I'm seeing problems identical to this issue, where Chrome either crashes, becomes unresponsive, or the screen goes black if I switch between tabs. Logcat shows:
OpenGLRenderer is out of memory
According to the Chromium issue, this stems from bugs in the Tegra video drivers. For the Asus Transformer, it was fixed by a system update. (I'm running the most recent ICS update on my Iconia Tab.)
Is there anything I can do to get Chrome working reliably on the A200, and is there any hope of Acer fixing their software?