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Question: The equivalent conductivity of KCl at infinite dilution is 130 S cm2eq–1. The transport number of Cl...

The equivalent conductivity of KCl at infinite dilution is 130 S cm2eq–1. The transport number of Cl–1 ion in KCl at the same temperature is 0.505. The limiting ionic mobility of K+ ion, is

A

6.67 × 10-4 cm2 sec-1 volt-1\text{6.67 }\text{×}\text{ 1}\text{0}^{\text{-4}}\text{ c}\text{m}^{2}\text{ se}\text{c}^{\text{-1}}\text{ vol}\text{t}^{\text{-1}}

B

5.01 × 10-3 cm2 sec-1 volt-1\text{5.01 }\text{×}\text{ 1}\text{0}^{\text{-3}}\text{ c}\text{m}^{2}\text{ se}\text{c}^{\text{-1}}\text{ vol}\text{t}^{\text{-1}}

C

3.22 × 10-4 cm2 sec-1 volt-1\text{3.22 }\text{×}\text{ 1}\text{0}^{\text{-4}}\text{ c}\text{m}^{2}\text{ se}\text{c}^{\text{-1}}\text{ vol}\text{t}^{\text{-1}}

D

2.00 × 10-4 cm2 sec-1 volt-1\text{2.00 }\text{×}\text{ 1}\text{0}^{\text{-4}}\text{ c}\text{m}^{2}\text{ se}\text{c}^{\text{-1}}\text{ vol}\text{t}^{\text{-1}}

Answer

6.67 × 10-4 cm2 sec-1 volt-1\text{6.67 }\text{×}\text{ 1}\text{0}^{\text{-4}}\text{ c}\text{m}^{2}\text{ se}\text{c}^{\text{-1}}\text{ vol}\text{t}^{\text{-1}}

Explanation

Solution

λk+0=F×UK+\lambda_{k +}^{0} = F \times U_{K +} or UK+=(13065.65)96500cm2volt1sec1U_{K +} = \frac{(130 - 65.65)}{96500}cm^{2}volt^{- 1}\sec^{- 1}{}

= 6.67 × 10-4 cm2 volt-1 sec-1.\text{= 6.67 }\text{×}\text{ 1}\text{0}^{\text{-4}}\text{ c}\text{m}^{\mathbf{2}}\text{ vol}\text{t}^{\text{-1}}\text{ se}\text{c}^{\text{-1}}\mathbf{.}