Question

A deuteron, 21H, is the nucleus of a hydrogen isotope and consists of one proton and one neutron. The plasma of deuterons in a nuclear fusion reactor must be heated to about 2.94×10^8 K . What is the rms speed of the deuterons?

Answer 1

1917723.40119 m/s

Step-by-step explanation:

m = Mass of deuteron =
`(1.637+1.675)* 10^(-27)=3.312* 10^(-27)`

k = Boltzmann constant =
`1.381* 10^(-23)\ J/K`

T = Temperature =
`2.94* 10^8\ K`

RMS velocity is given by

`V_r=\sqrt{(3kT)/(m)}\\\Rightarrow V_r=\sqrt{(3* 1.381* 10^(-23)* 2.94* 10^8)/(3.312* 10^(-27))}\\\Rightarrow V_r=1917723.40119\ m/s`

The RMS velocity of the deutrons is 1917723.40119 m/s