Here are the Middle-earth: Shadow of Mordor System Requirements (Minimum)
CPU: Intel Core i5-750 or AMD Phenom II X4 965
CPU SPEED: Info
RAM: 3 GB
VIDEO CARD: NVIDIA GeForce GTX 460 or AMD Radeon HD 5850
PIXEL SHADER: 5.0
VERTEX SHADER: 5.0
OS: Windows 7 (64-bit only)
FREE DISK SPACE: 25 GB
SOUND CARD: Yes

Middle-earth: Shadow of Mordor Recommended Requirements
CPU: Intel Core i7-3770 or AMD FX-8350
CPU SPEED: Info
RAM: 8 GB
VIDEO CARD: NVIDIA GeForce GTX 660 or AMD Radeon HD 7950
PIXEL SHADER: 5.0
VERTEX SHADER: 5.0
OS: Windows 7 (64-bit only)
FREE DISK SPACE: 40 GB
SOUND CARD: Yes