how many grams of sucrose are needed to make 675 mL of a 37.0% (w/v) sucrose solution?

Question

 answer must be in g sucrose

Answer 1

37% (w/v) sucrose means 37 g of sucrose per 100 mls of final SOLUTION.  Thus, 

37 g sucrose/100 ml solution x 675 mls solution = 249.75 g sucrose

 

 

Answer 2

We need to know the quantity in mL of the original solution and how much sucrose it contains.

 

Let's suppose , just as an example,  due to lack of other needed data, we have only water.

 

Let X be the amount of sucrose added.

 

The amount of sucrose is:

(675-X)*0%  + X*100% = 675 * 37%

 

X = 675 * 0.37 = 249.75

 

Then we began with 675 - 249.75 = 425.25 mL of water.

 

The amount of sucrose is:

  425.25 * 0% + 249.75*100% = 249.75 = 675 * 0.37  = 675 * 37%