Consider the following reactions in which all the reactants and the products are in gaseous state. 2 P Q ⇌ P 2 + Q 2 ; K 1 = 2.5 × 1 0 5 P Q + 1 / 2 R 2 ⇌ P Q R ; K 2 = 5 × 1 0 - 3 The value of K 3 for the equilibrium 1 / 2 P 2 + 1 / 2 Q 2 + 1 / 2 R 2 ⇌ P Q R is

Question

Consider the following reactions in which all the reactants and the products are in gaseous state. 2 P Q ⇌ P 2 + Q 2 ; K 1 = 2.5 × 1 0 5 P Q + 1 / 2 R 2 ⇌ P Q R ; K 2 = 5 × 1 0 - 3 The value of K 3 for the equilibrium 1 / 2 P 2 + 1 / 2 Q 2 + 1 / 2 R 2 ⇌ P Q R is, 2.5 × 1 0 3, 5 × 1 0 3, 5 × 1 0 - 3, 1.0 × 1 0 - 5

MARKS App · Accepted Answer

Given , 2 P Q ⇌ P 2 + Q 2 ; K 1 = [ P 2 ] [ Q 2 ] [ P Q ] 2 = 2.5 × 1 0 5 P Q + 1 / 2 R 2 ⇌ P Q R ; K 2 = [ P Q R ] [ P Q ] [ R 2 ] 1 / 2 = 5 × 1 0 - 3 For the required equilibrium 1 / 2 P 2 + 1 / 2 Q 2 + 1 / 2 R 2 ⇌ P Q R ; K 3 = [ P Q R ] [ P 2 ] 1 / 2 [ Q 2 ] 1 / 2 [ R 2 ] 1 / 2 K 3 = K 2 × 1 K 1 = 5 × 1 0 - 3 × 1 2.5 × 1 0 5 = 5 × 1 0 - 3 0.5 × 1 0 3 = 1 × 1 0 - 5

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