How many liters of 5M solution can you make from 1.2L of 12M HCL?

2.88L

Explanation:

So lets first consider the definition of molarity.

Molarity is the amount of moles per one L of solution. So we can simply put this as:

M = moles/L of solution

So the way we are going to approach this is we need to find the amount of moles of HCl. By doing this we can then use the amount of moles we have to figure out how much 5M solution we can then make. So lets plug in what we know:

It gives us 12M of HCl so M = 12

We also have 1.2L of HCl so volume of soltion = 1.2L

Meaning we have:

So if we multiply the 1.2 over we get:

Moles: 14.4

So we used 14.4 moles of HCl in our original 12M solution.

Now we can plug this value with our 5M in instead to get our amount of solution we could form:

This gives us

5(volume) = 14.4 moles

Meaning that

Volume = 14.4/5 or 2.88L

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