In an ideal world, new equipment doesn't fail. In the real world, it does, that's why manufacturers offer a warranty. It is possible that the disk is fine, but the DNS-323 for some reason, can not communicate with it.
You can remove the disk and connect it to a PC and run the manufacturer's diagnostic to determine if it's working or not - if it is, you can then remove the partitions on it and return it to the NAS which will then see it as a new drive.