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

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 = $\frac{mass}{density}=\frac{100g}{1.285g/ml}=77.8ml$

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 = $\frac{38}{77.8}\times 1450=708.2 g$ of $H_2SO_4$

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