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  4. Ammonium carbonate when heated to 200°C gives a mixture of NH3 and CO2 vapour with a density of 13.0. What is the degree of dissociation of ammonium carbonate?

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Q. Ammonium carbonate when heated to $200°C$ gives a mixture of $NH_{3}$ and $CO_{2}$ vapour with a density of $13.0.$ What is the degree of dissociation of ammonium carbonate?

Equilibrium

Solution:

$NH_{2}COONH_{4} \rightleftharpoons 2NH_{3} + CO_{2}$
$\alpha \frac {D-d}{(n-1)d}$ where D is the density (initial)
$D= \frac {mol.wt}{2} =\frac {78}{2} =39 $
$n = no$. of product $= 3 d =$ final density
$\alpha =\frac {39-13}{(3-1)13}=1 ,$so $\alpha =1$