Together with Marlon Samuels, who was dropped on 14 by Paul Collingwood off his own bowling on his way to 77, he put on 175 for the third wicket in 34 overs.
Chanderpaul's hundred was only his seventh in 219 one-day inetrnationals.
England's bowling appeared to have significantly weakened by their decision to omit spinner Monty Panesar.
|Chanderpaul scored his seventh |
one-day hundred [AFP]
Without a frontline spin bowler - Panesar's replacement Michael Yardy was given just six overs - their attack lacked variety and control.
England were 30 for two inside seven overs after Alastair Cook holed out to mid-off against Daren Powell and Ian Bell, on his Warwickshire home ground, was lbw to Rampaul although the ball appeared to be going over the top.
Matt Prior and Kevin Pietersen then played some typically aggressive shots as England reached fifty.
But when Pietersen was out for nine, bowled middle-stump by Rampaul, England were 64 for three and struggling.
Prior completed a 71 ball-fifty but two balls late he chipped Daren Powell to Devon Smith.
Eight balls after that England were 117 for five as Collingwood, who had just avoided a Fidel Edwards bouncer the previous delivery, was lbw for one to a full-length ball from the quick.
Owais Shah and Yardy shared a stand of 54 without threatening the run-rate before the latter pulled Dwayne Bravo to Dwayne Smith at deep square leg.
And the game was up for England when 171 for six became 172 for seven after Shah, on 45, edged a pull off Rampaul to wicket-keeper Denesh Ramdin.
The series concludes at Trent Bridge on Saturday.