Calculate the electroosmotic velocity of an aqueous solution through a glass capillary 5 cm long with a 0.5 mm internal diameter under a potential difference of 100 V. The zeta potential at the capillary wall is 80 mV

Answer :

Answer:

Electroosmotic velocity will be equal to [tex]1.6\times 10^{-4}m/sec[/tex]

Explanation:

We have given applied voltage v = 100 volt

Length of capillary L = 5 mm = 0.005 m

Zeta potential of the capillary surface [tex]\xi =80mV=0.08volt[/tex]

Dielectric constant of glass is between 5 to 10 here we are taking dielectric constant as [tex]\epsilon =10[/tex]

Viscosity of glass is [tex]\eta =10^8[/tex]

Electroosmotic velocity is given as [tex]v_{eo}=\frac{\epsilon \xi }{\eta }\times \frac{v}{L}[/tex]

[tex]v_{eo}=\frac{10\times 0.08 }{10^8 }\times \frac{100}{0.005}=1.6\times 10^{-4}m/sec[/tex]

So Electroosmotic velocity will be equal to [tex]1.6\times 10^{-4}m/sec[/tex]

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