Three gaseous equilibria have values of equilibrium constants as $K_{1}, K_{2}, K_{3}$ respectively. $A + B ⇌ C {(K}_{1}); B + C ⇌ P + Q {(K}_{2})$ and $A + 2 B ⇌ P + Q {(K}_{3})$
What is relationship between $K_{1}, K_{2}, K_{3}$ ?

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

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K_{3} = K_{1} / K_{2}

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K_{3} = K_{1} + K_{2}

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K_{3} = K_{2} / K_{1}

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Solution

The correct option is A $K_{3} = K_{1} \times K_{2}$
$\frac{A + B ⇌ C, K_{1} B + C ⇌ P + Q, K_{2}}{A + 2 B ⇌ P + Q} K_{1} \times K_{2}$ (on adding 1st and 2nd equation we get)

$A + 2 B ⇌ P + Q, K_{3}$

$K_{2} = K_{1} \times K_{2}$

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Three gaseous equilibria have values of equilibrium constants as K1, K2, K3 respectively. A+B⇌C (K1);B+C⇌P+Q (K2) and A+2B⇌P+Q (K3)What is relationship between K1,K2,K3 ?

The correct option is A K3=K1×K2A+B⇌C,K1B+C⇌P+Q,K2A+2B⇌P+QK1×K2 (on adding 1st and 2nd equation we get)A+2B⇌P+Q ,K3K2=K1×K2

Three gaseous equilibria have values of equilibrium constants as $K_{1}, K_{2}, K_{3}$ respectively. $A + B ⇌ C {(K}_{1}); B + C ⇌ P + Q {(K}_{2})$ and $A + 2 B ⇌ P + Q {(K}_{3})$
What is relationship between $K_{1}, K_{2}, K_{3}$ ?

The correct option is A $K_{3} = K_{1} \times K_{2}$
$\frac{A + B ⇌ C, K_{1} B + C ⇌ P + Q, K_{2}}{A + 2 B ⇌ P + Q} K_{1} \times K_{2}$ (on adding 1st and 2nd equation we get)

$A + 2 B ⇌ P + Q, K_{3}$

$K_{2} = K_{1} \times K_{2}$