Solving Material Balance Problems in Evaporators

In summary, the conversation discusses the concentration and mixing of an aqueous solution containing 15% NaOH and 0.5% NaCl. After being concentrated at a rate of 100 kg/min in an evaporator, the solution is mixed with 2000 kg of aqueous NaOH solution in a mixer. After one hour, a sample is collected and analyzed, showing 40% NaOH and 0.8574% NaCl. The conversation then poses three questions related to this process: 1. the concentration of the original solution in the receiver, 2. the composition of the concentrate from the evaporator, and 3. the mass of water evaporated in one hour. The conversation also poses additional questions
  • #1
blackbeauty
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I have an issue with this question:

An aqueous solution containing 15% NaOH and 0.5% NaCl is concentrated at a rate of 100 kg/min in an evaporator. The concentrated solution is then mixed with 2000 kg of aqueous NaOH solution in a mixer. At the end of one hour a sample is collected from the mixer and analysed. The analysis shows 40% NaOH and 0.8574% NaCl. Calculate:

1. The concentration of the original solution in the receiver
2. The composition of the concentrate from the evaporator
3. The mass of water (in kg) evaporated in one hour.When it says that the solution in concentrated at a rate of 100 kg/min, does it mean that the amount entering the evaporator is 100kg in one minute? Or is it the amount leaving the evaporator?

Can this problem be solved without knowing the composition of the 2000 kg aqueous NaOH entering the mixer?
 
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  • #2
Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 

FAQ: Solving Material Balance Problems in Evaporators

1. What is a material balance problem?

A material balance problem is a mathematical tool used to track the flow of materials through a system and ensure that there are no unaccounted losses or gains. It is commonly used in chemical and process engineering to ensure the accuracy of material and energy balances.

2. What are the key components of a material balance problem?

The key components of a material balance problem are the inputs, outputs, and internal flows of materials in a system. Inputs can include raw materials or feed streams, outputs can include products or waste streams, and internal flows can include reactions, transfers, or storage within the system.

3. How is a material balance problem solved?

A material balance problem is solved by setting up a mass balance equation, which states that the total mass of inputs must equal the total mass of outputs plus any changes in internal flows. This equation can then be solved for the unknown variables using algebraic or numerical methods.

4. What are the assumptions made in a material balance problem?

The assumptions made in a material balance problem include the conservation of mass, that there are no unaccounted losses or gains, and that the system is at steady state. These assumptions may not always hold true in real-world systems, but they provide a good starting point for solving material balance problems.

5. What are the limitations of material balance problems?

Material balance problems have limitations in that they only account for mass and do not consider other factors such as energy, pressure, or temperature. They also assume that the system is at steady state, which is not always the case in dynamic systems. Additionally, material balance problems can become very complex and time-consuming to solve for large and intricate systems.

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