How Do You Calculate the New Concentration of IO3- After Dilution?

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To calculate the new concentration of IO3- after dilution, the dilution formula C1V1 = C2V2 is applied. The initial concentration (C1) is 0.20 mol/L, and the initial volume (V1) is 15 mL, while the final volume (V2) after adding 5 mL of water is 20 mL. Rearranging the formula gives C2 = (C1V1)/V2, resulting in C2 = (0.20 mol/L * 15 mL) / 20 mL. This calculation shows that the concentration of IO3- in the diluted solution is 0.15 mol/L. Thus, the dilution process effectively reduces the concentration of the ion.
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How could i (mathematically) show what the concentration of IO3- in the following solution?

15mL of 0.20mol/L IO3- solution
5mL of water
 
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(15mL)\times\frac{1L}{1000mL}\times\frac{0.20mol~IO_{3}^{-}}{L}=\mbox{moles of the ion in the solution}

You know the new volume. Can you find the concentration?
 
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To mathematically show the concentration of IO3- in this solution, we can use the formula for dilution: C1V1 = C2V2. In this case, C1 is the initial concentration of the IO3- solution (0.20 mol/L), V1 is the initial volume (15 mL), C2 is the final concentration (unknown), and V2 is the final volume (20 mL, since 15 mL of the initial solution is mixed with 5 mL of water). Rearranging the formula, we get C2 = (C1V1)/V2 = (0.20 mol/L * 15 mL) / 20 mL = 0.15 mol/L. Therefore, the concentration of IO3- in this solution is 0.15 mol/L.
 
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