Equilibrium Question 551
Question: Two gaseous equilibria $ S{O_{2(g)}}+\frac{1}{2}{O_{2(g)}} $ ⇌ $ S{O_{3(g)}} $ and $ 2S{O_{3(g)}} $ ⇌ $ 2S{O_{2(g)}}+{O_{2(g)}} $ have equilibrium constants $ K_1 $ and $ K_2 $ respectively at $ 298,K $ . Which of the following relationships between $ K_1 $ and $ K_2 $ is correct [CPMT 1988; CBSE PMT 1989; MP PET 1993, 95; RPMT 1999; MP PMT 2001]
Options:
A) $ K_1=K_2 $
B) $ K_2=K_1^{2} $
C) $ K_2=\frac{1}{K_1^{2}} $
D) $ K_2=\frac{1}{K_1} $
Show Answer
Answer:
Correct Answer: C
Solution:
$ K_1=\frac{[SO_3]}{[SO_2]{{[O_2]}^{{1}/{2};}}} $ and $ K_2=\frac{{{[SO_2]}^{2}}[O_2]}{{{[SO_3]}^{2}}} $ ; $ K_2=\frac{1}{K_1^{2}} $ .
