It is a little sloppy, to be sure, but chemists do use the term molecular mass and molecular weight, as synonymous. This is not to say, that an item's weight and mass are equivalent.
FWIW, the SI units for mass is actually, grams. Since weight is defined as mass times force of gravity, we use, IIRC, newtons. Recently, I mentioned in another thread, for those stuck in the Imperial measurement system, lbs. is the units for weight, the units for mass, is the slug. Which I always found really funny.
But all this has no bearing at all, on the original problem.