The Cell in Which the Following Reactions Occurs in Text Solution Chapter 3 Electrochemistry Chemistry Class 12 NCERT

Question 3.6: The cell in which the following reactions occurs:

Calculate the standard Gibbs energy and the equilibrium constant of the cell reaction.

Answer:Given that
n     = 2
T     = 298 K
E°cell =  0.236 V
We have the formula
∆rG^θ = – nFE°cell   
Plug the values, we get
∆rG^θ = −2 × 96487 × 0.236
∆rG^θ = −45541.86 J mol⁻¹
Divide by 100o to convert in KJ
∆rG^θ = −45.54 kJ mol⁻¹  
Use second formula of ∆rG^θ
∆rG^θ =−2.303RT log K_c
Plug the values we get
 −45541.86 J mol⁻¹ = –2.303 × 8.314 × 298  log K_c
Solve it we get
Log Kc  = 7.98
Take antilog both side, we get
Kc      = Antilog (7.98)
= 9.6 × 107