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Gibbs Free Energy & Spontaneity

Calculate Δ...

Question

Calculate $Δ G^{o}$ for the conversion of oxygen to ozone; $(3 / 2) O_{2} (g) ⇌ O_{3} (g)$ at $298 K$ , if $K_{P}$ for this conversion is $2.47 \times 10^{- 29}$ .

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Solution

Gibb's free energy is given by,

$Δ G^{o} = - 2.303 R T log K_{P}$

$= - 2.303 \times 8.314 \times 298 log (2.47 \times 10^{- 29})$

$= 163228 J / m o l = 163.228 k J / m o l$

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Similar questions

△ G^{\circ}

3 / 2 O_{2} (g) \to O_{3} (g) a t 298 K, i f K_{p}

\times

10^{- 29}

Δ G^{\circ}

\frac{3}{2} O_{2_{(g)}} \to O_{3_{(g)}}

K_{p}

2.47 \times 10^{- 29}

\frac{3}{2} O_{2} (g) ⟶ O_{3} (g)

K_{p}

2.47 \times 10^{- 29}

Δ_{r} G^{o}

Δ_{r} G^{o}

O_{2} (g) \to O_{2} (g)

K_{p}

2.47 \times 10^{- 29}

l o g_{10} 2.47 = 0.392

K_{p}

\frac{3}{2} O_{2} (g) \to O_{3} (g)

2.47 \times 10^{- 29} (a t m)^{- \frac{1}{2}} .

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