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Characteristics of Equilibrium Constant

Equilibrium c...

Question

Equilibrium constant for the reactions.
$2 N O + O_{2} ⇌ 2 N O_{2}$ is $K_{C_{1}}$ ;
$N O_{2} + S O_{2} ⇌ S O_{3} + N O$ is $K_{C_{2}}$ and
$2 S O_{3} ⇌ 2 s O_{2} + O_{2}$ is $K_{C_{3}}$ then correct reaction is:

K_{C_{3}} = K_{C_{1}} \times K_{C_{2}}

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K_{C_{3}} \times K_{C_{1}} \times K_{C_{2}}^{2} = 1

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K_{C_{3}} \times K_{C_{1}} \times K_{C_{2}} = 1

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K_{C_{3}} \times K_{C_{1}}^{2} \times K_{C_{2}}^{2} = 1

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Solution

The correct option is B $K_{C_{3}} \times K_{C_{1}} \times K_{C_{2}}^{2} = 1$
$2 N O + O_{2} ⇌ {2 N O}_{2}; K_{C_{1}}$
${N O}_{2} + {S O}_{2} ⇌ {S O}_{3} + N O; K_{C_{2}}$
${2 S O}_{3} ⇌ {2 S O}_{2} + O_{2}; K_{C_{3}}$
$K_{C_{1}} = \frac{{[{N O}_{2}]}^{2}}{{[N O]}^{2} [O_{2}]} K_{C_{2}} = \frac{[N O] [{S O}_{3}]}{[{N O}_{2}] [{S O}_{2}]}$
$K_{C_{3}} = \frac{[O_{2}] {[{S O}_{2}]}^{2}}{{[{S O}_{3}]}^{2}}$
$K_{C_{1}} \times K_{C_{3}} = \frac{{[{N O}_{2}]}^{2}}{{[N O]}^{2} [O_{2}]} \times \frac{[O_{2}] {[{S O}_{2}]}^{2}}{{[{S O}_{3}]}^{2}}$
$K_{C_{1}} \times K_{C_{3}} = \frac{{[{N O}_{2}]}^{2} {[{S O}_{2}]}^{2}}{{[N O]}^{2} {[{S O}_{3}]}^{2}} = \frac{1}{{[K_{C_{2}}]}^{2}}$
So, $K_{C_{1}} \times K_{C_{3}} \times {K^{2}}_{C_{2}} = 1$

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Similar questions

For the reaction $N_{2}$ + $O_{2}$ $⇋$ 2 NO equilibrium constant is $K_{c}$

Now if we multiply across the given equation by a constant say 3, the new equilibrium constant is ${K_{c}}^{3}$ (previous equilibrium raised to the power of the constant 3)

Q. When one mole of

P (g)

is introduced in one litre closed rigid vessel maintained at constant temperature, the following equilibrium is established.

P (g) ⇌ Q (g) + R (g) ⟹ K (C_{1})

R (g) ⇌ S (g) + Q (g) ⟹ K (C_{2})

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\frac{K (C_{2})}{K (C_{1})}

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Q. Given below are two reversible reactions :

A + B ⇌ Z

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Q. At a certain temperature, the following reactions have the equilibrium constants as shown below :

S (s) + O_{2} (g) ⇌ {S O}_{2} (g); K_{c 1} = 5 \times 10^{52}

2 S (s) + 3 O_{2} (g) ⇌ 2 S O_{3} (g); K_{c 2} = 10^{29}

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Equilibrium constant for the reactions.2NO+O2⇌2NO2 is KC1;NO2+SO2⇌SO3+NO is KC2 and2SO3⇌2sO2+O2 is KC3 then correct reaction is:

The correct option is B KC3×KC1×K2C2=12NO+O2⇌2NO2;KC1NO2+SO2⇌SO3+NO;KC22SO3⇌2SO2+O2;KC3KC1=[NO2]2[NO]2[O2]KC2=[NO][SO3][NO2][SO2]KC3=[O2][SO2]2[SO3]2KC1×KC3=[NO2]2[NO]2[O2]×[O2][SO2]2[SO3]2KC1×KC3=[NO2]2[SO2]2[NO]2[SO3]2=1[KC2]2So, KC1×KC3×K2C2=1

Equilibrium constant for the reactions.
$2 N O + O_{2} ⇌ 2 N O_{2}$ is $K_{C_{1}}$ ;
$N O_{2} + S O_{2} ⇌ S O_{3} + N O$ is $K_{C_{2}}$ and
$2 S O_{3} ⇌ 2 s O_{2} + O_{2}$ is $K_{C_{3}}$ then correct reaction is: