What is the volume percent of 10.00g of acetone in 1.55 liter of an acetone. water solution?( Density= 0. 789 gram/ml )
To answer this question, we need to find the volume of the acetone in the solution.
Step 1: Find the mass of the solution
According to the question, we have 1.55 L of acetone-water solution. The density of the solution is given as 0.789 g/mL. We can use this information to find the mass of the solution:
Mass of solution = density x volume
Mass of solution = 0.789 g/mL x 1550 mL
Mass of solution = 1222.95 g
Step 2: Find the mass of the acetone
According to the question, we have 10.00 g of acetone in the solution. Therefore, the mass of water in the solution will be:
Mass of water = Mass of solution - Mass of acetone
Mass of water = 1222.95 g - 10.00 g
Mass of water = 1212.95 g
Step 3: Find the volume of the acetone
We can use the density of acetone to find the volume of acetone:
Density of acetone = mass of acetone / volume of acetone
Rearranging the formula, we get:
Volume of acetone = Mass of acetone / Density of acetone
Volume of acetone = 10.00 g / 0.789 g/mL
Volume of acetone = 12.66 mL
Step 4: Find the volume percent
The volume percent of acetone in the solution is given by:
Volume percent = (Volume of acetone / Volume of solution) x 100%
Volume percent = (12.66 mL / 1550 mL) x 100%
Volume percent = 0.816%
Therefore, the volume percent of acetone in the solution is 0.816%.
To calculate the volume percent of acetone in the solution, you need to determine the volume of the acetone and the total volume of the solution.
First, let's calculate the volume of acetone:
Given:
Mass of acetone (m) = 10.00 g
Density of acetone (ρ) = 0.789 g/ml
Volume of acetone (V) = Mass of acetone / Density of acetone
V = 10.00 g / 0.789 g/ml
The volume of acetone is approximately 12.674 ml.
Next, let's calculate the total volume of the solution:
Given:
Volume of solution (V_solution) = 1.55 liters
Note: The volume of the solution is given in liters, so we need to convert it to milliliters.
Total volume of solution (V_solution) = Volume of solution x 1000
V_solution = 1.55 liters x 1000 ml/liter
V_solution = 1550 ml
Now, we can calculate the volume percent:
Volume percent = (Volume of acetone / Total volume of solution) x 100
Volume percent = (12.674 ml / 1550 ml) x 100
The volume percent of 10.00 g of acetone in 1.55 liters of an acetone-water solution is approximately 0.818%.