If your career prospects in Qatar are better then it is fine (as Qatar is booming) else you may regret you decision with that kind of salary in Qatar. I have recently moved from Bahrain to Qatar (3 months back) but only with a substantial increment in salary.

Accomodation cost in Bahrain are 3 times cheaper besides other day to day living costs. It is very difficult to move from job to job in qatar as the labour laws are very very restrictive.

Ask for company provided accomodation (check out accomodation rates in this site) and then you'll be fine as Qatar is booming and engineers are desperately required.

I hope you've asked this question in time inorder to negotiate further.