What volume of a 10% sulfuric acid solution with a density of 1.07 g / ml is required to be reacted

What volume of a 10% sulfuric acid solution with a density of 1.07 g / ml is required to be reacted with zinc to obtain 4.48 liters of hydrogen.

The production of zinc sulfate from zinc and sulfuric acid is described by the equation:

Zn + H2SO4 → ZnSO4 + H2;

Substances interact in the same molar ratios.

Therefore, the amount of hydrogen will be equal to the amount of sulfuric acid.

Let’s find the amount of hydrogen:

N H2 = 4.48 / 22.4 = 0.2 mol;

To synthesize this amount of hydrogen, you need to take 0.2 mol of sulfuric acid.

Let’s calculate the volume of the solution. To do this, we first find the weight of the acid:

M H2SO4 = 2 + 32 + 16 x 4 = 98 grams / mol;

m H2SO4 = 0.2 x 98 = 19.6 grams;

V of H2SO4 solution = 19.6 / 0.1 / 1.07 = 183.177 ml.