Battery acid has a density of 1.285 g/mL and contains 38.0% sulfuric acid by mass. The car battery contains 1.45 L of battery acid. What is the mass of the sulfuric acid in a car battery?

Answer :

Answer: 708.2 grams

Explanation:

Molarity of a solution is defined as the number of moles of solute dissolved per Liter of the solution.

Given : 38 g of [tex]H_2SO_4[/tex] is dissolved in 100 g of solution.

Density of solution = 1.285 g/ml

Volume of solution = [tex]\frac{mass}{density}=\frac{100g}{1.285g/ml}=77.8ml[/tex]

Thus if 77.8 ml of [tex]H_2SO_4[/tex] contains = 38 g of [tex]H_2SO_4[/tex]

1.45L= 1450 ml of [tex]H_2SO_4[/tex] contains = [tex]\frac{38}{77.8}\times 1450=708.2 g[/tex] of [tex]H_2SO_4[/tex]

Therefore, the mass of the sulfuric acid in a car battery is 708.2 g

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