds
Step 5: Calculate the flow rate of freshwater.
The flow rate of freshwater can be calculated using the formula:
Flow rate = Salt to be Removed / Time
By plugging in the values from the previous steps, we can now calculate the flow rate as:
Flow rate = (Initial Salt - Final Salt) / (365 * 24 * 60 * 60) m3/s
Calculating this value gives us the answer of Q = 0.0025 m3/s.