(1) It was felt that the major polluters had a moral obligation to deliver on the agreements reached some years ago during a similar convention on Climate Change.
(2) The papers presented indicated that the impacts of current warming are much more severe than previously understood.
(3) It appears that the planet's ability to adapt to and cope with how it is being treated is fraying.
(4) For example, the acceleration of sea level rise and ocean warming, and increasing risks of reaching limits to adaptation.
(5) This is what emerged at a recent conference attended by the largest scientific community on climate science.

On reading the statements, we understand that the passage talks about the key concerns raised at a scientific conference. The passage highlights how things are worsening faster than expected, and the major polluters are morally obligated to act on the previously agreed-upon agreement. 

Statement 3 introduces us to this idea, so it should be the opening statement. Statement 5 provides context for where this idea was discussed, so it naturally follows Statement 3. Statement 2 then includes evidence supporting the idea, and Statement 4 builds on this. Statement 1 Talks about moral obligation — likely follows the alarming data in 2-4. Statement 1 serves as a general conclusion. 

The correct order should therefore be 35241.