The answer is no. That HDD is for desktops.
What you need is something like this:
http://www.tigerdirect.com/applications/SearchTools/item-details.asp?EdpNo=3317097&CatId=2682Look for 2.5" HDDs for laptops. I also recommend going to support.dell.com and getting a hard drive from them, input your service tag and get an appropriate drive directly.
-Dante