H and S for the reaction, Ag ₂ O ( s ) 2 Ag (s)+ 1 2 O ₂( ~g ) , are 30.56 ~kJ ~mol ⁻¹ and 66.00 JK ⁻¹ ~mol ⁻¹ respectively. The temperature at which the free energy change for the reaction will be zero, is

Step-by-step solution

From the Gibb's - Helmholtz equation, G= H-T S At equilibrium, G=0 Hence, H-T S=0 or, H=T S Or, T= H S Given that, H=30.56 ~kJ ~mol ⁻¹ aligned & =30560 ~J ~mol ⁻¹ S & =66.0 ~J ~K ⁻¹ ~mol ⁻¹ T & = 30560 66.0 =463 ~K aligned