Lawson Parameter for Sustained Deuterium-Deuterium Fusion

[accidentprone]

Homework Statement

Calculate the minimum Lawson parameter for sustained deuterium-deuterium fusion in a plasma with an energy of 10 keV.

Homework Equations

The Lawson parameter is given as $$ n \tau > \frac{12 k T}{<\sigma v> Q} $$

where $\sigma$ is the fusion cross-section.

The Attempt at a Solution

I think that Q for d-d reaction is 4 MeV when a proton is produced and 3.3 MeV when a neutron is produced so I assume for the minimum Lawson parameter I should use the larger value of 4 MeV?

Also if the energy of the plasma is 10 MeV should I use this to calculate the temperature of the reaction $T$ using $\frac{3}{2} k T$ or somehow the velocity $v$ using $\frac{1}{2} m v^2$?

 

[jbsteele]

I'm having trouble finding the fusion cross-section but I think it is in the range of 2-4 barns. So I have all the other parameters required, do I just plug them all into the equation and solve for n\tau ? Thanks for any help!