0.05 M NaOH solution offered a resistance of 31.6 Ω in a conductivity cell at 298 K. If the cell constant of the cell is 0.367 cm-1, calculate the molar conductivity of NaOH solution.
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Solution
Given:
Cell constant (b) = 0.367 cm–1
Molar concentration (C) = 0.05 M
Resistance (R) = 31.6 Ω
To find: Molar conductivity (^)
Formulae:
a. Cell constant, (b) = k x R
b. Molar conductivity (∧)=1000K/C
solution:
Cell constant, b = k x R
0.367=k x 31.6
`k=0.367/31.6=11.61 xx10^-3 Omega^-1 cm^-1`
from formula b
`"Molar conductivity" (∧)=(1000K)/C`
`=(1000xx11.61xx10^-3)/0.05`
`=232.2 Omega^-1 cm^2mol^-1`
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