How can n = c/v?

I know this question is probably really rudimentary or I may just be fundamentally misunderstanding something but I would really like to just understand this.


So $n=\pu{1 mole}$, $c=\pu{1 moles/L}$ and $v=\pu{1 L}$


This is how I learned this and it makes sense. However, this way, the equation doesn't make sense. It reads: $$\pu{moles}=\frac{\pu{moles/L}}{\pu{L}}$$


Which simplifies into $$\pu{moles}=\frac{\pu{moles}}{\pu{L}^2}$$


<http://www.wolframalpha.com/input/?i=x%3D%28x%2Fl%29%2Fl>


Which is obviously wrong. What am I not getting here?




It should be $n=cv$


Then, your first equation


$$\pu{moles}=\frac{\pu{moles/L}}{\pu{L}}$$


becomes$$\pu{moles}=\pu{\frac{moles}{L}}\times\pu{L}=\pu{moles}$$


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