Answer:
To make a 4.00 M solution, 48 moles of solute will be needed if 12.0 liters of solution are required.
Explanation:
Molar concentration or molarity is a measure of the concentration of a solute in a solution, be it some molecular, ionic or atomic species.
Molarity is defined as the number of moles of solute that are dissolved in a given volume. Then it is calculated as the quotient between the number of moles of solute and the volume of solution:
[tex]Molarity= \frac{number of moles of solute}{volume}[/tex]
Molarity is expressed in units [tex]\frac{moles}{liter}=M[/tex].
In this case:
Replacing:
[tex]4 M= \frac{number of moles of solute}{12 liters}[/tex]
Solving:
4 M*12 liters= number of moles of solute
48 moles= number of moles of solute
To make a 4.00 M solution, 48 moles of solute will be needed if 12.0 liters of solution are required.