Question

The resistance of decinormal solution of a salt occupying a volume between two platinum electrodes 1.80 cm apart and 5.4 $c{m}^2$ area was found to be 32 ohm. Calculate ${\wedge }_{eq}$.

• A. $114.1Sc{m}^{2}e{q}^{-1}$
• B. $124.1Sc{m}^{2}e{q}^{-1}$
• C. $104.1Sc{m}^{2}e{q}^{-1}$
• D. $134.1Sc{m}^{2}e{q}^{-1}$

Answer 1

The correct option is C $104.1Sc{m}^{2}e{q}^{-1}$

Given R = 32 ohm, $l=1.80cm,a=5.4c{m}^2$
$k=\frac{1}{R}=\frac{1}{R}\times \frac{1}{a}=\frac{1}{32}\times \frac{1.8}{5.4}=0.01041S{m}^{-1}$
${\wedge }_{eq}=\frac{k\times 1000}{N}=\frac{0.01041\times 1000}{0.1}=104.1Sc{m}^{2}e{q}^{-1}$