The answer can vary greatly from one shooter to the next. Many factors such as how hot of load you run, IF you're going to push over the 4000fps all the time, it'll take fewer shots, and IF you shoot enough consecutive shots that you get the barrel hot over and over, it won't take long to burn the barrel, and IF you don't clean the barrel on a regular basis, probably will also shorten the barrel life.
BUT IF you run your loads down in the 3700 fps range, don't over heat the barrel, and if you take proper care of the barrel, it should last for a few thousand rounds, much like a .220 swift or the 22-250 will.