Question

The ionic mobility of ions at infinite dilution is related to ionic conductance by :

• A. ${\wedge }_0=Fk$
• B. ${\wedge }_{0}F=U_{+}+U_{-}$
• C. ${\wedge }_0=U_{+}+U_{-}$
• D. ${\wedge }_0=F(U_{+}+U_{-})$

Answer 1

The correct option is D ${\wedge }_0=F(U_{+}+U_{-})$

According to kohlrausch law of independent migration of ions, the molar conductivity of an electrolyte at infinite dilution is equal to the sum of the contributions of the molar conductivities of its ions.
${\Lambda }_0={\lambda }_{+}+{\lambda }_{-}$
Also the ionic conductance and ionic mobility are directly proportional to each other.
${\lambda }_{+}=F\times U_{+}{\lambda }_{-}=F\times U_{-}$
Hence,
${\Lambda }_0=F(U_{+}+U_{-})$

Hence, option D is correct.