How many milliliters of a 9.0\% ({\rm v/v}) propyl alcohol solution would you need to obtain 4.0{\rm mL} of propyl alcohol
What's the solvent? Water?
9% v/v means 9.0 mL propyl alcohol in 100 mL solution. You want 4 mL propyl aocohol.
(9 mL/100 mL) x ? = 4 mL
? = 4*100/9 = ?
To determine the volume of a 9.0% (v/v) propyl alcohol solution needed to obtain 4.0 mL of propyl alcohol, we can use the formula:
C1V1 = C2V2
Where:
C1 = initial concentration of propyl alcohol solution
V1 = initial volume of propyl alcohol solution
C2 = desired concentration of propyl alcohol
V2 = desired volume of propyl alcohol
Let's substitute the given values into the formula:
C1 = 9.0% (v/v) = 0.09
V1 = ?
C2 = 100% (v/v) = 1.00 (since we want to obtain pure propyl alcohol)
V2 = 4.0 mL
Plugging in the values:
0.09V1 = 1.00 * 4.0
0.09V1 = 4.00
V1 = 4.00 / 0.09
V1 ≈ 44.44 mL
Therefore, you would need approximately 44.44 mL of a 9.0% (v/v) propyl alcohol solution to obtain 4.0 mL of propyl alcohol.
To determine how many milliliters of a 9.0% (v/v) propyl alcohol solution you would need to obtain 4.0 mL of propyl alcohol, we need to use the concept of concentration.
1. Identify the given information:
- Amount of propyl alcohol needed: 4.0 mL
- Concentration of the propyl alcohol solution: 9.0% (v/v)
2. Understand the concentration percentage:
The concentration percentage in a v/v (volume/volume) solution represents the volume of solute (propyl alcohol) divided by the total volume of solution, multiplied by 100%.
3. Formulate the equation:
In this case, the equation becomes:
(Volume of propyl alcohol / Volume of solution) x 100% = Concentration percentage
4. Rearrange the equation to isolate the volume of propyl alcohol:
Volume of propyl alcohol = (Concentration percentage / 100%) x Volume of solution
5. Plug in the given values:
Volume of propyl alcohol = (9.0% / 100%) x Volume of solution
6. Solve for the unknown, which is the Volume of solution:
Volume of solution = Volume of propyl alcohol / (9.0% / 100%)
7. Substitute the given values into the equation:
Volume of solution = 4.0 mL / (9.0% / 100%)
8. Calculate the final answer:
Volume of solution ≈ 44.44 mL
Therefore, you would need approximately 44.44 mL of a 9.0% (v/v) propyl alcohol solution to obtain 4.0 mL of propyl alcohol.