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Introduction to Le Chatelier's Principle

Given: N2g+3...

Question

Given:
$N_{2} (g) + 3 H_{2} (g) ⇌ 2 N H_{3} (g); K_{1}$
$N_{2} (g) + O_{2} (g) ⇌ 2 N O (g); K_{2}$
$H_{2} (g) + \frac{1}{2} O_{2} (g) ⇌ H_{2} O (g); K_{3}$
The equlibrium constant for the given reaction will be:
$2 N H_{2} (g) + \frac{5}{2} O_{2} (g) ⇌ 2 N O (g) + 3 H_{2} O (g)$

A

K_{1} K_{2} K_{3}

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B

\frac{K_{1} K_{2}}{K_{3}}

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C

\frac{K_{1} K_{2}^{2}}{K_{3}}

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D

\frac{K_{2} K_{1}^{2}}{K_{3}}

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Solution

The correct option is A $K_{1} K_{2} K_{3}$
$N_{2} + {3 H}_{2} ⇌ {2 N H}_{3} K_{1} \to (1)$
$N_{2} + O_{2} ⇌ 2 N O K_{2} \to (2)$
$H_{2} + 1 / 2 O_{2} ⇌ H_{2} O K_{3} \to (3)$
$2 {N H}_{3} + 5 / 2 O_{2} ⇌ 2 N O + 3 H_{2} O \to (4)$
Reaction $(4) =$ Inverse of reaction $(1)$ $+$ reaction $(2)$ $+$ $3$ $\times$ reaction $(3)$
$K = K_{1}^{- 1} \times K_{2} \times K_{3}^{3}$
$K = \frac{K_{2} K_{3}^{3}}{K_{1}}$

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Similar questions

N_{2} (g) + 3 H_{2} (g) ⇌ 2 N H_{3} (g); K_{1}

N_{2} (g) + O_{2} (g) ⇌ 2 N O (g); K_{2}

H_{2} (g) + \frac{1}{2} O_{2} (g) ⇌ H_{2} O (g); K_{3}

K_{1}, K_{2}, K_{3}

are equilibrium constants.
The equilibrium constant for the reaction,

2 N H_{3} (g) + \frac{5}{2} O_{2} (g) ⇌ 2 N O (g) + 3 H_{2} O (g)

N_{2} (g) + 3 H_{2} (g) ⇌ 2 N H_{3} (g); K_{1}

N_{2} (g) + O_{2} (g) ⇌ 2 N O (g), K_{2}

H_{2} (g) + \frac{1}{2} O_{2} (g) ⇌ H_{2} O (g); K_{3}

The equilibrium constant for,

2 N H_{3} (g) + \frac{5}{2} O_{2} (g) ⇌ 2 N O (g) + 3 H_{2} O (g)

N_{2} (g) + 3 H_{2} (g) ⇌ 2 N H_{3} (g); K_{1}

N_{2} (g) + O_{2} (g) ⇌ 2 N O (g), K_{2}

H_{2} (g) + \frac{1}{2} O_{2} (g) ⇌ H_{2} O (g); K_{3}

The equilibrium constant for,

2 N H_{3} (g) + \frac{5}{2} O_{2} (g) ⇌ 2 N O (g) + 3 H_{2} O (g)

N_{2} (g) + 3 H_{2} (g) ⇌ 2 N H_{3} (g); K_{1}

N_{2} (g) + O_{2} (g) ⇌ 2 N O (g); K_{2}

H_{2} (g) + \frac{1}{2} O_{2} (g) ⇌ H_{2} O (g); K_{3}

The equilibrium constant for

2 N H_{3} (g) + \frac{5}{2} O_{2} (g) ⇌ 2 N O (g) + 3 H_{2} O (g)

K_{1}

K_{2}

are equilibrium constants for reaction (i) and (ii)

N_{2} (g) + O_{2} (g) ⇌ 2 N O (g)

N O (g) ⇌ N_{2} (g) + \frac{1}{2} O_{2} (g)

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