The equilibrium constant of the reaction SO2g-1-2O2g-SO3g is 4 -10-3atm -The equilibrium constant of the reaction 2SO3g-2SO2g-O2g would be -

The correct option is D 6.25 × 104atm2 SO_2(g) + 1/2 O_2 (g) ⇌ SO_3(g) ; K_1 = 4 × 10^ 3 atm^ 1/2 2SO_3(g) ⇌ 2SO_2(g) + O_2(g) ; K_2 = 1/(K_1)^2 K_2 = 1/(4 × 1 ...

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Standard XII

Chemistry

Effective Equilibrium Constant

The equilibri...

Question

The equilibrium constant of the reaction

$S O_{2 (g)} + \frac{1}{2} O_{2} (g) ⇋$ SO_3_{(g)}~is~4 \times 10^{-3}atm .The equilibrium constant of the reaction 2SO_3_(g) $⇋$ 2SO_2_{(g)}+O_2(g)\) would be :

250 atm

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4 × 10³atm

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0.25 × 10⁴atm

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6.25 × 10⁴atm²

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Solution

The correct option is D
6.25 × 10⁴atm²

$S O_{2} (g) + \frac{1}{2} O_{2} (g) ⇌ S O_{3} (g); K_{1} = 4 \times 10^{- 3} a t m^{\frac{- 1}{2}}$

$2 S O_{3} (g) ⇌ 2 S O_{2} (g) + O_{2} (g); K_{2} = \frac{1}{(K_{1})^{2}}$

$K_{2} = \frac{1}{(4 \times 10^{- 3})^{2}} = 6.25 \times 10^{4} a t m^{2}$

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The equilibrium constant of the reaction SO2(g)+12O2(g)⇋SO_3_{(g)}~is~4 \times 10^{-3}atm .The equilibrium constant of the reaction 2SO_3_(g)⇋2SO_2_{(g)}+O_2(g)\) would be :

The correct option is D 6.25 × 104atm2 SO2(g)+12O2(g)⇌SO3(g);K1=4×10−3atm−12 2SO3(g)⇌2SO2(g)+O2(g);K2=1(K1)2 K2=1(4×10−3)2=6.25×104 atm2

The equilibrium constant of the reaction

$S O_{2 (g)} + \frac{1}{2} O_{2} (g) ⇋$ SO_3_{(g)}~is~4 \times 10^{-3}atm .The equilibrium constant of the reaction 2SO_3_(g) $⇋$ 2SO_2_{(g)}+O_2(g)\) would be :