Question

Nuclear fusion, the energy source of the Sun, hydrogen bombs, and fusion reactors, occurs much more readily when the average kinetic energy of the atoms is high—that is, at high temperatures. Suppose you want the atoms in your fusion experiment to have average kinetic energies of 6.40×10^{-14} J . What temperature is needed? (answer in ×10^{9} K)

Answer 1

`3.09* 10^(9)\ K`

Step-by-step explanation:

K = Kinetic energy of the fusion experiment =
`6.40* 10^(-14)\ J`

k = Boltzmann constant =
`1.38* 10^(-23)\ J/K`

T = Temperature of gas

Kinetic energy of a gas molecule is given by

`K=(3)/(2)kT\\\Rightarrow T=(2K)/(3k)\\\Rightarrow t=(2* 6.40* 10^(-14))/(3* 1.38* 10^(-23))\\\Rightarrow T=3091787439.61352=3.09* 10^(9)\ K`

The temperature which is needed is
`3.09* 10^(9)\ K`