To make a 5.00 M solution using 210.0 grams, g, of sodium chloride, NaCl, we will use the formula of volume of solution in liters is equal to mole of solute per molarity of solution, which is 0.718 L.
Molarity (M) refers to the amount of a substance in a specific volume of solution. It is defined as the moles of a solute per liters of a solution. Molarity is also known as the molar concentration of a solution.
Molarity is given by the quotient,
Molarity = moles of solute/volume of solution in liters.
Now in order to get the molarity of the solution, we have to divide the moles of solute over the liters of solution. Since we are given the mass of the solute, we must first convert the mass of NaCl into moles with the help of the molar mass of NaCl as a conversion factor.
210 NaCl x ( 1 mol NaCl/ 58.44g NaCl) = 3.59 mol NaCl.
We already have the molarity of the solution that is 5.00 M. So the solution to find out the volume will be,
Volume of solution in liters = mole of solute/ molarity of solution,
That is 3.59 mol NaCl / 5M = 0.718 L
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