To what volume would you need to dilute 50.0 of a 18 M H2SO4 solution to make a 3.0 M solution?

Question

Please help me solve this and also an explanation of how to would be great

Answer 1

(50.0 ml)(18 M) = (x ml)(3.0 M)

x = 300 ml Final Volume

So you would need to dilute 50 ml of 18 M to a final volume of 300 ml to get a solution that is 3 M

Answer 2

For this problem use the relationship

 

Mc*Vc = Md*Vd

 

where Mc =molarity of the concentrated solution

Vc = volume of concentrated solution

Md = molarity of diluted solution

Vd = volume of diluted solution

 

Careful reading of the problem tells us

 

Mc = 18 M

Vc = 50 mL

Md = 3.0 M

Vd = ?

 

plug in and solve for Vd.  This is the volume to which you need to dilute the concentrated solution.