All 1997 to 2000 C5's have a very high potential for battery leakage problems. The problem isn't so much that the battery leaks, but that it leaks on the computer, wiring harness, frame and one vacuum hose for the A/C controls. The battery tray is open in the center, and will direct the acid straight onto your computer! This can become an expensive repair, and is NOT covered by any extended warranty. If your car is still under the original warranty and has the original battery it is covered! If you have not already done so, replace your battery with either a Optima Redtop Part # 8004-003 34/78 or the ACDelco AGM 78P-7YR. Make special note of the P in the part number. This is what specifies that this battery is a AGM (Absorbent Glass Mat) AGM is a newer type of battery construction that uses saturated absorbent glass mats rather than gelled or liquid electrolyte. They will not leak acid.
At some point in 2001, GM started to use the newer AGM batteries with a GM part number of 75P-7YR. The battery tray size also changed to slightly smaller size. Thus the reason that this is only an issue with earlier C5's. The Optima part number for 2001-2004 PN 8022-091 75/25 RedTop. We highly recommend these types of batteries for your C5 regardless of acid spillage. They last much longer and handle the abuse of all the G's Corvette's are known for!
A brass washer is recommended to be put on the positive battery post from GM parts dealers. The problem with the batteries is the positive battery cable's bolt acts as a puller, and will actually pull the terminal out of the battery dumping acid. While probably not needed with the AGM battery, We would still recommend it.
Every late model Corvette needs a battery charger. The newer cars have so much parasitic draw from all of the computers a perfectly new battery can be dead in less than two weeks! The Factory realized this and started providing this as an RPO option in late 2010. Get the same charger here!