SOLUTION: How many pounds of 93% sulfuric acid does it take to make 1 gallon 10% sulfuric acid solution

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Question 714808: How many pounds of 93% sulfuric acid does it take to make 1 gallon 10% sulfuric acid solution
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
1 gallon is 3785 milliliters (3.785 liters)
I am going to assume the ambient temperature is about 20 degrees Celsius.
The density of 10% sulfuric acid solution at 20 degrees Celsius is 1.066 g/mL.
(My trusted Chemical Engineer's Handbook, by John H. Perry, 4th edition says so).
The gallon of solution will have a mass of
%281.066g%2F1mL%29%283785mL%2F1gallon%29=4035g
The 10% solution would have 10g pure H%5B2%5DSO%5B4%5D in 100 grams of solution, so we need
%281.066g%2F1mL%29%283785mL%2F1gallon%29%28100g%2F10g%29=403.5g of pure H%5B2%5DSO%5B4%5D
to make that gallon of 10% solution.
The 93% sulfuric acid we start with contains 93g of pure H%5B2%5DSO%5B4%5D in each 100g, so we need to use
%281.066g%2F1mL%29%283785mL%2F1gallon%29%28100g%2F10g%29%28100g%2F93g%29=433.9g of that material
There are 454g in one pound, so the amount we need, in pounds is

So it takes 0.956 pounds of 93% sulfuric acid to make 1 gallon of 10% solution.

NOTES: According to my trusted handbook, the 93%, battery acid strength H%5B2%5DSO%5B4%5D has a density of 1.8279g/mL at 20 degrees Celsius, but that does not matter for the calculations, because 93% always refers to 93 parts per 100 in terms of mass of the pure compound and mass of the chemical material (weight-in-weight concentration).
If the desired solution was a 10% (w/v) solution, meaning a weight-in-volume concentration of 10%, containing 10g of pure H%5B2%5DSO%5B4%5D in 100mL of solution, it should have been specified as such.
The temperature could have been specified too, but the density of a 10% solution does not change that drastically with temperature. It is 1.0700 at 10 degrees and 1.0617 at 30 degrees Celsius.
The acid should handled in a fume hood, wearing proper personal protection equipment.
For safety, water should not be added to concentrated acid.
The acid should be diluted by slowly adding the concentrated acid to a alrge volume of water, up to about 3600mL
4035g-434g=3601g=about3600mL
Volume can be adjusted to 1 gallon as needed after the solution cools (The mixture will warm up while diluting).