1.

(a) Define the following terms: (i) Limiting molar conductivity (ii) Fuel cell. (b) Resistance of a conductivity cell filled with 0.1 mol L^-1 KCl solution is 100 Omega. IF the resistance of the same cell when filled with 0.02 mol L^-1 KClsolution is 520 Omega, calculate the conductivity and molar conductivity of 0.02 mol L^-1 KCl solution. The conductivity of 0.1 mol L^-1 KCl solution is 1.29 times 10^-2 Omega^-1 cm^-1.

Answer»

Solution :(a) (i) Limiting molar conductivity: When concentration approaches zero the conductivity is known as limiting molar CONDUCITIVITY.
(ii) Fuel cell: A fuel cells which convert the energy of COMBUSTION of fuels to electrical energy.(b) Given, cell constant =`G^@`
`= conductivity times Resistance `
`thereforeG^@=1.29S//m times 100 OMEGA`
`=129 m^-1=1.29 cm^-1`
Conductivity of `0.02 mol L^-1`, KCl solution = cell constant/resistance
`K=G^*/R=(129 m^-1)/(520 Omega)=0.248 S m^-1`
`=0.248 times 10^-2 Scm^-1`
Concentration =`0.02 mol L^-1`
`=1000 times 0.2 mol m^-3`
`=20 mol m^-3`
Molar conductivity =`A_m=K/C`
`=(248 times 10^-3 Sm^-1)/(20 mol m^-3)`
`=124 times 10^-4 S m^2 mol^-1`
`=124 S cm^2 mol^-1`


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