What is the %v/v of a solution made from 141.1 g of ethylene glycol (density is 1.11 g/mL) in water (density 1.00 g/mL) to form a total volume of 500.0 mL? You may assume the density of ethylene glycol does not change in the solution.
mass = volume x density or volume = mass/density
v ethyleneglycol = m/d = 141.1/1.11 = 127.1 mL
total volume = 500 mL.
% v/v ethylene glycol = (127.1 mL/500 m)*100
To find the %v/v of the solution, we need to determine the volume of ethylene glycol (in mL) and the total volume of the solution (in mL).
First, let's calculate the volume of ethylene glycol (in mL) using its mass and density:
Volume of ethylene glycol = Mass of ethylene glycol / Density of ethylene glycol
= 141.1 g / 1.11 g/mL
= 127.2 mL
Next, we need to calculate the total volume of the solution by adding the volume of ethylene glycol to the final volume of water:
Total volume of solution = Volume of ethylene glycol + Volume of water
= 127.2 mL + 500.0 mL
= 627.2 mL
Finally, we can calculate the %v/v of the solution:
%v/v = (Volume of ethylene glycol / Total volume of solution) x 100
%v/v = (127.2 mL / 627.2 mL) x 100
= 20.3%
Therefore, the %v/v of the solution made from 141.1 g of ethylene glycol (density 1.11 g/mL) in water (density 1.00 g/mL) with a total volume of 500.0 mL is approximately 20.3%.
To calculate the %v/v of a solution, we need to find the volume of the solute (ethylene glycol) and the volume of the solution.
Step 1: Calculate the volume of the ethylene glycol:
We can use the formula:
Volume = Mass / Density
Given:
- Mass of ethylene glycol = 141.1 g
- Density of ethylene glycol = 1.11 g/mL
Volume of ethylene glycol = 141.1 g / 1.11 g/mL
Calculating:
Volume of ethylene glycol = 127.03 mL
Step 2: Calculate the volume of the water:
Since the total volume of the solution is 500.0 mL, we can find the volume of water by subtracting the volume of ethylene glycol from the total volume.
Volume of water = Total volume - Volume of ethylene glycol
Calculating:
Volume of water = 500.0 mL - 127.03 mL
Volume of water = 372.97 mL
Step 3: Calculate the %v/v:
The %v/v is calculated by dividing the volume of the solute by the volume of the solution and then multiplying by 100.
%v/v = (Volume of ethylene glycol / Total volume) x 100
Calculating:
%v/v = (127.03 mL / 500.0 mL) x 100
%v/v = 25.406
Therefore, the %v/v of the solution is approximately 25.4%.