HOW MCH VOLUME OF DECA MOLAR SOLUTION IS REQD 2 PEPARE 500ML OF SOLUTION WITH DENSITY 1.03G/ML & HAVING MASS% =40%.
210ml
To determine the volume of 10 molar (10M) solution required to prepare 500 mL of a solution with a density of 1.03 g/mL and a mass percentage of 40%, we need to follow a step-by-step approach:
Step 1: Calculate the mass of the solution.
Mass of the solution = density × volume = 1.03 g/mL × 500 mL = 515 g
Step 2: Calculate the mass of solute required.
Mass percentage = (Mass of solute / Mass of solution) × 100
Since the mass percentage is given as 40%, we can rearrange the formula to find the mass of solute:
Mass of solute = (Mass percentage / 100) × Mass of solution
Mass of solute = (40 / 100) × 515 g = 206 g
Step 3: Calculate the molar mass of the solute.
The molar mass of the solute is needed to convert the mass of the solute to moles. However, the specific solute is not mentioned in your question. Please provide the name or chemical formula of the solute you are using.
Once you have the molar mass, you can proceed to Step 4.
Step 4: Calculate the number of moles of the solute.
Number of moles = Mass of solute / Molar mass
Step 5: Calculate the volume of the 10M solution.
To prepare a 10M solution, you'll need 10 moles of solute dissolved in 1 liter (1000 mL) of solution.
Volume of 10M solution = Number of moles / Molarity
Volume of 10M solution = 10 moles / 10 M = 1 liter (1000 mL)
Therefore, you would need 1000 mL (1 liter) of 10M solution to prepare 500 mL of the desired solution.
Note: Please provide the molar mass or chemical formula of the solute for a precise calculation.