ΔG° for the reaction is 5.47kJ mol⁻¹.
The energy that a substance has available for utilization in a chemical reaction or transformation is known as the Gibbs free energy. Things frequently change into other things that have less Gibbs free energy. The Gibbs free energy change indicates whether a chemical reaction will take place spontaneously or not.
By using the formula;
ΔG° = −RTlnKp
Where,
R = 8.3Jk⁻¹mol⁻¹
T = Temperature = 427 + 273 = 700 K
Kp = 8×10⁻⁵(given)
Substituting the value, we get,
ΔG° = −8.3 × 700 × ln(23×10⁻⁵)
ΔG° = −8.3 × 700 × (ln(2³)+ln 10⁻⁵)
= - 8.3 × 700 × (ln(2³)+ln 10⁻⁵)
= − 8.3 × 700 × (2.07−11.5)
=5.47×10⁴Jmol¹
=5.47kJ mol⁻¹
Therefore, ΔG° for the reaction is 5.47kJ mol⁻¹.
Learn more about Gibbs free energy here:
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