Consider the following reactions in which all the reactants and the products are in gaseous state. 2PQ leftharpoons P2+Q2;K1=2.5× 105 PQ+1/2R2 leftharpoons PQR;K2=5× 10- 3 The value of K3 for the equilibrium 1/2P2+1/2Q2+1/2R2 leftharpoons PQR is

Question

Consider the following reactions in which all the reactants and the products are in gaseous state. 2PQ leftharpoons P2+Q2;K1=2.5× 105 PQ+1/2R2 leftharpoons PQR;K2=5× 10- 3 The value of K3 for the equilibrium 1/2P2+1/2Q2+1/2R2 leftharpoons PQR is (A) 2.5× 103 (B) 5× 103 (C) 5× 10- 3 (D) 1.0× 10- 5

Tardigrade Admin · Accepted Answer

Given , 2PQleftharpoons P2+Q2; K1=([. P2 ]. [. Q2 ]./[. P Q ].2)=2.5× 105 PQ+1/2R2leftharpoons PQR; K2=([. P Q R ]./[. P Q ]. [. R2 ].1 / 2) =5× 10- 3 For the required equilibrium 1/2P2+1/2Q2+1/2R2 leftharpoons PQR; K3=([. P Q R ]./[. P2 ].1 / 2 [. Q2 ].1 / 2 [. R2 ].1 / 2) K3=K2× √(1/K1) =5× 10- 3× √(1/2.5 × 1 05)=(5 × 1 0- 3/0.5 × 1 03) =1× 10- 5

Q. Consider the following reactions in which all the reactants and the products are in gaseous state.

$2 PQ ⇌ P_{2} + Q_{2}; K_{1} = 2.5 \times 1 0^{5}$

$PQ + 1/2 R_{2} ⇌ PQR; K_{2} = 5 \times 1 0^{- 3}$

The value of $K_{3}$ for the equilibrium

$1/2 P_{2} + 1/2 Q_{2} + 1/2 R_{2} ⇌ PQR$ is

$2.5 \times 1 0^{3}$

$5 \times 1 0^{3}$

$5 \times 1 0^{- 3}$

$1.0 \times 1 0^{- 5}$

Q. Consider the following reactions in which all the reactants and the products are in gaseous state. 2PQ⇌P2​+Q2​;K1​=2.5×105 PQ+1/2R2​⇌PQR;K2​=5×10−3 The value of K3​ for the equilibrium 1/2P2​+1/2Q2​+1/2R2​⇌PQR is

2.5×103

5×103

5×10−3

1.0×10−5

Q. Consider the following reactions in which all the reactants and the products are in gaseous state.

$2 PQ ⇌ P_{2} + Q_{2}; K_{1} = 2.5 \times 1 0^{5}$

$PQ + 1/2 R_{2} ⇌ PQR; K_{2} = 5 \times 1 0^{- 3}$

The value of $K_{3}$ for the equilibrium

$1/2 P_{2} + 1/2 Q_{2} + 1/2 R_{2} ⇌ PQR$ is

$2.5 \times 1 0^{3}$

$5 \times 1 0^{3}$

$5 \times 1 0^{- 3}$

$1.0 \times 1 0^{- 5}$