Can someone advise on the temperature requirements of the CPU for a Dell Vostro 400?

I returned home to find the computer with the blue screen and a memory dump.

The ambient in the office was about 85°F.

Tried to restart it and it was so slow that Outlook wouldn't start and the blue screen returned.

Shut it down again and let it sit 30 minutes while the a/c dropped the temp. to about 76°F.

Restarted a bit slow but nothing unmanageable.

What's the deal with temperature on these things..........do they have to operate in a fully air conditioned environment at all times?