# If 55 mL of 3.2 M HCl is used to make a 350 mL aqueous solution, what is the molarity of the...

## Question:

If {eq}55 \ mL {/eq} of {eq}3.2 \ M \ HCl {/eq} is used to make a {eq}350 \ mL {/eq} aqueous solution, what is the {eq}molarity {/eq} of the dilute solution?

## Dilution Formula: Fundamental Concepts

Consider a particular solution with an initial molarity {eq}c_1 {/eq} and volume of the stock solution {eq}V_1 {/eq}. If the original solution is diluted to a final volume {eq}V_2 {/eq}, its molarity can be found from the relationship {eq}c_1V_1 = c_2V_2 {/eq}. This formula is valid, since:

• Dilution only adds water to the solution
• The mass of the solute remains unchanged
• {eq}c_1V_1 = c_2V_2 {/eq} represents the fact that the moles of the solute initially and finally is exactly same

## Answer and Explanation: 1

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Given the initial solution with:

{eq}c_1 = 3.2~M\\ V_1 = 55~mL {/eq}

And the volume of the final solution:

{eq}V_2 = 350~mL {/eq}

According to...

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