What is the maximum charging current, that can be given to a 12V, 2.5Ah Lead-acid battery? Any standard equation is there? What is the reason? Whether the condition is the same for Li-ion battery?
As far as I know, the optimal charge current rate for lead-acid battery is in between 10-30% of its nominal capacity. (2,5Ah -> 0,25-0,75A)The higher the charge current, the higher the degradation of the battery especially over the recommended limit. You may apply higher charging currents sacrificing the cyclical lifespan of the given battery.
The phenomena is quite similar to Li-ion. It can tolerate about 2C continuous charging current but C/5 - C/10 is very friendly and longer its lifetime if you have time to wait.
High charging currents can cause a lot of effects just to mention some of them: increased inner cell resistance that can lead to overheating, gas evolving and deposition of "electrode-poisoning" side-products etc. The electrode structure can be also cracked due to the intensive ion movements.