Convection equation thermodynamics

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SUMMARY

The discussion revolves around calculating the temperature rise in a concert hall filled with 1800 people, each generating 70W of metabolic heat, over a period of 2 hours. The initial air temperature is set at 293K, and the volume of the hall is 2.2×104 m3. Participants emphasize the need to apply the convection equation to solve the problem, while also noting the assumption of uniform temperature throughout the room as it reaches thermal equilibrium.

PREREQUISITES
  • Understanding of the convection equation in thermodynamics
  • Basic knowledge of heat transfer principles
  • Familiarity with metabolic heat generation calculations
  • Concept of thermal equilibrium in closed systems
NEXT STEPS
  • Study the convection equation and its applications in thermodynamics
  • Learn how to calculate heat transfer in closed environments
  • Explore metabolic heat generation and its impact on air temperature
  • Investigate thermal equilibrium concepts and their relevance in practical scenarios
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Students studying thermodynamics, particularly those tackling heat transfer problems, as well as educators seeking to clarify concepts related to convection and thermal equilibrium.

yossup
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Homework Statement



An audience of 1800 fills a concert hall of volume 2.2×104 m^3. If there were no ventilation, by how much would the temperature of the air rise over a period of 2.0 h due to the metabolism of the people (70W/person)? Assume the room is initially at 293K.

Homework Equations





The Attempt at a Solution



I have no idea how to start this problem without using the convection equation...

can someone at least give me a hint on how to start this problem? this is so confusing...

thanks.
 
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yossup said:
An audience of 1800 fills a concert hall of volume 2.2×104 m^3. If there were no ventilation, by how much would the temperature of the air rise over a period of 2.0 h due to the metabolism of the people (70W/person)? Assume the room is initially at 293K.

I have no idea how to start this problem without using the convection equation...

Hi yossup! :smile:

Yup … bit of a daft question, isn't it? :rolleyes:

My experience of daft exam questions tells me that since it says "the temperature", it means that you should assume that the whole room has only one temperature, and somehow reaches equilibrium! :wink:
 

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