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A hypothetical gas dissociates as . At a certain temperature, the observed equilibrium vapour densitChemical Equilibrium Chemistry Question

Question

A hypothetical gas $A$ dissociates as $A(g) \rightleftharpoons 3B(g)$. At a certain temperature, the observed equilibrium vapour density is experimentally found to be exactly half of its theoretical vapour density. What is the degree of dissociation $\alpha$?

Answer: B

💡 Solution & Explanation

For $A(g) \rightleftharpoons 3B(g)$, $1\text{ mole}$ yields $n=3$ moles of product. Formula: $\alpha = (D - d) / ((n - 1)d)$. Given $d = D/2$, or $D = 2d$. Substituting: $\alpha = (2d - d) / ((3 - 1)d) = d / (2d) = 0.5$.

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