Question

The ionic conductance of $B{a^{2 + }}$ and $C{l^ - }$ are respectively 127 and 76$\Omega - c{m^2}$ as infinite dilution. The equivalent conductance (in $\Omega - 1c{m^2}$) of $BaC{l_2}$ ​at infinite dilution will be what?
A.101.5
B.203.5
C.139.5
D.279.5

Answer 1

Hint: Ionic conductivity (indicated by $\lambda $) is a proportion of a substance's propensity towards ionic conduction. This includes the development of a particle starting with one site then onto the next through imperfections in the precious stone cross section of a strong or watery arrangement. Ionic conduction is one component of current.

Complete step by step answer:
Kohlrausch law:
"At endless weakening, when separation is finished, every particle makes a clear commitment towards identical conductance of the electrolyte independent of the idea of the particle with which it Is related and the estimation of comparable conductance at limitless weakening for any electrolyte is the amount of the commitment of its constituent particles", i.e., anions and cations.

The substance condition is,
$BaC{l_2} \to B{a^{2 + }} + 2C{l^ - }$
${\lambda ^0}_{BaC{l_2}}$ = ${\lambda ^0}_{B{a^{2 + }}} + 2C{l^ - }$
Let us substitute the values that are given to us in the question. And after the substitution we get the following value:
= $127 + 2 \times 76$
= 279 $oh{m^{ - 1}}c{m^2}mo{l^{ - 1}}$
Equal conductivity = $\dfrac{{279}}{2}$ $ = 139.5oh{m^{ - 1}}c{m^2}e{q^{ - 1}}$

So the answer is option C.

Additional Information:
The equivalent conductance of an electrolyte is characterized as the conductance of a volume of arrangement containing one identical load of disintegrated substance when put between two equal anodes one $cm$ separated, and sufficiently enormous to contain between them the entirety of the arrangement. Λ is never decided legitimately, however is determined from a particular conductance. A unit of specific conductance is $S{m^{ - 1}}$ or $Sc{m^{ - 1}}$, so the unit of Equivalent Conductance is $Sc{m^{ - 1}}$ or $mhoc{m^{ - 1}}$.

Note:
Water in its unadulterated state is known to have extremely low conductivity because of the presence of hydroxyl particles. The presence of electrolytes further improves the conductivity as they outfit their particles in the arrangement.