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Calculate The Sodium Ion Concentration When 70.0 Ml of 3.0

Reviewed by Calculator Editorial Team

This calculator helps you determine the sodium ion concentration when a specific volume of a sodium solution is diluted to a new volume. The calculation is based on the principle of dilution where the concentration of a solute decreases proportionally as the volume of the solution increases.

How to Calculate Sodium Ion Concentration

To calculate the sodium ion concentration after dilution, follow these steps:

  1. Determine the initial concentration of the sodium solution in moles per liter (M).
  2. Measure the initial volume of the solution in milliliters (ml).
  3. Decide on the final volume to which the solution will be diluted.
  4. Use the dilution formula to calculate the new concentration.

The key principle is that the amount of solute (sodium ions) remains constant, but the volume changes, which affects the concentration.

The Formula Explained

The dilution formula used for this calculation is:

C₁V₁ = C₂V₂

Where:

  • C₁ = Initial concentration (M)
  • V₁ = Initial volume (ml)
  • C₂ = Final concentration (M)
  • V₂ = Final volume (ml)

To solve for the final concentration (C₂), rearrange the formula:

C₂ = (C₁ × V₁) / V₂

This formula assumes the solution is being diluted by adding solvent (like water) without adding or removing any sodium ions.

Worked Example

Let's calculate the sodium ion concentration when 70.0 ml of a 3.0 M sodium solution is diluted to 200 ml.

  1. Initial concentration (C₁) = 3.0 M
  2. Initial volume (V₁) = 70.0 ml
  3. Final volume (V₂) = 200 ml

Using the formula:

C₂ = (3.0 M × 70.0 ml) / 200 ml = 1.05 M

The final sodium ion concentration is 1.05 M.

Frequently Asked Questions

What units should I use for volume?
The calculator uses milliliters (ml) for volume. If you have volumes in other units, convert them to milliliters before using the calculator.
Can this formula be used for other ions?
Yes, the dilution formula applies to any solute, including other ions, as long as the amount of solute remains constant.
What if I'm diluting with a solution that contains other ions?
The formula assumes you're adding pure solvent. If you're adding a solution with other ions, you'll need to account for those additional ions separately.
How accurate are the results?
The results are as accurate as the input values you provide. The calculator performs basic arithmetic operations with the values you enter.