3.33 $ is the cost of producing 500 mol of H₂, if the electricity is $0.06 per kilowatt-hr.
WHAT IS PRODUCTION OF H₂ GAS BY THE ELECTROLYSIS OF WATER ?
Electrolysis is a promising option for carbon-free hydrogen product from renewable and nuclear coffers. This response takes place in a unit called an electrolyze. Electrolyzes can range in size from small, appliance- size outfit that's well- suited for small- scale distributed hydrogen product to large- scale, central product installations that could be tied to other non-greenhouse-gas.
HOW DOES IT WORKS ?
Polymer Electrolyte Membrane Electrolyzes:
In a polymer electrolyte membrane (PEM) electrolyze, the electrolyte is a solid specialty plastic material.
Water reacts at the anode to form oxygen. The electrons flow through an external circuit and the hydrogen ions extensively move across the PEM to the cathode. To form hydrogen gas, hydrogen ions combine with electrons from the external circuit.
Anode
2H₂O → O₂ + 4H⁺ + 4e⁻
Cathode
4H⁺ + 4e⁻ → 2H₂
Alkaline Electrolyzes:
Electrolyzes using a liquid alkaline result of sodium or potassium hydroxide as the electrolyte have been commercially available for numerous times.
Solid Oxide Electrolyzes
Solid oxide electrolyzes, which use a solid ceramic material as the electrolyte that widely conducts negatively charged oxygen ions( O²⁻) at elevated temperatures, induce hydrogen in a slightly different way.
Brume at the cathode combines with electrons from the external circuit to form hydrogen gas and negatively charged oxygen ions.
The oxygen ions pass through the solid ceramic membrane and reply at the anode to form oxygen gas and induce electrons for the external circuit.
Number of mol of hydrogen gas produced is [tex]500molH_2[/tex].
Energy needed to produce hydrogen gas is [tex]400kJ/mol H_2[/tex].
Cost of the electricity per hour is [tex]0.06\$ /kW-h[/tex].
We calculate the cost of hydrogen product from the values of number of mol of the hydrogen, cost of electricity, and energy demanded for the hydrogen product.
[tex]500mol H_2 * \frac{400kJ}{1molH_2} * \frac{kW.s}{1kJ} * \frac{1h}{3600s} * \frac{0.06\mathdollar}{kW.s} = 3.33 \mathdollar[/tex]
Therefore, cost of hydrogen product is 3.33$.
Learn further about Production of H₂ Gas here:
https://brainly.com/question/12486771
#SPJ4
