Most experienced monopod users report a benefit of about 2 stops or so using a monopod, verses hand held, and that is my experience.
If you use the 1/FL rule of thumb as a starting point, a 24mm lens would be good down to about 1/25s. A monopod might get you down to 1/6s.
That is a long way from 1s. It suggests thaty 1/8s is reasonable, given good technique. You have to meet or beat the averages.
The 1/FL rule of thumb is based on viewing an 8x12 uncropped print at about arms length. It is not applicable to a critical "enlarged" (zoomed in) inspection of a high res digital image. SO keep that in mind. At best the results likely will not equal a tripod, by any stretch although by shooting multiple frames you might get a very sharp "lucky catch".
Executive summary: a qualified maybe down to 1/8s with that lens
We all make those convenience/practical compromises when using a tripod in order to get the sharpest possible image. If I were to acquire a D800 I would figure on doing even more tripod mounted work in order to get all the res I'm paying for, but that is a very controversial subject that is argued here all the time.