For a general gaseous dissociation reaction , which of the following mathematical relationships is u — Chemical Equilibrium Chemistry Question
Question
For a general gaseous dissociation reaction $A(g) \rightleftharpoons nB(g)$, which of the following mathematical relationships is universally correct? (where $D$ = theoretical vapour density, $d$ = observed vapour density, $\alpha$ = degree of dissociation)
Answer: A
💡 Solution & Explanation
This is the standard textbook derivation based on conservation of mass. Total moles at equilibrium $= 1 + (n-1)\alpha$. Since molar mass is inversely proportional to total moles, $d/D = 1 / (1 + (n-1)\alpha)$, which rearranges to $\alpha = (D - d) / ((n - 1)d)$.
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