yes a 5ah battery is a longer working battery than a 4ah so it is actually better than the 4ah
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12v means it is suitable for any 12v dc current purpose the 18ah means it has an amp hour rating of 18 its a measure of how long the battery can work from full charge until it would need to be charged again ex. the bigger the ah rating the longer you could turn the starter for before the battery would run flat
can a 12v lawn mower sealed battery be charged with 12v battery charger use on cars
((135AH*12V)/600VA)*85%Efficiency=2.20Hrs
Yes, the amp hour rating gives you an idea of the capacity of the battery and charger. The charger and battery need to have the same voltages. i.e. dont try to charge a 6v battery with a 12 v charger. The battery will be charged until it is full.
On the Internet I saw a NiMH battery 12V 50 Wh for about $50 USD so ten times that $500