Answered: An electrolyzer passes electric current…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter21: Current And Direct Current Circuits

Section: Chapter Questions

Problem 9P

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An electrolyzer passes electric current through water, dissociating some of the water molecules and thus pro-ducing hydrogen (H2) and oxygen (O2 ) gas. Electrolyzers pow-ered by renewable wind and solar energy sources could produce hydrogen for fuel-cell vehicles. In an experimental electrolyzer, current flows through a cylindrical tube of diameter 6.85 cm. The tube contains an alkaline solution that decreases the resistivity to 0.0466 Ω·m. If the tube carries 18.7 A, what are (a) the current density and (b) the electric field in the solution?

Expert Solution

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$Diameter of tube (d) = 6.85 c m Radius of tube (r) = \frac{d}{2} = \frac{6.85 c m}{2} = 3.425 c m = 0.03425 m Current (i) = 18.7 A Resistivity = 0.0466 o h m . m e t e r Conductivity = \frac{1}{r e s i s t i v i t y} = \frac{1}{0.466} = 21.46 {(o h m . m e t e r)}^{- 1}$

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