You visited us 1 times! Enjoying our articles? Unlock Full Access!

Effective Equilibrium Constant

Two gaseous e...

Question

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}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

K_{2} = \frac{1}{K_{1}^{2}}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

K_{2} = \frac{1}{K_{1}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $K_{2} = \frac{1}{K_{1}^{2}}$
Given,
$S O_{2} (g) + \frac{1}{2} O_{2} (g) ⇌ S O_{3} (g)$

$∴ Equilibrium constant$
$(K_{1}) = \frac{[S O_{3}]}{[S O_{2}] [O_{2}]^{\frac{1}{2}}} \Rightarrow \frac{1}{K_{1}} = \frac{[S O_{2}] [O_{2}]^{\frac{1}{2}}}{[S O_{3}]} . . . (1)$

Again,
$2 S O_{3} (g) ⇌ 2 S O_{2} (g) + O_{2} (g)$
$∴ Equilibrium constant$
$K_{2} = \frac{[O_{2}] [S O_{2}]^{2}}{[S O_{3}]^{2}} = {⎡ ⎢ ⎢ ⎢ ⎢ ⎣ \frac{[O_{2}]^{\frac{1}{2}} [S O_{2}]}{[S O_{3}]} ⎤ ⎥ ⎥ ⎥ ⎥ ⎦}^{2} . . . (2)$
From equation (1) and (2), we get
$K_{2} = \frac{1}{K_{1}^{2}}$

Suggest Corrections

Similar questions

Two gaseous equilibria $S O_{2} (g) + 0.5 O_{2} (g) ⇌ S O_{3} (g)$ and

$2 S O_{3} (g) ⇌ 2 S O_{2} (g) + O_{2} (g)$ have equilibrium constants $K_{1}$ and $K_{2}$ respectively

at 298K. Which of the following relationships between $K_{1}$ and $K_{2}$ is correct

298 K

K_{1}

K_{2}

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)

K_{1}

K_{2}

S O_{2} (g) + \frac{1}{2} O_{2} (g) ⇌ S O_{3} (g)

2 S O_{2} (g) + O_{2} (g) ⇌ 2 S O_{3} (g)

K_{1}

K_{2}

K_{1}

K_{2}

K_{1}

K_{2}

S O_{2} (g) + \frac{1}{2} O_{2} (g) ⇌ S O_{3} (g) 2 S O_{3} (g) ⇌ 2 S O_{2} (g) + O_{2} (g)

S O_{2} (g) + \frac{1}{2} O_{2} (g) ⇋ S O_{3} (g)

2 S O_{2} (g) + O_{2} (g) ⇋ 2 S O_{3} (g)

K_{1}

K_{2}

K_{1}

K_{2}

Join BYJU'S Learning Program