The molar conductivity of NH4Cl, OH and Cl at infinite dilution is 150, 200 and 75 , respectively. I — Electrochemistry Chemistry Question
Question
The molar conductivity of NH4Cl, OH$^–$ and Cl$^–$ at infinite dilution is 150, 200 and 75 $\Omega^{–1}\text{ cm}^2\text{ mol}^{–1}$, respectively. If the molar conductivity of a 0.01 M–NH4OH solution is 22 $\Omega^{–1}\text{ cm}^2\text{ mol}^{–1}$, then its degree of dissociation is
💡 Solution & Explanation
$\Lambda_m^\circ(NH_4^+) = \Lambda_m^\circ(NH_4Cl) - \Lambda_m^\circ(Cl^-) = 150 - 75 = 75\ \Omega^{–1}\text{cm}^2\text{mol}^{–1}$. $\Lambda_m^\circ(NH_4OH) = \Lambda_m^\circ(NH_4^+) + \Lambda_m^\circ(OH^-) = 75 + 200 = 275\ \Omega^{–1}\text{cm}^2\text{mol}^{–1}$. Degree of dissociation $\alpha = \Lambda_m / \Lambda_m^\circ = 22 / 275 = 0.080$. Therefore, correct answer is C.