Can a acer aspire 5920 play empire total war

I'll assume this is what your computer has.

• Intel Core 2 Duo mobile processor T7300
• 2 GB of DDR2 667 MHz memory, upgradeable to 4GB using two soDIMM modules (dual-channel support)
• NVIDIA GeForce 8600M GT with up to 1GB of TurboCache technology (256 MB of dedicated GDDR2 VRAM, up to 768 MB of shared system memory)

These are the game requirements.

• CPU: 2.6Ghz single core processor
• RAM: 1GB RAM (2GB for Vista)
• Graphics: a DirectX 9.0c card with 256mb RAM

You meet the requirements, you should be able to run it with fair graphics settings and fair loading times.