Consider the cell reaction, at 300 K A (s)+ B ²⁺(a q) A ²⁺(a q)+ B (s) Its E ^ is 1.0 V . The _ r H ^ of the reaction is -163 ~kJ ~mol ⁻¹ . What is _ r S ^ (in J K ⁻¹ ) of the reaction? ( F =96500 C ~mol ⁻¹ )

Step-by-step solution

Given, aligned & E ^ =1.0 ~V & _ r H ^ =-163 ~kJ ~mol ⁻¹ & n =2 & ~T =300 k & G ^ =- nFE ^ & =-2 96500 1.0 & =193000 CV [1 ~J =1 CV ] & = 193000 1000 ~kJ [1 ~kJ =10^3 ~J ] & G ^ =193 ~kJ & G = H - T ~S & or, S = H - G ~T & S= -163+193 300 = 30 300 =0.1 ~kJ ~K ⁻¹ & ~S =0.1 10^3 JK ⁻¹ & ~S =100 JK ⁻¹ aligned