Willian was fantastic throughout against the Championship strugglers and scored the opener with a curling effort from outside the box.
A former Barca duo combined for the second as Cesc Fabregas's lofted pass freed Pedro in behind the Hull defence to slot past David Marshall.
Nigel Adkins' side missed a second-half penalty as Willy Caballero denied Republic of Ireland worldwide David Meyler following a loose Fabregas challenge on Liverpool loanee Harry Wilson.
Heading into a vital Champions League clash with Barcelona next week, Antonio Conte's charges produced a clinical performance on home soil that also saw Olivier Giroud open his account for the club. But what they did in the second half was what we were hoping to do in the first half. The most important thing is there is not the will to do this [injury].
U.S. U-20 Kyle Scott against Hull City.
Hull City head coach Nigel Adkins has admitted that in many ways the side beat themselves during our FA Cup tie with Chelsea. Yes, they took their foot off the gas, but we were much better in the second half and my players deserve credit for that.
'To win a game in the league, and then go to the next round of the FA Cup, was very important for our confidence, and to prepare in the right way for the Barcelona game. After exchanging a neat one-two with Giroud 30 yards out, he drove towards the penalty area and drilled a low shot into the bottom corner from 25 yards.
The wonderful Willian nearly completed his hat-trick late on when hitting the post from 30 yards, but Chelsea eased to victory regardless, leaving Championship strugglers Hull to focus on preventing back-to-back relegations.
We won the game comfortably after outplaying the Tigers and went into half-time with a 4-0 lead.
Scoring helps, too; Giroud took one chance and might have had a hat trick against Hull, but if Conte judged his strikers purely on goals then Michy Batshuayi, in rampant form on loan at Borussia Dortmund, would still be at Stamford Bridge. "He is fit, but I don't think Bakayoko (will be), said Conte".