Calculate the following quantity:
Volume in mL of 21.4 M cobalt(II) chloride solution that must be diluted with water to prepare 17 mL of an 51.5 M solution.
Calculate to 0 decimal places and do not include units. Also, do NOT use scientific notation.
c1v1 = c2v2
concn x volume = concn x volume
But first, a question. How will you DILUTE 21.4 M to make it 51.5M. You DILUTE something to make it less concentrated, not more concentrated.
To calculate the volume of the cobalt(II) chloride solution that needs to be diluted, we can use the equation:
M1V1 = M2V2
Where:
M1 = initial molarity of the cobalt(II) chloride solution
V1 = initial volume of the cobalt(II) chloride solution
M2 = final desired molarity of the cobalt(II) chloride solution
V2 = final desired volume of the cobalt(II) chloride solution
Let's plug in the given values:
M1 = 21.4 M
V1 = unknown
M2 = 51.5 M
V2 = 17 mL
Now, we can rearrange the equation to solve for V1:
V1 = (M2 * V2) / M1
Substituting the values:
V1 = (51.5 M * 17 mL) / 21.4 M
Calculating:
V1 = 41 mL
Therefore, the volume of the 21.4 M cobalt(II) chloride solution that must be diluted with water to prepare 17 mL of a 51.5 M solution is 41 mL.