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Question

Each of the two platinum electrodes having area 64 mm2 of a conductivity cell are separated by 8 mm. The resistance of the cell containing 7.5×103 M KCl solution at 298 K is 1250 ohm. Calculate :
(i) Cell constant
(ii) Conductivity and
(iii) Molar conductivity

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Solution

Area =64mm2=0.64sq.cm

Distance =8mm=0.8cm

Resistance =1250Ω

Concentration =7.5×103M

i) Cell constant =DistanceArea=0.80.64=1.25cm1

ii) Conductivity K=1ρ

ρ=RAl=1250×0.640.8=1000

k=1ρ=11000=103Scm1

iii) Molar conductivity =k×1000morality=103×10007.5×103

=133.33cm2mol1

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