# Molecular Kinetic Energy

1. Feb 18, 2013

### jensgt

1. The problem statement, all variables and given/known data
A deuteron, , 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 3.01×108 . What is the rms speed of the deuterons?

What would the temperature of the plasma be if the deuterons had an rms speed equal to 9.0×10−2 ?

2. Relevant equations

Vrms = √(3KT/m)

1/2mv2 = 3/2KT

mVrms2/(3K) = T

3. The attempt at a solution

I went over this about 100 times before giving up. The answer I know is 5.9x1010K but even with that I can't get the answer. It is driving me sort of crazy so I figured I would ask if someone could help. The K I am using is 1.38x10-23J/K and the m is 3.34x10-27kg

help!

2. Feb 19, 2013

### ehild

Use units, please. In what unit the rms speed has to be 9.0×10−2 and temperature 3.01×108?

ehild

3. Feb 19, 2013

### jensgt

Speed = m/s and temp = K

4. Feb 19, 2013

### ehild

Have you copied the rms speed correctly? 9.0x10-2 m/s is unrealistic. Even at room temperature, the rms speed is about 2000 m/s for the deuteron.

ehild