Practice Diffusion and Mass Transfer - 3.6 | 17. Applications in Engineering Problems | Mathematics - iii (Differential Calculus) - Vol 2
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Diffusion and Mass Transfer

3.6 - Diffusion and Mass Transfer

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the basic equation of diffusion discussed in this section?

💡 Hint: Look for the relationship between concentration and diffusion in time.

Question 2 Easy

What does D represent in the diffusion equation?

💡 Hint: Think about how quickly substances spread.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the variable C represent in the diffusion equation?

Pressure
Concentration
Velocity

💡 Hint: Remember the basic definition of concentration.

Question 2

True or False: The diffusion coefficient (D) is irrelevant in determining how quickly substances diffuse.

True
False

💡 Hint: Think about how fast a substance spreads.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Consider a body of water contaminated with a substance having a diffusion coefficient of 0.1 cm²/s. If the concentration at the source is 100 mg/L and in the surrounding water is 10 mg/L, estimate when the concentration will equalize within a distance of 10 cm. Use the diffusion equation appropriately.

💡 Hint: Experiment with visualizing the diffusion process over time to assist in your calculation.

Challenge 2 Hard

A drug is released from a pill in a controlled manner with a diffusion coefficient of 2.0 x 10^-6 cm²/s. If it takes 2 hours for the drug concentration at a certain distance to reach 5 mg/L from an initial dose concentration of 200 mg/L, assess the effectiveness of the drug by evaluating diffusion parameters.

💡 Hint: Focus on how releasing drugs slowly could result in consistent concentration levels that attain therapeutic goals.

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