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Calculate the number of grams of sulfuric acid in 1 gallon of battery acid if the solution has a density of 1.31 g/ml and is 37.4 % sulfuric acid by mass.

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Final answer:

To calculate the number of grams of sulfuric acid in 1 gallon of battery acid, multiply the volume of the solution in milliliters by the density of the solution and the mass percentage of sulfuric acid in the solution.

Step-by-step explanation:

To calculate the number of grams of sulfuric acid in 1 gallon of battery acid, we need to convert the volume of 1 gallon to milliliters and then use the density and mass percentage of sulfuric acid in the solution.

First, we convert the volume of 1 gallon to milliliters: 1 gallon = 3.78541 liters = 3785.41 milliliters.

Next, we calculate the mass of the solution: mass of solution = volume of solution x density = 3785.41 ml x 1.31 g/ml = 4964.83 g.

Finally, we calculate the mass of sulfuric acid in the solution: mass of sulfuric acid = mass of solution x mass percentage of sulfuric acid = 4964.83 g x 0.374 = 1855.77 g.

User Torxed
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We know that density is equal to mass divided by volum, D=M/V and in this case we have 1 gallon of a solution of sulfuric acid with 37.4% of concentration in mass. 1 gallon is 3785.41 ml and according the formula M=D*V = 1.31 * 3785.41 = 4958.89 grams of solution. Only 37.4% of the solution is sulfuric acid, that is 4958.89 * 37.4/100= 1854.62 grams Then the number of grams of sulfuric acid is 1854.62 gr.
User SooCheng Koh
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