Chelsea scored the only goal to progress to the next level. Kante long range goal ensured that Chelsea were more superior that the 10- Man United.
Chelsea will be facing their current opponent who also occupy the second position in the battle for the premier league cup.
Chelsea and Spurs met at the same stage in 2012 when the Blues ran out 5-1 winners through goals from Didier Drogba, Juan Mata, Ramires, Frank Lampard and Florent Malouda.
Arsenal will face Manchester City as Chelsea take on Tottenham in this year's FA Cup semi-finals after the draw was made on Monday night.
The clubs boast 32 FA Cup wins between them, with Arsenal leading the way with 12.
Arsenal and City have met just twice before at any stage in the competition, the most recent of which was a 2-1 fifth-round win for the Gunners in 1971.
City were the first team to progress with a comfortable 2-0 victory at Middlesbrough on Saturday before Arsenal ended Lincoln's fairy tale with a 5-0 demolition at the Emirates later in the day.
Spurs ensured this year's last four will be an exclusively Premier League one as they smashed six past Millwall at White Hart Lane on Sunday.
The ties will be played on Saturday, April 22 and Sunday, April 23 with the final to take place at Wembley on Saturday, May 27. Kick-off times will be decided closer to the time as will TV coverage.
United were looking to defend the trophy they won in May thanks to an extra-time winner from Jesse Lingard against Crystal Palace.
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