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

AI Thread Summary
The discussion centers on whether a constant should be included on the right-hand side (RHS) of equation (5.8). The user notes that the previous step contains a proportionality symbol (##\propto##), indicating a relationship rather than an equality. They express uncertainty about the necessity of a constant in the context of the equation involving the exponential term. The conversation confirms the user's understanding of the relationship between the variables and the exponential function. Ultimately, the need for a constant in the RHS remains a point of inquiry.
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Homework Statement


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Homework Equations

The Attempt at a Solution


I want to ask whether there should be a constant in RHS of (5.8).
 
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There is a ##\propto## in the previous step.
 
Orodruin said:
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?
 
Yes
 
Thank you for helping me.
 

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