AN ACR FLC TOOK OFF ON THE PARALLEL TXWY F AT PIT IN 800 FT RVR WX. THE TKOF WAS PERFORMED WITHOUT INCIDENT AND THERE WAS APPARENTLY NO OTHER TFC IN THE AREA.

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ON TAXI OUT OF PIT TO RWY 10R IN 800 FT RVR CONDITIONS. WE WERE CLRED FOR TKOF. AT THAT TIME WE TURNED AT WHAT WE THOUGHT WAS THE END OF THE RWY BUT WAS ACTUALLY TXWY W ABOUT 800 FT FROM THE END. AS TKOF PWR WAS SET AND THE ROLL STARTED; THE TWR ADVISED US THAT WE WERE AT TXWY W. THE CAPT ELECTED TO CONTINUE THE TKOF AS THERE WAS OVER 10000 FT OF RWY REMAINING. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: THE RPTR IS NOT TOO FAMILIAR WITH THE ARPT AT PIT. HE SAID THAT HE HAS NOT TAKEN OFF FROM RWY 10 MORE THAN ONCE OR TWICE BEFORE THIS. ON THIS DAY HE WAS ORIGINALLY ASSIGNED RWY 10C FOR TKOF; BUT THERE WAS NO RVR READING ON RWY 10C SO AT THE LAST MIN THE CREW WAS TOLD TO USE RWY 10R. THE RVR WAS 800 FT DURING TAXI. THE FLC THEN CALLED OPS TO GET NEW TKOF DATA BASED ON A RWY 10R TKOF WHILE ATTEMPTING TO TAXI TO THE RWY IN THE FOG. THE RPTR SAID THAT HE FELT VERY RUSHED TO ACCOMPLISH HIS DUTIES AND ASSIST THE CAPT IN FINDING TXWY W. HE RECALLS ACCEPTING RWY 10R FROM INTXN TXWY W FOR TKOF. THE OPS PERSONNEL SENT THE NEW DATA WHICH HE COPIED AND THE CAPT TURNED ONTO WHAT HE THOUGHT WAS RWY 10R. SINCE THEY HAD BEEN CLRED FOR TKOF; THEY VERIFIED THE DATA AND STARTED THEIR ROLL. THE TWR SAID THAT 'I ASSUME THAT YOU KNOW THAT YOU ARE ON THE TXWY.' THE FLC CONTINUED THE ROLL. THE RPTR SAID THAT SINCE THEY WERE THE ONLY ACFT MOVING ON THE FIELD AND THERE WAS 10000 FT OF RWY/TXWY AVAILABLE IT WAS SAFE. THE RPTR SAID THAT NOTHING FURTHER WAS SAID AND HE HAS HEARD NOTHING FROM THE COMPANY OR FROM THE FAA.