Question

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 1

Answer: 708.2 grams

Step-by-step explanation:

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

Given : 38 g of
`H_2SO_4` is dissolved in 100 g of solution.

Density of solution = 1.285 g/ml

Volume of solution =
`(mass)/(density)=(100g)/(1.285g/ml)=77.8ml`

Thus if 77.8 ml of
`H_2SO_4` contains = 38 g of
`H_2SO_4`

1.45L= 1450 ml of
`H_2SO_4` contains =
`(38)/(77.8)* 1450=708.2 g` of
`H_2SO_4`

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