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An industrial-strength pipe cleaner has a molarity (M) of 7.0 M in a 0.60 liter container. To be safely used on the pipes in a home, the

molarity is decreased to 2.5 M. What is the solution's new volume?

The solution's new volume is 1.68 L

Explanation:

Dilution is the procedure to prepare a less concentrated solution from a more concentrated one, and simply consists of adding more solvent. So, in a dilution the amount of solute does not vary, but the volume of the solvent varies.

In summary, a dilution is a lower concentration solution than the original.

The way to do the calculations in a dilution is through the expression:

Ci*Vi=Cf*Vf

where C and V are concentration and volume, respectively; and the i and f subscripts indicate initial and final respectively.

In this case, being:

Replacing:

7 M*0.60 L= 2.5 M* Vf

Solving:

Vf= 1.68 L

The solution's new volume is 1.68 L

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