Marcelo Bielsa's Whites took an early lead through Patrick Bamford but Blues goals from Olivier Giroud, Kurt Zouma and Christian Pulisic sent Frank Lampard's side top of the league.
Graham Smyth, the YEP's chief football writer, hands out the scores.
1. Illan Meslier
8 - Could do little with any of the goals, made some very big stops including an impressive double-save. Photo by Bruce Rollinson.
2. Luke Ayling
6 - Got forward in the first half to help give Leeds a dangerous look on the right but was pinned back for much of the second. Photo by Daniel Leal-Olivas - Pool/Getty Images.
3. Liam Cooper
6 - He and his defence struggled to deal with corners, tripped accidentally for the second goal. Had to coach Llorente through the performance. Made some important challenges on the ground and in the air. Photo by Mike Hewitt/Getty Images.
4. Robin Koch
N/A - Only lasted nine minutes. Was struggling before he went down and couldn't continue.
Photo by Daniel Leal-Olivas - Pool/Getty Images.
5. Gjanni Alioski
5 - Needed to be better in possession against a side so good at breaking with pace. Given a hard time by the double act of Ziyech and James.
Photo by MATTHEW CHILDS/POOL/AFP via Getty Images.
6. Kalvin Phillips
6 - More effective in the first half than the second, when Chelsea really got a hold on the middle of the park. His assist was glorious. Picture by Mike Hewitt/PA Wire.