NTA Abhyas JEE Main2020ChemistryChemical EquilibriumPractice
Consider the following gaseous equilibria with equilibrium constants K 1 a n d K 2 respectively. S O 2 g + 1 2 O 2 ( g ) ⇌ S O 3 ( g ) 2 S O 3 g ⇌ 2 S O 2 g + O 2 ( g ) The equilibrium constants are related as
Options
- A2 K 1 = K 2 2
- BK 1 2 = 1 K 2
- CK 2 2 = 1 K 1
- DK 2 = 2 K 1 2
Correct answer
B. K 1 2 = 1 K 2
Step-by-step solution
For the reaction, S O 2 g + 1 2 O 2 ( g ) ⇌ S O 3 ( g ) Equilibrium constant, K 1 = [ S O 3 ] S O 2 O 2 1 / 2 ...(i) For the reaction, 2 S O 3 g ⇌ 2 S O 2 g + O 2 ( g ) Equilibrium constant, K 2 = S O 2 2 [ O 2 ] S O 3 2 ...(ii) On squaring both sides in Eq.(i), we get K 1 2 = S O 3 2 S O 2 2 [ O 2 ] ...(iii) Eq. (ii) × Eq (iii), we get K 1 2 × K 2 = 1 or K 2 = 1 K 1 2 or K 1 2 = 1 K 2