ACR FLC COPIED THE CORRECT SID; BUT BRIEFED AND FLEW THE WRONG SID. THE ALERT DEP CTLR INTERVENED AND VECTORED THE FLC TO THE CORRECT RTE.

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WE WERE RUNNING LATE AND IN A HURRY; ALREADY 8 HRS INTO OUR SCHEDULED 11 HR 20 MIN CREW DAY; WE WERE TRYING TO RECOVER TIME LOST EARLIER IN THE DAY. THE FO NEEDED SOMETHING TO EAT SO WHILE HE WAS GETTING DINNER I GOT OUR OUTBOUND CLRNC (USUALLY THE FO'S RESPONSIBILITY) AND READ BACK OUR CLRNC FOR THE SUMMA 5 DEP. UPON THE FO'S RETURN I BRIEFED HIM THAT WE WERE CLRED BY THE ELMMA 5 DEP. NEITHER OF US CAUGHT THE ERROR; ALTHOUGH; WHILE I WAS REVIEWING ELMMA 5 I QUESTIONED IN MY MIND THE ROUTING (I DID NOT ASK THE FO HIS OPINION OF OUR ROUTING; WHICH PROBABLY WOULD HAVE CAUGHT MY ERROR). WE DEPARTED USING THE ELMMA DEP; AND UPON MAKING OUR TURN OUT OF THE ARPT AREA; SEATTLE APCH IDENTED OUR ERROR AND ASKED IF WE WERE FLYING THE SUMMA 5. WE IMMEDIATELY REALIZED OUR ERROR AND GRACIOUSLY ACCEPTED HIS VECTOR TOWARD OUR COURSE. NO CONFLICT WITH OTHER ACFT OCCURRED AND SEATTLE DEP DID AN EXCELLENT JOB OF CTLING THE SIT. TWO UNFORTUNATELY TYPICAL THINGS CONTRIBUTED TO THIS EVENT. 1) WE (I) LET THE SCHEDULE INFLUENCE OUR DECISIONS. 2) WHEN I FIRST QUESTIONED OUR ROUTING I DID NOT VERBALIZE MY CONCERN TO THE FO. IF WE HAD SLOWED OUR PACE AND PERFORMED OUR NORMAL DUTIES THE CONFUSION WOULD HAVE BEEN AVOIDED.