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JQ10
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Edit: Topic title should read power and temperature
Humans convert most of a 2000 kcal typical daily diet into heat. Calculate the power. What is the increase of temperature in a room with a volume of 15000 m^3 filled with 250 people over a 60 minute period?
Note: Power is defined as energy/time.
1kcal = 4.186kJ.
density of air = 1.29kg/m^3
molar mass of air = 29g
Treat air as a diatomic gas
C = change in internal energy/ number of moles * change in temperature = f/2*R
60 * 60 = 3600
2000 * 4.186 = 8372kJ/3600s = 2.3kJ/s = 2.3W
Specific Heat Capacity = 5/2 * R = 5/2 * 8.31 = 20.8 kJ/moleK
I'm really struggling with where to take it from there. I'd guess you would either use change in internal energy/ number of moles * change in temperature or use average kinetic energy = 5/2kT = 1/2mv^2rms but I'm not sure how to calculate the relevant data for either plus that doesn't use all the information given.
Homework Statement
Humans convert most of a 2000 kcal typical daily diet into heat. Calculate the power. What is the increase of temperature in a room with a volume of 15000 m^3 filled with 250 people over a 60 minute period?
Note: Power is defined as energy/time.
1kcal = 4.186kJ.
density of air = 1.29kg/m^3
molar mass of air = 29g
Treat air as a diatomic gas
Homework Equations
C = change in internal energy/ number of moles * change in temperature = f/2*R
The Attempt at a Solution
60 * 60 = 3600
2000 * 4.186 = 8372kJ/3600s = 2.3kJ/s = 2.3W
Specific Heat Capacity = 5/2 * R = 5/2 * 8.31 = 20.8 kJ/moleK
I'm really struggling with where to take it from there. I'd guess you would either use change in internal energy/ number of moles * change in temperature or use average kinetic energy = 5/2kT = 1/2mv^2rms but I'm not sure how to calculate the relevant data for either plus that doesn't use all the information given.
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