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

Test your understanding with targeted questions related to the topic.

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.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

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.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation