What was found
CLIMBING THROUGH 10,000 MSL ON TAKEOFF, A SMOKE DETECTOR IN THE CREW REST FACILITY ACTIVATED. WITH THE DOOR OPEN FROM THE COCKPIT COULD SMELL A HOT ODOR. RETURNED TO KENNEDY. UNEVENTFUL LANDING. INSPECTED A/C FOR EVIDENCE OF ANY FIRE, NONE FOUND. SUSPECT PAC O/HEAT ON CLIMBOUT AND ALT ALERT HORN WENT OFF IN CREW REST AREA AND ODOR FROM O/HEATED PAC IN CABIN. BIT CK ACC-1. FAULTED PK1 RAD ACT. REPLACED ACT AND COALESCER SOCKS. OPERATED PAC. NO ODOR AND PAC, OPS NORMAL.