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Dalton's Law of Partial Pressures

2O3g⇌ 3O2gAt ...

Question

$2 O_{3} (g) ⇌ 3 O_{2} (g)$
At $300 K$ , ozone is fifty percent dissociated. The standard free energy change at this temperature and $1 a t m$ pressure is (-) $J m o l^{- 1}$ . (Nearest integer)
$[Given: \ln1.35=0.3 and R=8.3JK−1mol−1]$

747

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747.0

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

747.00

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

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Solution

$2 O_{3} (g) 1 - x ⇌ 3 O_{2} (g) \frac{3 x}{2}$
Given, x = 0.5
$∴ K_{p} = \frac{[3 (0.5)]^{3} \times 1}{[2]^{3} \times (0.5)^{2} \times 1.25}$
$∴ K_{p} = \frac{27}{8} \times \frac{0.5}{1.25} = 1.35$
$Δ G^{0} = - 2.303 R T \times log K_{p}$
$= - 2.303 \times 8.3 \times 300 \times log 1.35$
$= - 8.3 \times 300 ln (1.35)$
$= - 747 J m o l^{- 1}$

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