Answer to Question #88414 in Astronomy | Astrophysics for Shivam Nishad

Question

The average energy of particles in the early phase of the universe, when it was very
hot, was approximately 10 GeV. Calculate the corresponding temperature.

Answer 1

$$10 \ GeV = 1.6 \cdot 10^{-9} J$$

We need to use the formula for the energy:

$$E=3kT$$

$$T=\frac{E}{3k}=\frac{1.6 \cdot 10^{-9} }{3(1.38 \cdot 10^{-23})}=3.9 \cdot 10^{13} \ K$$