Consider the following reactions in which all the reactants and products are in gaseous state. 2 P Q ⇋ P 2 + Q 2 ; K 1 = 2.5 × 10 5 P Q + 1 2 R 2 ⇋ P Q R , K 2 = 5 × 10 − 3 The value of K 3 for the equilibrium 1 / 2 P 2 + 1 / 2 Q 2 + 1 / 2 R 2 ⇋ P Q R Options: A . &nbsp 2.5 × 10 − 3 B . &nbsp 2.5 × 10 3 C . &nbsp 1.0 × 10 − 5 D . &nbsp 5 × 10 3

Answer: Option C : C Correct option is c). For 2 P Q ⇋ P 2 + Q 2 , K 1 = [ P 2 ] [ Q 2 ] / [ P Q ] 2 For P Q + 1 2 R 2 ⇋ P Q R , K 2 = [ P Q R ] ( [ P Q ] [ R ] 1 2 ) For the required equilibrium 1 / 2 P 2 + 1 / 2 Q 2 + 1 / 2 R 2 ⇋ P Q R K = [ P Q R ] / ( [ P 2 ] 1 2 [ Q 2 ] 1 2 [ R 2 ] 1 2 = K 2 √ K T = 5 × 10 − 3 / ( 2.5 × 10 5 ) 1 2 = 5 × 10 − 3 / 5 × 10 2 = 10 − 5

Consider the following reactions in which all the reactants and products are i

Discussion Forum : Chemical Equilibrium

Question -

Consider the following reactions in which all the reactants and products are in gaseous state.
$2 P Q ⇋ P_{2} + Q_{2}; K_{1} = 2.5 \times 10^{5}$
$P Q + \frac{1}{2} R_{2} ⇋ P Q R, K_{2} = 5 \times 10^{- 3}$
The value of K₃ for the equilibrium
$1 / 2 P_{2} + 1 / 2 Q_{2} + 1 / 2 R_{2} ⇋ P Q R$

Options:

A .

2.5 \times 10^{- 3}

B .

2.5 \times 10^{3}

C .

1.0 \times 10^{- 5}

D .

5 \times 10^{3}

Answer: Option C
:
C

Correct option is c).
For $2 P Q ⇋ P_{2} + Q_{2}, K_{1} = [P_{2}] [Q_{2}] / [P Q]^{2}$
For $P Q + \frac{1}{2} R_{2} ⇋ P Q R, K_{2} = \frac{[P Q R]}{([P Q] [R]^{\frac{1}{2}})}$
For the required equilibrium
$1 / 2 P_{2} + 1 / 2 Q_{2} + 1 / 2 R_{2} ⇋ P Q R$
$K = [P Q R] / ([P_{2}]^{\frac{1}{2}} [Q_{2}]^{\frac{1}{2}} [R_{2}]^{\frac{1}{2}} = \frac{K 2}{\sqrt{K T}} = 5 \times 10^{- 3} / (2.5 \times 10^{5})^{\frac{1}{2}} = 5 \times 10^{- 3} / 5 \times 10^{2} = 10^{- 5}$

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Discussion Forum : Chemical Equilibrium

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