The results see Chelsea climb to fourth in the standings, just ahead of Liverpool in fifth, as Arsenal continue to lead the table with 53 points from 24 matches.
The contest was a highly emotional one for The Reds, who had lost their star player Diogo Jota in a car accident way back in July. He was honoured before, during and after the match, with several Liverpool stars soaking up all the emotion and chants by fans for Jota.