Heat isn't really "contained" so I assume you mean temperature. Are you refering to the Sun's surface or volume area?
True or False?
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Nov 28, 2013
0
#3
Heat and temperature are two different things. Temperature is measured PER PARTICLE... so a near-vacuum can have a temperature of millions of degrees, just as the Sun's (almost-vacuum) corona does. Heat is a bulk property, an integral sum of temperature TIMES particles PER volume... not an average value.
I am refering to volume compared to volume... take the total heat content of the Sun, divide it by the number of cubic centimeters. Do the same for a human being. Compare.
Nov 29, 2013
0
#4
But you have not provided any coefficients values or defined any constants.
U can compare the heat energy of one cubic cm of the sun and that of the human body by calculating the "change in heat energy" from absolute zero. A "change in heat energy" can be estimated by getting the product of mass, specific heat capacity and change in temperature(Kelvin scale). I do not hav the values of the specific heat capacities tho, u'll need to check that out urself if u really want to get the answer to ur question. And without calculation, I'm pretty sure that the sun has more heat energy per cubic cm on average ;)
Nov 29, 2013
0
#6
AmeryNg wrote:
And without calculation, I'm pretty sure that the sun has more heat energy per cubic cm on average ;)
WITH calculation (admittedly very rough figures), I suspect that your intuitive answer is wrong. By my back-of-the-envelope calculations, a human body has about seven times as much heat per cc as the Sun does.
May I hav a look at ur calculations? and also the way in which u estimate the values of the specific heat capacities and mass per cubic metre of the human body and the sun.
Nov 29, 2013
0
#8
Don't have them with me. I did this calculation months ago. Another guy at the college approached the problem from a completely different direction (radiative flux into a 2.7 degree absolute environment) and also got a similar answer... roughly 7x.
The main point is that the Sun has so few particles per cc that even at its high temperature (energy-per-particle) it has very little heat in each cc.
another simpler thought-experiment sytle of approach to the question is by imagining many living human beings stacked and piled tightly together to form a huge ball with the same volume as the sun, will the gigantic ball of humans radiate the same total amount of heat as the sun at any given time? If your answer is no, then the average heat per unit volume of the ball will also be lower than that of the sun rite? o.O
Nov 29, 2013
0
#10
The frequency peak will certainly be lower... in infra-red rather than in the yellow... but would the total flux be lower? Remember that we are dealing with non-equilibrium systems. The Sun wouldn't shine at all if it were in equilibrium.
Radiative flux depends on a lot more than just heat per volume. It depends critically (T to the fourth power?) on the absolute temperature.
sorry, I mean "will the gigantic ball of humans have the same total amount of heat as the sun at any given time" instead of "radiate the same amount of heat".
I thought of another way all of a sudden haha: The sun radiates it's energy thru 149 600 000 km of space to the Earth and so only a small fraction of the energy intensity reaches the Earth [1/(1.496 x 10^11)^2 of the initial intensity], and an even smaller fraction is captured by plants through photosynthesis and an we humans receive an even smaller amount of that energy when we eat food about 3 times per day (energy received futher decreases down the food chain). Can it be possible that the heat per unit volume of our body be lower than that of the sun? @@
Nov 29, 2013
0
#12
Yes, but the volume of a human body... or for that matter, the volume of the entire biosphere of the Earth... is only a miniscule fraction of the Sun's volume.
Yeah, for the human body to have more heat per unit volume than the Sun, the value of the fraction of the volume of the Earth's entire biosphere to that of the Sun will need to be lower than "1/(1.496 x 10^11)^2" x "fraction of energy captured by plants" x "fraction of energy transfered to us through eating the plants" though. Calculation time! :D
I tried to look up the question on google and found this interesting video: http://www.youtube.com/watch?v=Ps87Lqrs9d4
He's only talking about the heat per vol at the surface and the core of the Sun though, not so much on the average heat per Vol. I am still blur on what should be the conclusion o.O
One average cubic centimeter of your body contains more heat than one average cubic centimeter of the Sun.
True or False?