Salt Concentration in 4000L Tank: Find the Limit

In summary, finding the limit of salt concentration in a 4000L tank is crucial for various industrial and scientific processes. This can be determined through techniques such as titration, conductivity measurement, and spectrophotometry. The limit can be affected by factors like temperature, pH, stirring rate, and type of salt used. Exceeding the limit can result in equipment damage, product contamination, and health or environmental hazards. To control the salt concentration, regular monitoring and adjustment of salt levels, as well as maintaining proper temperature, pH, and stirring rate, are necessary.
  • #1
step1536
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A tank contains 4000L of pure water. Brine that contains 30g of salt per liter of water is pumped into the tank at a rate of 25L/min. Show that the concentration of salt after t minutes (in grams per liter) is C(t) = 30t/160+t

What happens to the concentration as t --> infinity
lim C(t)= ____________g/L
t --> infinity
 
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  • #2
any ideas - you should show your attempt
 

FAQ: Salt Concentration in 4000L Tank: Find the Limit

What is the importance of finding the limit of salt concentration in a 4000L tank?

Finding the limit of salt concentration in a tank is crucial for various industrial and scientific processes such as water treatment, food production, and chemical reactions. It ensures the safety and quality of the end products and prevents equipment damage.

How is the limit of salt concentration in a 4000L tank determined?

The limit of salt concentration can be determined through several methods such as titration, conductivity measurement, and spectrophotometry. These techniques involve analyzing the concentration of ions in the tank and comparing it to the known limit for the specific application.

What factors can affect the limit of salt concentration in a 4000L tank?

The limit of salt concentration can be affected by various factors such as temperature, pH, stirring rate, and the type of salt used. These factors can alter the solubility and saturation point of the salt, ultimately impacting the overall concentration in the tank.

What are the potential risks of exceeding the limit of salt concentration in a 4000L tank?

If the limit of salt concentration is exceeded, it can lead to equipment corrosion, product contamination, and reduced efficiency of industrial processes. In some cases, it can also pose health and environmental hazards.

How can the limit of salt concentration in a 4000L tank be controlled?

The salt concentration in a tank can be controlled by regular monitoring and adjusting the amount of salt added to the tank. It is also essential to maintain the proper temperature, pH, and stirring rate to prevent salt accumulation and maintain the desired concentration level.

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