At 25°C molar conductance of 0.1 molar aqueous solution of ammonium hydroxide is $9 .54 {ohm}^{- 1} {cm}^{2} {mol}^{- 1}$ and at infinite dilution its molar conductance is $238 {ohm}^{- 1} {cm}^{2} {mol}^{- 1}$ The degree of ionisation of ammonium hydroxide at the same concentration and temperature is

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4.008%

40.800%

2.080%

20.800%

answer is C.

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Detailed Solution

Degree of dissociation, $α = \frac{Λ_{m}^{c}}{Λ_{m}^{\circ}}$
where $Λ_{m}^{c}$ = molar conductivity at given concentration
$Λ_{m}^{\circ}$ = molar conductivity at infi nite dilution
$α = \frac{9.54}{238} = 0, 04008 = 4.008 %$

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