The Stamford Bridge game made it six wins for Liverpool making the Merseyside team favourite to clinch the English premier league title once again.
First half goals from Arnold and Firmino did just enough to see the reds to a consecutive season opener of six match victories securing three points for the visitors.
Joel matip made more clearances than any player in the game making at least 9 clearances to ensure the victory of Liverpool at Stamford Bridge.
Kante mounted pressure on the reds putting a goal back for the hosts in the 70th minute but was not enough to get a point for the Blues.
Chelsea have so far played six epl games won two, drawn two and lost two and curently ranked 11th on the English premier league table.