I hope this one is helping you
Hey there!:
Volume of rainfall = Area X height
Height = 1 in = 0.254 dm
1mile2 = 2.59 X 10⁸ dm²
so 1300 miles² = 3367 *10⁸ dm²
Volume = 0.254 * 3367 * 10⁸ = 855.218 * 10⁸ dm³
Also,
H2SO4 ionizes as :
H2SO4 --> H⁺ + HSO4⁻
Ka1 is very high so it completely dissociates , due to first dissociation [H⁺] = Concentration of H2SO4
HSO4⁻ --> H⁺ + SO₄⁻²
We also consider it as high dissociation :
so each mole of H2SO4 will give 2 moles of H⁺ (proton)
pH = 3.30 = -log[H⁺]
So [H+] = 0.000501 M = 0.000501 moles / L or moles / dm³
Volume = 855.218 * 10⁸dm³
so moles of H+ present in this volume:
= 0.000501 * 855.218 *10⁸ = 4.28* 10⁷moles
So moles of H2SO4 = 4.28 * 10⁷ / 2 = 2.14 * 10⁷ moles
Molecular weight of H2SO4 = 98 g / mol
Mass of H2SO4:
Moles X molecular weight = 98 * 2.14 X 10⁷ grams = 209.72 * 10⁷ grams in kg:
= 2.09 X 10⁶Kg
Hope that helps!
