Step-by-step explanation:
We have to find the volume of a 1.5 M solution of HCl that we can make with 45 g of HCl.
The molarity of a solution is defined like this:
Molarity = moles of solute/(volume of solution in L)
We already know the molar concentration and the volume is our unknown.
volume = ?
molarity = 1.5 M
The solute of our solution is going to be HCl and we can convert the grams of it into moles using its molar mass.
molar mass of H = 1.01 g/mol
molar mass of Cl = 35.45 g/mol
molar mass of HCl = 1 * 1.01 g/mol + 1 * 35.45 g/mol
molar mass of HCl = 36.46 g/mol
moles of HCl = 45 g * 1 mol/(36.46 g)
moles of HCl = 1.23 mol
Finally we can replace these values in the molarity formula and solve it for the volume to get the answer to our problem.
Molarity = moles of HCl/(volume of solution)
volume of solution = moles of HCl/(molarity)
volume of solution = 1.23 moles/(1.5 M)
volume of solution = 0.82 L
Answer: We will need to use 0.82 L.