54.0 mL of a 1.50 M solution is diluted to a total volume of 258 mL. A 129-mL portion of that solution is diluted by adding 165 mL of water. What is the final concentration?
11 years ago
8 years ago
0.0944
1 year ago
To find the final concentration, we need to calculate the number of moles of solute in the initial solution and then divide it by the final volume.
Step 1: Calculate the moles of solute in the initial solution.
moles of solute = volume of solution (in liters) × molarity
moles of solute = (54.0 mL ÷ 1000 mL/L) × 1.50 mol/L
moles of solute = 0.081 mol
Step 2: Find the final volume of the solution after dilution.
final volume = initial volume + volume added
final volume = 54.0 mL + 165 mL
final volume = 219 mL
Step 3: Calculate the final concentration.
final concentration = moles of solute ÷ final volume
final concentration = 0.081 mol ÷ (219 mL ÷ 1000 mL/L)
final concentration = 0.370 M
Therefore, the final concentration of the solution is 0.370 M.
1 year ago
To find the final concentration, we need to consider the dilution of the original solution.
The original solution has a volume of 54.0 mL and a concentration of 1.50 M.
First, let's calculate the moles of solute in the original solution:
moles of solute = concentration × volume
moles of solute = 1.50 M × 54.0 mL
Next, let's only consider the diluted volume. The final volume is 258 mL, but we are only interested in a 129 mL portion. Let's calculate the moles of solute in this portion:
moles of solute in 129 mL = (moles of solute in original solution) × (final volume of 129 mL / original volume of 54.0 mL)
moles of solute in 129 mL = (1.50 M × 54.0 mL) × (129 mL / 54.0 mL)
Now, let's calculate the final volume of the diluted solution after adding 165 mL of water to the 129 mL portion:
final volume of diluted solution = 129 mL + 165 mL
Finally, let's calculate the final concentration using the moles of solute calculated earlier and the final volume:
final concentration = (moles of solute in 129 mL) / (final volume of diluted solution)
By plugging in the values, you can find the final concentration.