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Question
A 0.05 M NH4OH solution offers the resistance of 50 ohms to a conductivity cell at 298 K. If the cell constant is 0.50 cm-1 and molar conductance of NH4OH at infinite dilution is 471.4 ohm-1 cm2 mol-1, calculate:
(i) Specific conductance
(ii) Molar conductance
(iii) Degree of dissociation
Solution
Molarity = 0.05 M
Resistance R = 50 ohms
Cell constant, `l/a = 0.50 "cm"^-1`
`A_m^∞ = 471.4 "ohm"^-1 "cm"^2 "mol"^-1`
C = `1/"R" = 1/50 "ohm"^-1`
(i)
Specific conductance,
k = conductance × cell constant
= `1/5 xx 0.50`
= `1/100 = 10^-2 "ohm"^-1 "cm"^-1`
(ii)
Molar conductance,
`A_m^c = (k xx 1000)/("Molarity")`
= `(10^-2 xx 1000)/(0.05)`
= `(10^-2 xx 10^3 xx 10^2)/(5)`
= 200 ohm-1 cm2 mol-1
(iii)
Degree of dissociation,
`α = A_m^c/A_m^∞`
`α = 200/471.4`
= 0.424
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