Answer: [tex]3.1\times 10^9K[/tex]
Explanation:
Kinetic energy is the energy possessed by an object by virtue of its motion.
Average kinetic energy is defined as the average of the kinetic energies of all the particles present in a system. It is determined by the equation:
[tex]K=\frac{3kT}{2}[/tex]
K= kinetic energy
k= boltzmann constant =[tex]1.38\times 10^{-23}[/tex]
T= temperature in Kelvin
[tex]6.40\times 10^{-14}=\frac{3\times 1.38\times 10^{-23}\times T}{2}[/tex]
[tex]T=3.1\times 10^9K[/tex]
Thus the temperature needed is [tex]3.1\times 10^9K[/tex].