Q. For the decomposition reaction $NH_{2}COONH_{4}(s) \rightleftharpoons 2{NH}_{3}(g) + {CO}_{2}(g)$ The $K_{p} = 2.9 \times 10^{- 5}atm^{3}$. The total pressure of gases at equilibrium when 1 mole of $NH_{2}COONH_{4}(g)$ was taken to start with would be

A) $0.0766\ atm$
B) $0.0582\ atm$
C) $0.0388\ atm$
D) $0.0194\ atm$
Explanation

(b)
$NH_{2}COONH_{4}(s) \rightleftharpoons 2{NH}_{3}(g) + {CO}_{2}(g)$
1 2 4
If $p$ is the total pressure at equilibrium
$K_{p} = \frac{\left\lbrack NH_{3} \right\rbrack^{2}\lbrack CO_{2}\rbrack}{\lbrack NH_{2}COONH_{4}\rbrack}$
$2.9 \times 10^{- 5} = \frac{\left( \frac{2p}{3} \right)^{2} \times \frac{p}{3}}{1}$
$2.9 \times 10^{- 5} = \frac{4 \times p^{3}}{27}$
$\Rightarrow p^{3} = \frac{27 \times 2.9 \times 10^{- 5}}{4}$
$= 1.9575$
$p = \sqrt[3]{1.9575} = 0.058$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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