Dave
This is a very difficult question to answer.
My suggestion is to get onto the Sterling Products website and read each segment.
http://www.sterling-power.comYears back the Ambulance service got into dire straights as their standard method of charging leisure batteries on board to run equipment wasn't working and hence putting patients lives at risk.
According to them (Sterling) an alternator is good at suppling your vehicle's power requirements but not good for charging batteries. The bottom line is that they ripped out all the standard alternator and split charge relay equipment and replaced it with a more sophisticated system that mimics multistage charging required by leisure batteries.
But for our requirements this is 'overkill' and far too expensive.
So in direct answer to your question, an alternator on a standard split charge relay will only ever top up or replace some charge in your leisure battery, but will never fully charge it. (I once read somewhere on an Australian motorhome website that it would take a drive of 750 miles to charge it - but can't find it now.)
Our experience over the last 6 years seems to bear this out. Most of our work is within a 6 mile radius of home but we do have a day where we travel further afield, a round trip of about 25 miles. During this time we have never had a fully charged leisure battery done by the van's alternator on either of our vehicles. (Citroen Relay and Peugeot Partner). We fully charge each of the batteries every couple of days with a proper multistage leisure battery charger. The one I use is supplied by Tanya, is a 10amp intelligent multistage charger for motorhome use and can sometimes be on for 2 - 3 hours.
I had to replace the Leisure battery in my Relay van about 6 months ago as it wasn't holding a charge for a days work, but was able to get by with running the engine to supplement the charge and on idle would still run 2 Shurflo pumps.
I have a theory.
If you estimate your pump runs 4 hours during an average working day, then in theory it will use about 24 amps if it draws a current of 6amps. So if your leisure battery is a 110 amp one, in theory you will have 86 amps left in the battery at the end of the day.
I have a 30amp split charge relay protected by 15 amp fuses which have never blown in 4 years. So even when the old battery was flat, the charging current to the leisure battery never exceeded 15 amps, because if it did, then the fuse would have blown. Lets say my battery is being recharged by the van at 10amps it would take about 2.5 hours of driving to replace the used power, again in theory. And again, if it was charging at 15 amps then it would still take 1.5 hours to recharge it.
It's more complicated than this though as a battery will need less charging current as it becomes more fully charged - liken it to a toilet cistern filling up after the toilet has been flushed.
But even if your daily drive is longer than this, your alternator will never fully charge your leisure battery as it is not capable of doing so - it was designed to charge a crank battery quickly and not the characteristics of a leisure battery charging.
Also
http://www.sterling-power.com/images/downloads/alt%202%20batt/Alternator-to-Battery%20Chargers%20and%20Remote%20Control.pdfSpruce