Question

Resistance of a decinormal solution of a salt occupying a volume between platinum electrodes $1.8\, cm $ apart and $5.4\, cm^{2}$ in area was found to be $32\, ohm$. Equivalent conductivity of solution in $S\, cm^{2} eq^{-1}$ is

• A. $104.1 \,S\, cm^{2}\, eq^{-1}$
• B. $10.41 \,S\, cm^{2}\, eq^{-1}$
• C. $1.041 \,S\, cm^{2}\, eq^{-1}$
• D. $1041.0 \,S\, cm^{2}\, eq^{-1}$

Answer 1

Answer: (A)

Applying, $ k = \frac{1}{R} \times\frac{l}{a}$
$ =\frac{1}{32} \times\frac{1.8}{5.4} =0.01041 S$ cm$^{-1}$
We know, $\wedge_{eq} =K \times\frac{1000}{\text{Normality}} = 0.01041 \times\frac{1000}{1/10} =104.1\,S \,cm^{2}\, eq^{-1}$