Find out the volume of water required to make 91% sulphuric acid , sp gravity 1.81 from cons sulphuric acid of MW 98.08 and sp gravity 1.84?For one liter volume
(w * 1.00) + [(1 - w) * 1.84] = 1 * 1.81
w + 1.84 - 1.84 w = 1.81 ... .03 = .84 w ... w = 35.7 mL
Thankyou Scott. Kindly explain this equation. Thankyou.
To find the volume of water required to make 91% sulfuric acid with a specific gravity of 1.81 from concentrated sulfuric acid with a molecular weight of 98.08 and a specific gravity of 1.84, we can follow these steps:
1. Determine the mass of the concentrated sulfuric acid needed.
Since the specific gravity is given for the concentrated sulfuric acid, we can calculate its mass per unit volume:
Mass = specific gravity * density of water
Density of water = 1 g/cm³
Mass = 1.84 * 1 g/cm³ = 1.84 g/cm³
For one liter volume, the mass of concentrated sulfuric acid required is:
Mass = 1.84 g/cm³ * 1 L = 1.84 kg
2. Calculate the mass of sulfuric acid in the concentrated solution.
To do this, we need to convert the percentage of sulfuric acid to mass:
Mass of sulfuric acid = Percentage of sulfuric acid * Total mass of the solution
Total mass of the solution = Mass of sulfuric acid + Mass of water
Since we want to make a 91% sulfuric acid solution, the mass of sulfuric acid is:
Mass of sulfuric acid = 0.91 * Mass of the solution
We can rearrange the equation to find the mass of water:
Mass of water = Mass of the solution - Mass of sulfuric acid
Mass of water = Mass of the solution - (0.91 * Mass of the solution)
Mass of water = 0.09 * Mass of the solution
3. Calculate the volume of water needed.
The density of water is approximately 1 g/cm³, so 1 kg of water is equal to 1 L.
Therefore, the volume of water needed is equal to the mass of water in liters.
Volume of water = Mass of water = 0.09 * Mass of the solution
Plugging in the mass of the solution, the volume of water needed is:
Volume of water = 0.09 * 1.84 kg = 0.1656 L (rounded to 4 decimal places)
Therefore, approximately 0.1656 liters of water are required to make one liter of 91% sulfuric acid solution with a specific gravity of 1.81.