calculate the amount of heat energy inside the nucleus of the sun
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Beside the energy released by nuclear fusion in the core, the Sun is a hot plasma of hydrogen and helium ranging from thousands to million of degrees. So how does that translate into energy ?
I have thought of an approach to find out how much energy a cubic meter of the Sun's core has by trying to calculate how much the "heat" in this cubic meter would equal in terms of energy. I used the specific heat capacity for hydrogen and helium in order to see how much energy it would take to raise the temperature of a cubic meter of the Sun's core with density of 150×103150×103 kg/m3kg/m3 to 15×10615×106 °K°K, and that's what I got:
QQ = C×m×TC×m×T
The heat capacity of hydrogen is 14 kJ/kg.K, so:
QQ = 14,000×150∗103×15∗10614,000×150∗103×15∗106 = 3.15×10163.15×1016 JJ
One problem I faced was determining the specific heat capacity of the hydrogen at higher temperatures. As found here, the heat capacity increases with temperature. I used the value at 250 °K, so the number I calculated might be lower limit of the correct value.
HOPE THIS WILL HELP. PLEASE MARK AS BRAINLIEST AND FOLLOW ME.
I have thought of an approach to find out how much energy a cubic meter of the Sun's core has by trying to calculate how much the "heat" in this cubic meter would equal in terms of energy. I used the specific heat capacity for hydrogen and helium in order to see how much energy it would take to raise the temperature of a cubic meter of the Sun's core with density of 150×103150×103 kg/m3kg/m3 to 15×10615×106 °K°K, and that's what I got:
QQ = C×m×TC×m×T
The heat capacity of hydrogen is 14 kJ/kg.K, so:
QQ = 14,000×150∗103×15∗10614,000×150∗103×15∗106 = 3.15×10163.15×1016 JJ
One problem I faced was determining the specific heat capacity of the hydrogen at higher temperatures. As found here, the heat capacity increases with temperature. I used the value at 250 °K, so the number I calculated might be lower limit of the correct value.
HOPE THIS WILL HELP. PLEASE MARK AS BRAINLIEST AND FOLLOW ME.
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