1) For the following electrochemical cell at 298 K, Pt(s)|H2(g,1bar)|H+(aq,1M) ||M4+(aq),M2+(aq)|Pt(s) Ecell=0.092 V when[M2+(aq)][M4+(aq)]=10x Given: E0M4+/M2+=0.15V: 2.303RTF=0.059V The value of x is A) -2 B) -1 C) 1 D) 2 Answer: Option DExplanation:Oxidation at anode H2(g)→2H+(aq)+2e−;E0SHE=0.00V Reduction at cathode M4+(aq)+2e−→M2+(aq): E0M4+/M2+=0.151V Net:M4+(aq)+H2(g)→M2+(aq)+2H+(aq): K=[M2+][H+]2[M4+]PH2(E0cell=0.151V) K=[M2+][M4+] Ecell=E0cell−0.0592logK 0.092=0.151−0.0592log[M2+][M4+] 0.059=0.0592log10x ∴log10x=2 ∴x=2