Calculate the volume of distiled water to prepare 10%w/v solution of solute if 8g of the solute is to be used.
To calculate the volume of distilled water needed to prepare a 10% w/v (weight/volume) solution, we'll follow these steps:
Step 1: Identify the given information:
- Amount of solute (w): 8g
- Desired concentration (w/v): 10%
Step 2: Calculate the volume of the solution:
The concentration of a solution is defined as the mass of the solute divided by the volume of the solution:
Concentration (w/v) = (Mass of solute / Volume of solution) * 100
We can rearrange this formula to solve for the volume of the solution:
Volume of solution = (Mass of solute / Concentration (w/v)) * 100
Using the given values:
Volume of solution = (8g / 10%) * 100
Step 3: Calculate the volume of distilled water:
The volume of distilled water can be calculated by subtracting the volume of the solute from the volume of the solution:
Volume of distilled water = Volume of solution - Volume of solute
Using the values from the previous step:
Volume of distilled water = (8g / 10%) * 100 - 8g
Now, let's calculate the volume of distilled water:
Volume of distilled water = (8g / 0.1) - 8g
= 80g - 8g
= 72g
Therefore, to prepare a 10% w/v solution using 8g of solute, you would need 72g of distilled water.