# Chemistry: Dilutions

## Dilutions

Let's say that I want to make as much of a 0.100 M NaCl solution as I can, but the only thing in my stockroom is 1.50 L of a 0.450 M NaCl solution. How would I turn the 0.450 M solution into a 0.100 M solution?

I would dilute it! Dilution is the process by which a solvent is added to a solution to make the solution less concentrated. The equation we'd use for dilutions is:

- M
_{1}V_{1}= M_{2}V_{2}

##### You've Got Problems

Problem 3: How much of a 0.500 M NaCl solution would be needed to make 750 mL of a 0.125 M solution?

M_{1} is the initial molarity of the solution, V_{1} is the initial volume of the solution, M_{2} is the molarity of the solution after it has been diluted, and V_{2} is the volume after dilution.

To determine how we'd make my 0.100 M NaCl solution, we'd use the equation above, inserting the values that I know:

M_{1}V_{1} = M_{2}V_{2}

(0.450 M)(1.50 L) = (0.100 M)V_{2}

V_{2}= 6.75 L

I can make 6.75 L of a 0.100 M NaCl solution.

Excerpted from The Complete Idiot's Guide to Chemistry © 2003 by Ian Guch. All rights reserved including the right of reproduction in whole or in part in any form. Used by arrangement with **Alpha Books**, a member of Penguin Group (USA) Inc.

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