The molar conductivity of NH4Cl, OH and Cl at infinite dilution is 150, 200 and 75 , respectively. I β Electrochemistry Chemistry Question
Question
The molar conductivity of NH4Cl, OH$^β$ and Cl$^β$ at infinite dilution is 150, 200 and 75 $\Omega^{β1}\text{ cm}^2\text{ mol}^{β1}$, respectively. If the molar conductivity of a 0.01 MβNH4OH solution is 22 $\Omega^{β1}\text{ cm}^2\text{ mol}^{β1}$, then its degree of dissociation is
π‘ Solution & Explanation
$\Lambda_m^\circ(NH_4^+) = \Lambda_m^\circ(NH_4Cl) - \Lambda_m^\circ(Cl^-) = 150 - 75 = 75\ \Omega^{β1}\text{cm}^2\text{mol}^{β1}$. $\Lambda_m^\circ(NH_4OH) = \Lambda_m^\circ(NH_4^+) + \Lambda_m^\circ(OH^-) = 75 + 200 = 275\ \Omega^{β1}\text{cm}^2\text{mol}^{β1}$. Degree of dissociation $\alpha = \Lambda_m / \Lambda_m^\circ = 22 / 275 = 0.080$. Therefore, correct answer is C.