J.R. S. answered 02/13/19
Ph.D. in Biochemistry--University Professor--Chemistry Tutor
The molecular weight is not needed to solve this problem. It would only be useful if one wanted to know the molarity of the final solution.
A 0.5% (w/v) means there is 0.5 g in 100 mls of solution. That is the definition of a 0.5% (w/v) solution.
So, to make 50 mls (one half of the 100 mls defined) you would need 0.15 g in 50 ml of solution.
To make the solution, one would weigh out 0.25 g (250 mg) of BSA and in a 50 ml volumetric flask, dissolve the powder in water and bring to the 50 ml mark. This yields 50 ml of a 0.5% (w/v) solution of BSA.