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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the governing equation for heat transfer in spherical coordinates?
💡 Hint: Look at the components: heat transfer rate involves radii and temperatures.
Question 2
Easy
Define thermal conductivity.
💡 Hint: It's denoted by the letter 'k'.
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 'k' represent in the heat transfer equation?
- Thermal Conductivity
- Heat Transfer Rate
- Resistance
💡 Hint: Reference the section where we discussed thermal properties.
Question 2
True or False: The critical radius of insulation always reduces heat loss.
- True
- False
💡 Hint: Think back to critical radius concepts we discussed.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A thick spherical shell with inner radius 0.1 m and outer radius of 0.15 m is insulated. If the thermal conductivity of the shell material is 0.5 W/m·K, calculate the heat transfer rate when the inner temperature is maintained at 75°C while the outer surface is exposed to an environment at 25°C.
💡 Hint: Assess how thermal conductivity impacts the heat rate effectively.
Question 2
Create a design layout for an insulated hot water storage tank shaped like a sphere. What would be your considerations regarding the critical radius while planning the insulation thickness?
💡 Hint: Consider both thermal efficiency and heat retention during this planning.
Challenge and get performance evaluation