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Each form of energy generation in stars depends on temperature.

A. The rate of hydrogen fusion (proton-proton chain) near 10^7 K increases with temperature as T^5. If you raise the temperature of the hydrogen-burning core by 10 percent, how much does the hydrogen fusion energy increase?

B. Helium fusion (the triple-alpha process) at 10^8 K increases with an increase in temperature at a rate of T^38. If you raise the temperature of the helium-burning core by 10 percent, how much does the helium fusion energy increase?

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