Chelsea vs Arsenal will end for the favour of Chelsea because, they are good in using home to challenge their opponent which they have proven it during their first game that made them to draw the game with Liverpool which they can still fall back to such tactics to frustrate Arsenal strength in this game. Arsenal will be the one looking for draw game which Chelsea will not allow it to happen than to use the right players to make the game difficult for Arsenal from the beginning to the end to achieve the winning goal 1:0 for the favour of Chelsea.
Just because it is a home match for Chelsea doesn't mean it is a winning match for Chelsea. Of late Chelsea haven't been winning their home match. Only this beginning of the season alone, Chelsea lost their home match to Nottm Forrest and Aston Villa.
Therefore, you are not to use a home match to give in favor of Chelsea when playing against Arsenal. Arsenal is in a better position to win against Chelsea even if it is a home match for Chelsea. I give the 3-point win to Arsenal, whether it is a home or away match for them.
Home advantage doesn't turn out in favour of the home team most times, so it's not proper enough to use that as a reason to think the home team will win against the visiting team, it's most likely only when the home team by all indications are better off than the team away then that way we can say the advantage is enough for the team at home to get a definite win.
In the case of Chelsea they are just beginning to pick up from their bad form since this season, and meet a team with such a sound form after two wins is most likely not a promising win, Chelsea has not really been lucky with home games this season but then let's hope this will be different and they could get something out of it but then I'm sure they would get a goal or want to steal a point from Arsenal, but then Arsenal still stand a better position to win.