How Do You Solve Complex Thermal Energy Problems?

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SUMMARY

This discussion focuses on solving two complex thermal energy problems related to heat transfer and metabolism. The first problem involves calculating the cubic meters of natural gas needed to maintain an indoor temperature of 24.5°C given an outside temperature of 0.0°C, with a thermal conductivity of 4.8 x 10-4 kW/m°C and wall thickness of 20.0 cm. The second problem requires determining the amount of water lost to evaporation while jogging, using a metabolic rate of 400 kcal/h above the basal metabolic rate (BMR) and the latent heat of vaporization of water at 2.5 x 106 J/kg. Participants seek guidance on the equations and methods to solve these problems accurately.

PREREQUISITES
  • Understanding of thermal conductivity and heat transfer principles
  • Knowledge of calorimetry and energy conversion (kcal to J)
  • Familiarity with metabolic rates and BMR calculations
  • Basic principles of evaporation and latent heat
NEXT STEPS
  • Study the heat transfer equations for steady-state conditions in buildings
  • Learn about calorimetry and how to convert kcal to Joules
  • Research the relationship between fat metabolism and water production
  • Explore the concept of latent heat and its applications in thermodynamics
USEFUL FOR

Students and professionals in physics, thermodynamics, and exercise physiology, particularly those dealing with thermal energy calculations and metabolic studies.

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Thermal Energy Problem HELP PLEASE!

:blushing: :smile: Hi guys I have these 2 thermal energy problems that I keep getting wrong answer, I really want to know the answer and the way to solve it. Thank u very much!


1. The average thermal conductivity of the walls (including windows) and roof of a house in Figure P11.32 is 4.8 10-4 kW/m°C, and their average thickness is 20.0 cm. The house is heated with natural gas, with a heat of combustion (energy given off per cubic meter of gas burned) of 9300 kcal/m3. How many cubic meters of gas must be burned each day to maintain an inside temperature of 24.5°C if the outside temperature is 0.0°C? Disregard radiation and loss by heat through the ground.



2. When you jog, most of the food energy you burn above your basal metabolic rate (BMR) ends up as internal energy that would raise your body temperature if it were not eliminated. The evaporation of perspiration is the primary mechanism for eliminating this energy. Determine the amount of water you lose to evaporation when running for 30 minutes at a rate that uses 400 kcal/h above your BMR. (That amount is often considered to by the "maximum fat-burning" energy output.) The metabolism of 1 gram of fat generates approximately 8.5 kcal of energy and produces approximately 1 gram of water. (The hydrogen atoms in the fat molecule are transferred to oxygen to form water.) What fraction of your need for water will be provided by fat metabolism? (The latent heat of vaporization of water at room temperature is 2.5 106 J/kg.)

For the first problem the answer I got is 119.96. But it was wrong. I can't afford to try more because I only have 3 chances and I am totally lost. The second problem I have no clue, could anyone guide me a little?
 
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What equation are you using for problem 1? Please show some work.

On two - on is asked to "Determine the amount of water you lose to evaporation when running for 30 minutes at a rate that uses 400 kcal/h above your BMR." From that one can determine total kcal.

Then use "The metabolism of 1 gram of fat generates approximately 8.5 kcal of energy and produces approximately 1 gram of water." find production of water from fat metabolism.

The total water loss (from evaporation) is found using "The latent heat of vaporization of water at room temperature is 2.5x106 J/kg."
 

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