Question

In: Other

A pickle factory discharges brine with a salt concentration of 7 g/L at a flow of...

A pickle factory discharges brine with a salt concentration of 7 g/L at a flow of 4.5 m3/s to a river with a flow of 150 m3/s and a salt concentration of 150 mg/L upstream of the pickle factory. The salt concentration in the river cannot exceed 400 mg/L.

(a) Is the factory in compliance with this standard? Support your answer with calculations. (pay attention to units!)

(b) Describe (in complete sentences) at least one potential environmental impact of the brine. It is not sufficient to copy and paste words from the lecture slide, you need to explain the issue.

Solutions

Expert Solution

(a)  Concentration of brine from factory = 7g/L = 7mg/m3   (1g = 1000mg; 1L = 10-3m3 )

Flow rate of brine from factory = 4.5 m3/s

Quantity of salt flowing into the river = 4.5*7 = 31.5 mg/s ---------(1)

Similarly,

Concentration of brine in upstream = 150mg/L = 0.15 mg/m3   ( 1L = 10-3m3 )

Flow rate of river = 150 m3/s

Quantity of salt present in the river (upstream) = 150*0.15 = 22.5 mg/s---------(2)

Total salt flowing in downstream river = (1) + (2) = 54mg / s

Concentration of salt in downstream river = total quantity of salt / total flowrate = 54 / (150+4.5) = 0.349 mg /  m3  = 349mg /L

As we can see, the downstream concentration of the river (349mg/L) is less than the given standard value (400mg/L). Therefore, the factory is in compliance with the norms.

(b) One major environmental impact of brine is seen in soils:

The sodium content present in the brine will disperse the soil - which damages the soil structure. This soil now, cannot hold the water and hence is futile for agriculture. This results in dwarfed plant growth and also stops the seeds from germinating. The sodium and chloride ions also impede the absorption of nutrients from the soil to the plant.


Related Solutions

Initially 10 grams of salt are dissolved into 35 liters of water. Brine with concentration of...
Initially 10 grams of salt are dissolved into 35 liters of water. Brine with concentration of salt 4 grams per liter is added at a rate of 5 liters per minute. The tank is well mixed and drained at 5 liters per minute. A.Let x be the amount of salt, in grams, in the solution after t minutes have elapsed. Find a formula for the rate of change in the amount of salt, dx/dt, in terms of the amount of...
A brine solution of salt flows at a constant rate of 8 L/min into a large...
A brine solution of salt flows at a constant rate of 8 L/min into a large tank that initially held 100 L of brine solution in which was dissolved 0.15 kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rate. If the concentration of salt in the brine entering the tank is 0.03 ​kg/L, determine the mass of salt in the tank after t min. When will the...
A brine solution of salt flows at a constant rate of 4 L/min into a large...
A brine solution of salt flows at a constant rate of 4 L/min into a large tank that initially held 100 L of pure water. The solution flows out of the tank at a rate of 3 L/min. Set up a DE that governs this situation in terms of the mass of salt in the tank. Solve it.
A brine solution of salt flows at a constant rate of 4 ​L/min into a large...
A brine solution of salt flows at a constant rate of 4 ​L/min into a large tank that initially held 100 L of pure water. The solution inside the tank is kept well stirred and flows out of the tank at a rate of 3 ​L/min. If the concentration of salt in the brine entering the tank is 0.6 ​kg/L, determine the mass of salt in the tank after t min. When will the concentration of salt in the tank...
A tank contains 20 kg of salt dissolve in 7000 L of water. Brine that contain...
A tank contains 20 kg of salt dissolve in 7000 L of water. Brine that contain 0.041 kg of salt per liter of water enters the tank at a rate of 25 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. How much Kg salt remains in the tank if as time approaches to infinite?
A tank contains 9,000 L of brine with 11 kg of dissolved salt. Pure water enters...
A tank contains 9,000 L of brine with 11 kg of dissolved salt. Pure water enters the tank at a rate of 90 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. (a) How much salt is in the tank after t minutes? (b) How much salt is in the tank after 10 minutes? (Round your answer to one decimal place.)
A large tank holds 1000 L of water into which flows a brine solution with concentration...
A large tank holds 1000 L of water into which flows a brine solution with concentration of 1 kg / L at a rate of 6 L / min. The solution in the tank is kept well stirred and is flowing out of the tank at a rate of 5 L / min. Determine when the concentration of salt will reach 0.5 kg / L.
The following equation describes a certain dilution process, where y(t) is the concentration of salt in a tank of freshwater to which salt brine is being added.
The following equation describes a certain dilution process, where y(t) is the concentration of salt in a tank of freshwater to which salt brine is being added. Suppose that y(0) = 0. Plot y(t) for 0 ≤ t ≤ 10.
Calculate the molar solubility and the solubility in g/L of each salt at 25oC: a) PbF2...
Calculate the molar solubility and the solubility in g/L of each salt at 25oC: a) PbF2 Ksp = 4.0 x 10-8 b) Ag2CO3 Ksp = 8.1 x 10-12 c) Bi2S3 Ksp = 1.6 x 10-72
2.       A tank initially contains 120 L of pure water. A salt mixture containing a concentration of...
2.       A tank initially contains 120 L of pure water. A salt mixture containing a concentration of 1.5 g/L enters the tank at a rate of 2 L/min, and the well-stirred mixture leaves the tank at the same rate. Find an expression for the amount of salt in the tank at any time t. Also, find the limiting amount of salt in the tank as t →∞.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT