Answer: To find the mass of the calcium chloride solution, we need to use the definition of mass percent concentration.
Mass percent concentration (w/w%) is defined as the mass of the solute divided by the total mass of the solution, multiplied by 100.
Given:
Mass of calcium chloride (solute) = 6.4 g
Mass percent of calcium chloride in the solution = 11%
Let's assume the total mass of the solution is "M" grams.
The mass percent concentration formula can be written as:
(Mass of solute / Total mass of solution) * 100 = Mass percent
Now, plug in the given values:
(6.4 g / M g) * 100 = 11%
Now, solve for M (the mass of the calcium chloride solution):
6.4 g / M g = 11% / 100%
6.4 g / M g = 0.11
Now, cross-multiply to solve for M:
M * 0.11 = 6.4 g
M = 6.4 g / 0.11
M ≈ 58.18 g
So, the mass of the calcium chloride solution is approximately 58.18 grams.