What was found
DURING CLIMB THROUGH FL250, SELECTED ANTI ICE ALL ON. AFTERWARDS WE BEGAN TO SMELL AN ABNORMAL ODOR CONSISTENT WITH BURNING. AFTER ASKING EACH OTHER ABOUT IT, WE RECEIVED A BLD AIR O'TEMP R AMBER CAS MESSAGE. COMPLETED THE QRH, & ODOR DISSIPATED AND CAS MESSAGE WENT OUT & DID NOT RETURN. HIGHEST ALTITUDE CLIMBED WAS FL270. ELECTED TO LEAVE ANTI-ICE ON UNTIL WERE SURE DIDN'T NEED IT FOR THE REMAINDER OF THE FLIGHT. DIVERTED TO LAS. REMOVED FROM ACFT & FROM SERVICE THE RH FWD PRECOOLER TEMP CONTROL SENSOR (TT004) DUE TO A "BLD AIR O'TEMP R" AMBER CAS. MSG. DURING FLT. THEN INSTALLED IAW THE AMM 36-10-45, A NEW, CUSTOMER SUPPLIED, RH FWD PRECOOLER TEMP CONTROL SENSOR (TT004). CONDUCTED REQUIRED LEAK & FUNCTIONAL TEST, NO FAULTS NOTED.