Calculate emf of the cell given below:
Pt(s)| H2(g, 2 atm)|HCl (aq,0.02 M)
Eo H2/H+= 0V
(Given: 2.303RT/F= 0.059, log2= 0.3010)
For the given reaction: 1/2 H₂ + 1/2 Cl₂ ⟶ HCl + 1 e⁻
H₂ + Cl₂ ⟶ 2 HCl + 2 e⁻ [ Balanced Equation]
Now the question comes, what will be the value of emf?
To determine the value of emf you just simply have to use the Nernst Equation mentioned in the Chapter Electrochemistry in Class 12 NCERT chemistry book, which is:Ecell = E⁰cell - 2.303RT/nF Log [product]/[reactant]
Ecell = - 0.059/2 Log[HCl]²/[H₂] Given, 2.303RT/F = 0.059
Ecell = - 0.059/2 Log[0.02]²/[2] [E⁰cell = 0 V] [n = No. of electrons]
Ecell = - 0.059/2 [Log 2 x 10⁻⁴]
Ecell = - 0.059/2 [Log 2 + Log10⁻⁴]
Ecell = - 0.059/2 [0.3010 - 4]
Ecell = - 0.059/2 [-3.7]
Ecell = + 0.109 [option 1 is the correct answer]