This is in terms of a lead-acid battery, where the charging time and voltage are all kept constant. What kind of relationship is between these two variables? Thank you!
Dear friend Lilian Zhang
The relationship between the electrolyte concentration and the discharge time in a lead-acid battery is complex and depends on several factors such as the battery's state of charge, temperature, and current (https://www.pveducation.org/pvcdrom/lead-acid-batteries/operation-of-lead-acid-batteries). However, it is generally accepted that the discharge time of a lead-acid battery decreases as the electrolyte concentration decreases (Article Influence of electrolyte concentration on static and dynamic...
).The relationship between electrolyte concentration and discharge time can be modeled using an empirical equation called Peukert's law (https://en.wikipedia.org/wiki/Peukert%27s_law). Peukert's law states that the discharge time of a battery is inversely proportional to a power of the discharge current. The power is determined by a constant called the Peukert exponent. The Peukert exponent depends on several factors such as the battery's state of charge, temperature, and current.
Here is an example of how Peukert's law can be used to model the relationship between electrolyte concentration and discharge time in a lead-acid battery:
Suppose we have a lead-acid battery with a constant voltage and charging time. We can model the relationship between electrolyte concentration and discharge time using the following equation:
t = kC^-m
where t is the discharge time, C is the electrolyte concentration, k is a constant that depends on the battery's state of charge, temperature, and current, and m is the Peukert exponent.
The value of m depends on several factors such as the battery's state of charge, temperature, and current. For example, if m = 1.2, then a 10% decrease in electrolyte concentration would result in a 12% decrease in discharge time.
I hope this helps!
Source:
(1) Operation of Lead Acid Batteries | PVEducation. https://www.pveducation.org/pvcdrom/lead-acid-batteries/operation-of-lead-acid-batteries.
(2) Influence of electrolyte concentration on static and dynamic Lead-Acid .... https://www.researchgate.net/publication/343581977_Influence_of_electrolyte_concentration_on_static_and_dynamic_Lead-Acid_battery.
(3) Past, present, and future of lead–acid batteries | Science. https://www.science.org/doi/10.1126/science.abd3352.
(4) LEAD-ACID STORAGE CELL - MIT OpenCourseWare. https://ocw.mit.edu/courses/3-014-materials-laboratory-fall-2006/5dec48286a7eaae4c9f0af18691b897c_w3_b1.pdf.
(5) Electrolyte Concentration - an overview | ScienceDirect Topics. https://www.sciencedirect.com/topics/engineering/electrolyte-concentration.
(6) Rechargeable cells: the lead–acid accumulator - RSC Education. https://edu.rsc.org/experiments/rechargeable-cells-the-lead-acid-accumulator/391.article.
The relationship between electrolyte concentration and discharge time in a battery can be modeled using an empirical equation called Peukert's la w. Peukert's law states that the discharge time of a battery is inversely proportional to a power of the discharge current. The battery discharge time is proportional to the battery capacity with a constant. However, there is no specific equation that relates electrolyte concentration and discharge time. The overall discharge time of a battery depends on various factors such as the type of electrolyte, the thickness of the electrode, and the discharge current .The O.C.V. of a battery is directly related to the electrolyte concentration. A simple rational model is proposed for discharge of batteries with aqueous electrolytes, based on Nernst equation. However, details of electrode kinetics are not taken into account.
M Ghufron
et al 2020
J. Phys.: Conf. Ser. 1595 012012
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