Two gaseous equilibria SO2(g) + (1/2)O2(g) leftharpoons SO3(g) and 2SO3(g) leftharpoons 2SO2(g) + O2(g) have equilibrium constants K1 and K2 respectively at 298 K. Which of the following relationships between K1 and K2 is correct?

Question

Two gaseous equilibria SO2(g) + (1/2)O2(g) leftharpoons SO3(g) and 2SO3(g) leftharpoons 2SO2(g) + O2(g) have equilibrium constants K1 and K2 respectively at 298 K. Which of the following relationships between K1 and K2 is correct? (A) K1=K2 (B) K2=K21 (C) K2 =(1/K21) (D) K2=(1/K1)

Tardigrade Admin · Accepted Answer

K1 =([SO3]/[SO2][O2]1/2) and K2=([SO2]2[O2]/[SO3]2) ; K2 = (1/K21)

Q. Two gaseous equilibria $S O_{2 (g)} + \frac{1}{2} O_{2} (g) ⇌ S O_{3 (g)}$ and
$2 S O_{3 (g)} ⇌ 2 S O_{2 (g)} + O_{2 (g)}$ 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?

$K_{1} = K_{2}$

$K_{2} = K_{1}^{2}$

$K_{2} = \frac{1}{K _{2}^{1}}$

$K_{2} = \frac{1}{K _{1}}$

$K_{1} = \frac{[ S O _{3} ]}{[ S O _{2} ] [ O _{2} ] ^{1/2}}$ and $K_{2} = \frac{[ S O _{2} ] ^{2} [ O _{2} ]}{[ S O _{3} ] ^{2}}; K_{2} = \frac{1}{K _{1}^{2}}$

Q. Two gaseous equilibria SO2(g)​+21​O2​(g)⇌SO3(g)​ and 2SO3(g)​⇌2SO2(g)​+O2(g)​ have equilibrium constants K1​ and K2​ respectively at 298K. Which of the following relationships between K1​ and K2​ is correct?

K1​=K2​

K2​=K12​

K2​=K21​1​

K2​=K1​1​