While your computer is fairly low-spec, it looks like you've got 2.5 GHz on a couple of cores, and 4 GB of RAM. That means, and not all performance is equal, you can probably run any distro and desktop you want - with some compromises.
So, in these situations, I like to toss this link into the mixing bowl:
linux-tips.us
Now, if asked what distro I'd run on that hardware, I'd suggest Lubuntu - but I'm pretty heavily biased. But, I'd say try a variety of 'em. They'll cost you nothing but time. Then, you can decide what's right for you, what fills your needs best.
So, in these situations, I like to toss this link into the mixing bowl:

Finally, an Answer to What is The Best Linux Distro? • Linux Tips
Finally, an attempt to answer to the age old question: Which Linux distro is the best? Read on to find out which distro is the best Linux distro.

Now, if asked what distro I'd run on that hardware, I'd suggest Lubuntu - but I'm pretty heavily biased. But, I'd say try a variety of 'em. They'll cost you nothing but time. Then, you can decide what's right for you, what fills your needs best.