Sun's Core Temp EK

[biohzd79]

I am having a hard time w/this problem.

Info:
-The repulsive forces between two small nuclei is called the Coulomb barrier. The height of the Coulomb barrier is about 400 keV.

-Temperature in thermonuclear studies are reported in terms of the most probable kinetic energy K of the interacting particles via the relation: K = kT. Where k is Boltzmann constant (8.62X10^-5eV/K) and T is the temperature in Kelvins.

-1.3 keV is the temperature at the core of the sun.

-An electron carries a charge of 1.6 X 10^-19C.

Question:
What is the approximate temperature of the sun's core in kelvins?

Answer:
1.5 X 10^7 K

I don't get how to get this answer😕

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[Quantum Chem]

(1.3x10 3 eV)/(8.62x10 -5 eV/K) = 1.5x10 7 Kelvin.

Watch your units. The sun's eV is given in keV, while the constant is given in eV.

 

[CommSNTS]

It seems like they gave you alot of unnecessary information.

I think it would just be the temperature of the sun's core divided by the Boltzmann constant.

1.3E3 eV / 8.62E-5 eV/K = 1.5E7 K

edit: someone just beat me to it, lol

 

[biohzd79]

Thanks guys. The kilo is what threw me off.

 

[Vihsadas]

Moving to study question Q&A. 🙂