Based on the specs, I see no reason why it shouldn't work. It a SATA just like you have, but with a faster interface speed. They are both 7200 RPM, so nothing will change much except for the capacity of the drive. If you are looking to increase your storage, I would also look at the WD10EZEX. For $10 more, you would get twice the capacity of this one at 1TB. You just need to make sure you have an operating system that can handle the one terabyte drive.
I had mine for about two months and it died. I accessed it once to do a backup and the next time it failed. Dealing with Western Digital was a nightmare. They told me the drive was sold as part of a system and would not be covered by warranty at first but I kept calling them and complaining. After nearly two weeks they finally issued me an RMA for a replacement but not before I had to send them proof of purchase along with a picture of the drive label.