Should there be a constant in the RHS of (5.8)?

[Pushoam]

Homework Statement

Homework Equations

The Attempt at a Solution

I want to ask whether there should be a constant in RHS of (5.8).

 

[Orodruin]

There is a $\propto$ in the previous step.

 

[Pushoam]

There is a $\propto$ in the previous step.

So, $g(v_x) ~g(v_y)~g(v_z) ~dv_x ~dv_y ~dv_z ∝ e^{(\frac{-~½mv^2}{k_BT})} ~dv_x ~dv_y ~dv_z$. Right?

 

[Orodruin]

Yes

 

[Pushoam]

Thank you for helping me.