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Oxides of Nitrogen

At a certain ...

Question

At a certain temperature, the following reactions:
$N O (g) + \frac{1}{2} O_{2} (g) ⇌ N O_{2} (g)$
$N O_{2} (g) + N O (g) ⇌ N_{2} O_{3} (g)$
Have equilibrium constant $K_{1}$ and $K_2$ respectively.The equilibriumconstant for the reaction:
$2 N O (g) + \frac{1}{2} O_{2} (g) ⇌ N_{2} O_{3} (g)$ at the same temperature would be:

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Solution

The correct option is D
The $1^{s t}$ two are the step reactions of the required reaction, hence required $K = K_{1} K_{2}$

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Similar questions

For the two gaseous reactions (i) and (ii), at $25^{\circ} C$

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

(ii) $2 N O_{2} (g) ⇌ 2 N O (g) + O_{2} (g)$ ,

The equilibrium constants are $K_{1}$ and $K_{2}$ respectively are related as:

For the two gaseous reactions (i) and (ii), at $25^{0} C$

$(i) N O (g) + \frac{1}{2} O_{2} (g) ⟵ N O_{2} (g)$

$(i i) 2 N O_{2} (g) ⟵ 2 N O (g) + O_{2} (g)$ ,

The equilibrium constants are $K_{1}$ and $K_{2}$ respectively. these two constants are related as:

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}

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

K_{1}

K_{2}

N_{2} (g) + O_{2} (g) ⇌ 2 N O (g)

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

K_{1}

K_{2}

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

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

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