Call of Duty Black Ops was released back in 2010 so most PCs purchased within the last 3-4 years or so should have no problem running the game. Below are the minimum and recommended PC system requirements to play Call of Duty: Black Ops.

Minimum Call of Duty: Black Ops System Requirements

Spec Requirement
Operating System Windows XP or newer
CPU Intel® Core™2 Duo E6600 or AMD Phenom™ X3 8750 or better
RAM 2 GB
Video Card NVIDIA® GeForce® 8600GT / ATI Radeon® X1950Pro or better w/ 256MB RAM and Shader 3.0
HDD Space Required 12 GB