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Question

Chemistry Question on Thermodynamics

The standard Gibbs free energy change (ΔG)(\Delta G^\circ) at 25^{\circ}C for the dissociation of N2O4(g)N_2O_4(g) to NO2(g)NO_2(g) is (given, equilibrium constant = 0.15,R=8.314J/K/mol)0.15, R = 8.314 \, J/K/mol)

A

1.1kJ1.1 \,kJ

B

4.7kJ4.7 \,kJ

C

8.1kJ8.1\, kJ

D

38.2kJ38.2\, kJ

Answer

4.7kJ4.7 \,kJ

Explanation

Solution

ΔG=2.303RTlogK\Delta G^{\circ}=-2.303 \,R T \log K =2.303×8.314×298×log0.15=-2.303 \times 8.314 \times 298 \times \log 0.15 =2.303×8.314×298×(0.82)=-2.303 \times 8.314 \times 298 \times(-0.82) =4678.7J=4.67kJ=4678.7 \,J =4.67\, kJ