calculate the volume of 17 M concentrated acetic acid solution that is needed to prepare 100 cubic centimeter of 1 M acetic acid?
To calculate the volume of a concentrated acetic acid solution needed to prepare a given volume of 1 M acetic acid solution, we first need to use the equation for dilution:
M1V1 = M2V2
Where:
M1 = initial concentration (in this case, 17 M)
V1 = initial volume (unknown)
M2 = final concentration (1 M)
V2 = final volume (100 mL or 100 cubic centimeters)
Rearranging the equation to solve for V1:
V1 = (M2 * V2) / M1
Substituting the given values:
V1 = (1 M * 100 cubic centimeters) / 17 M
Calculating:
V1 = 5.88 cubic centimeters
Therefore, approximately 5.88 cubic centimeters of the concentrated acetic acid solution is needed to prepare 100 cubic centimeters of 1 M acetic acid solution.
To calculate the volume of a concentrated solution needed to prepare a given volume of a diluted solution, you can use the formula:
V1 * C1 = V2 * C2
Where:
V1 = Volume of concentrated solution
C1 = Concentration of concentrated solution
V2 = Volume of diluted solution
C2 = Concentration of diluted solution
In this case, you have:
V1 = ?
C1 = 17 M (concentration of the concentrated acetic acid solution)
V2 = 100 cm³ (volume of the diluted acetic acid solution)
C2 = 1 M (concentration of the diluted acetic acid solution)
Plugging these values into the formula:
V1 * 17 M = 100 cm³ * 1 M
Simplifying the equation:
V1 = (100 cm³ * 1 M) / 17 M
Calculating the volume:
V1 = 5.88 cm³
So, you would need approximately 5.88 cubic centimeters of the 17 M concentrated acetic acid solution to prepare 100 cubic centimeters of 1 M acetic acid.