Ammonia is heated at $15 a t m$ from $27^{o} C$ to $347^{o} C$ assuming volume constant. The new pressure becomes $50 a t m$ at equilibrium. Calculate % of ${N H}_{3}$ actually decomposed.

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Solution

Pressure of ${N H}_{3}$ at $27^{o} C = 15 a t m$
Pressure of ${N H}_{3}$ at $347^{o} C = P a t m$
$\frac{P}{620} = \frac{15}{300}$
$P = 31 a t m$
Let $a$ moles of ammonia be present. Total pressure at equilibrium $= 50 a t m$
$2 {N H}_{3} ⇌ N_{2} (g) + H_{2} (g)$
At equi, $(a - 2 x)$ $x$ $3 x$
total moles $a - 2 x + x + 3 x = a + 2 x$
$\frac{I n i t i a l n o . o f m o l e s}{M o l e s a t e q u i l i b r i u m} = \frac{I n i t i a l p r e s s u r e}{E q u i l i b r i u m p r e s s u r e}$
$\frac{a}{a + 2 x} = \frac{31}{50}$
$x = \frac{19}{62} a$
Amount of ammonia decomposed $2 x = 2 \times \frac{19}{62} a = \frac{19}{31} a$
% of ammonia decomposed $\frac{19 \times a}{31 \times a} \times 100$
$= 61.3$

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Ammonia is heated at 15 atm for

27^{o} C

347^{o} C

assuming volume constant. The new pressure becomes 50 atm at equilibrium. The % of ammonia actually decompose is :

N H_{3}

is heated at 15 atm from

27^{0} C

347^{0} C

assuming volume constant. The new pressure becomes to atm at equilibrium of the reaction

2 N H_{3} ⇌ N_{2} + 3 H_{2}

% of mole of

N H_{3}

actually decomposed in the reaction is:

Q. Ammonia under a pressure of

15 atm

27^{\circ} C

is heated to

347^{\circ} C

in a closed vessel in the pressure of a catalyst. Under these conditions

N H_{3}

is partially decomposed according to the equation,

2 N H_{3} ⇌ N_{2} + 3 H_{2}

The vessel is such that the volume remains effectively constant whereas pressure increases to

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. Calculate the percentage of

N H_{3}

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Ammonia kept under pressure of 15 atm at 27⁰C is heated to 347⁰C in a closed vessel in the presence of catalyst. Under these conditions, NH₃ is partially decomposed according to the equation, $2 N H_{3} ⇋ N_{2} + 3 H_{2}$ . The vessel is such that the volume remains effectively constant whereas pressure increases to 50 atm. Calculate the percentage of NH₃ actually decomposed.