A chemist must dilute of aqueous silver perchlorate solution until the concentration falls to . He'll do this by adding distilled water to the solution until it reaches a certain final volume. Calculate this final volume, in liters. Round your answer to significant digits

The given question is incomplete, the complete question is:

A chemist must dilute 54.1 mL of 20.2 M aqueous silver perchlorate (AgC102) solution until the concentration falls to 3.00 M. He'll do this by adding distilled water to the solution until it reaches a certain final volume. Calculate this final volume, in liters. Round your answer to 3 significant digits.

The correct answer is 0.364 L.

Explanation:

A solution is made less concentrated by diluting it with a solvent. There is no change in the number of moles when more solvent is added to the solution. In case, if the solution is diluted from V1 to V2, a change is noticed in the molarity of the solution based on the given equation,

M1V1 = M2V2

In the given case, the V1 or the volume of the original solution is 54.1 ml, M1 or the molarity of the original solution is 20.2 M.

The M2 or the molarity of the diluted solution is 3.00 M, there is a need to find the V2 or the volume of the diluted solution.

Now by putting the values in the equation we get,

= 20.2M * 54.1 ml = 3.0 M * V2

V2 = 364.27 ml

It is known that 1000 ml is equivalent to 1L, therefore, 1 ml = 0.001 L

Now, the value of V2 will be,

= 364.27 * 0.001 L = 0.36427 L or 0.364 L