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How many liters of solution would need to be used to make a 1.5 M solution of HCI if we had 45g of HCI?

User Ethree
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1 Answer

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16 votes

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.

User Doggo
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