Question

In: Chemistry

the voltage for the electrochemical cell shown below was .450 V. Pt(s)|Cd(NO3)2 (aq)(.0100M) || Cl- (aq)...

the voltage for the electrochemical cell shown below was .450 V.

Pt(s)|Cd(NO3)2 (aq)(.0100M) || Cl- (aq) | AgCl (s)| Ag(s)

The standard reduction potentials are

Cd2++2e---> Cd (s) Eo= -.402 V

AgCl+e---> Ag(s) + Cl-  Eo=.222V

Calcuate the concentration of Cl- if the cell potential was determined to be 0.605 V

Solutions

Expert Solution

Cd(s) -------------------> Cd^2+ (aq) + 2e^-    E0 = 0.402v

2AgCl(s) + 2e^- ----------> 2Ag(s) + 2Cl^- (aq)                           E0 = 0.222v

-----------------------------------------------------------------------------------

Cd(s) + 2AgCl(s) --------------> Cd^2+ (aq) + 2Ag(s) + 2cl^-        E0cell = 0.45v

n = 2

ECell   = E0cell - 0.0592/n log[Cd^2+]Cl^-]^2

0.605 = 0.45 - 0.0592/2 log0.01[Cl^-]^2

0.605-0.45 = -0.0296log0.01[Cl^-]^2

0.155       = -0.0296log0.01[Cl^-]^2

log0.01[Cl^-]^2    = -0.155/0.0296

log0.01[Cl^-]^2    = -5.24

0.01[Cl^-]^2        = 10^-5.24

0.01[Cl^-]^2     = 5.75*10^-6

     [Cl^-]^2      = 5.75*10^-6/0.01

   [Cl^-]^2        = 5.75*10^-4

   [Cl^-]          = 2.4*10^-2 M >>>>answer


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