bmw318be,
It really depends on the concentration and temperature of the sulfuric acid that you want to pump. For example, carbon steel would be a fine material of construction for sulfuric acid piping if the sulfuric acid is 94%-98% concentration and <100°F as sulfuric acid within that range isn't very corrosive to steel. However, I wouldn't recommend this material for a pump, even if your acid is within that range. The reason being is that sulfuric acid likes to act a little strange when higher velocities/higher turbulence is involved. The corrosion rate of steel by sulfuric acid is greatly increased in high velocity/turbulent regions, especially at higher temperatures. And I'm not talking about erosion due to the higher velocities/turbulence, the corrosion of the metal in a high velocity/turbulent region is notably more prominent than the 94%-98% sulfuric acid in a lower velocity/less turbulent region.
I have a system that circulates ~100°F 94%-98% sulfuric acid through carbon steel pipes. Recently we started having issues of leaks forming in the pipe elbows. Ultrasonic thickness readings of the pipe showed the pipe to be in good condition, but visual inspection of the elbows showed that they were seeing a significantly higher corrosion rate (again corrosion, not erosion) than the rest of the piping system. Upon further research I came across the studies that showed how velocity/turbulence affected the corrosion rate of sulfuric acid on steel.
So, in conclusion, the wet end of a centrifugal pump is a very turbulent region, so that become important when selecting a material of construction for sulfuric acid. I have had success with both Alloy 20 and Hast. C in turbulent 94%-98% sulfuric acid service (~100°F). As for 316L (CF3M when cast) I have no experience with it in said service, but it is possible, that it may see issues with high velocity/turbulent sulfuric acid, when typically it would not any other time.
I have also attached a link to a PDF version of the NorFalco Sulfuric Acid Handbook that may be of use to you, either now or possibly in the future. However, it does not mention the velocity effect on corrosion rate, so keep that in mind when reading their corrosion charts, additional research may still be needed.
And finally to ccfowler's point, non-metallic pumps/systems should also be considered, as they could result in a cost savings. Also, make sure to consider how you plan on sealing the pump, you may want to consider a mag-drive pump in this service as well, but understand there are pros and cons to everything and there is usually never a "perfect" solution to every problem.
I hope sharing my experience has helped. Good luck.