# Degree of dissociation and conductance

My book says ratio of molar conductance at a given concentration of solute and molar concentration at infinite dilution is equal to degree of dissociation for weak electrolytes. I understand it intuitively but I feel like I need a proof to believe it which i cannot find anywhere on internet.

Can you prove the relation indicated by the equation below?

$$\alpha = \dfrac{\Lambda_\mathrm{M}}{\Lambda^{\circ}_\mathrm{M}}$$

• Note that using photos/screenshots of text instead of typing text itself is highly discouraged. The image text content cannot be indexed nor searched for, nor can be reused in answers. Specifically handwritten scripts can be difficult to decipher. Consider copy/pasting or rewriting of at least essential parts. Suitable formatting can be done according to formatting math/chem expressions/equations. Jul 22 at 11:07
• I have written what it says exactly in questions and I am a newbie here so i can't seem to get around formating yet, sorry Jul 22 at 11:10
• No problem, that is why those comments are posted, to be handy for you for future cases. Jul 22 at 11:10
• Note that terms "proof" and "science" do not like much each other, unless you mean the formal mathematical proof of consistence of theoretical model. Considering matching theory and experiment, there are used terms experimental confirmation or refutation of theoretical claims of models, hypothesis or theories. Jul 22 at 11:16