Whatever exergy is supplied, part of it comes out and some of it is destroyed in one way or another. Therefore, it is not possible for it to be negative.
Side note:
More specifically in the field of desalination, some confusion regarding individual exergy values, such as that of the brine has been seen. Its value has been shown to be negative by some authors, which apparently has been found to be incorrect by Sharqawy et al. An excellent recent paper by Fitzsimons et al. on the various exergy models compares them in the context of desalination (A must read).
Thank you very much Mr. Qureshi for your kind reply. I am indeed following few of your papers too for my calculations of Exergy for a modified PRO process. There I got the {exergy IN} - {exergy OUT} to be positive for all unit operations but for the PRO process only the overall outlet exergy value (Feed + Draw) is coming out to be more than the inlet one thereby making the loss to be negative. However when I analyzed the individual stream exergies (Physical + Chemical) , the exergy of the Draw out has got an increase in value when compared to its inlet value probably dueto the increase in flow rate dueto osmotic phenomenon. The same way the Feed Exergy Out has got a decline in total exergy value when compared to the inlet Feed (dueto decrease in amount of outlet flow rate) which is correct. Any suggestions on this?