A Watt isn't a measurement of electricity usage! So you don't "use" 30W per year, you pull 30W
for a year - it's a small but critical difference
You are, however, roughly correct, in that a 1 watt difference in power rating will increase your electricity bill by £1 per year
if you run the appliance 24/7/52. Most people don't need to run their computer 24/7, so you can save a lot of energy just by turning your PC off when you go to bed
According to AMD's own figures, the *maximum* difference between the two processors is 20W, which would be at full load. Your computer is unlikely to be at full load most of the time, so the actual difference will be somewhat smaller. Also, just to confuse matters, the fact that the Athlon II X2 250 is a much better performing processor means that it will run under less load, and spend less time running at full load (if you manage to max it out!) than the 5050e, so it is less likely to pull its full power rating. This means it will be *relatively* more efficient than the 5050e - but obviously that's relative to a higher base power draw
Basically, I think it's likely to make very little difference at the bottom end now AMD have 65W dual-cores available. They are much better performance-wise than the K8 Athlons, so it's a bit of a no brainer for me - get the Athlon II X2 250. The additional power-draw will be minimal, and the performance gain will be more than worth it.
If you have the money, by all means go for this! If it's just for music why not get a netbook? You can use an external hard-drive to store your music collection and external speakers to improve the sound quality. Make sure you set the power options to turn off the monitor ASAP when it's idle, and you should have a music PC that draws virtually no power at all. Or, you know, you could just get an MP3 player....