Achemistry student needs 45.00g of 4-methyl-2-pentanone for an experiment. he has available 0.50 kg of a 10.9% w/w solution of 4-methyl-2-pentanone in acetone. calculate the mass of solution the student should use.

                    0.412 Kg of Solution

Explanation:

                    To solve this problem we will first find the number of grams of solute contained by the given amount of solution as,

                      w/w%  =  weight of solute / weight of solution × 100

Solving for weight of solute,

                      Weight of solute = w/w% × weight of solution / 100

Putting values,

                      Weight of solute = 10.9 × 500 g / 100

                       Weight of solute = 54.5 g

Hence,

                  54.5 g of solute was contained by  =  500 g of solution

So,

               45.0 g of solute will be contained by  =  X g of solution

Solving for X,

                     X =  45.0 g × 500 g / 54.5 g

                      X =  412.84 g

Or,

                     X  =  0.412 Kg of Solution