
Oscar G. answered 07/09/20
Test Prep and STEM from 36-scoring Little Ivy Tutor
We know the concentration of the solution is 0.124 M of NaOH, so this tells us that there are 0.124 moles of NaOH in 1.0 liters of of solution. We want to know the volume of solution contains a certain amount of the solute (in this case 30.0 g of NaOH). Let's start by finding out how many moles of NaOH are in 30.0 g:
Molar mass of NaOH = 39.99 g/mol
30.0 g × (1 mol / 39.99 g) = 0.750 mol NaOH ------ notice I put grams in the denominator to cancel out grams and be left with moles.
Now we can set up a proportion:
0.124 mol 0.750 mol
¯¯¯1 L¯¯¯ = ¯¯¯x¯¯¯
Solve for x, and you get 6.05 L. Convert this into mL by multiplying by 1000, and your answer is 6050 mL.