m(solution) = 500ml * 1g/ml = 500g
w(H2SO4)=24,5g/500g = 0,049 = 4,9%
n(H2SO4) = 24,5g/98 g/mol = 0,25mol
Cn(H2SO4) = 0,25mol/0,5 l = 0,5 mol/ l = 0,5 M
H2SO4 <=> H(+) + HSO4(-) first stage
HSO4(-) <=> H(+) + SO4(2-) second stage
a=1 ==> [H(+)](1) = [H2SO4] = 0,5M = [HSO4(-)]
pH = -lg 0,5 = 0,301
(If we consider only dissociation on the first stage)
H2SO4 ka2 = 0,012
[H(+)](2) = 0,012 * [HSO4(-)] = 0,5 * 0,012 = 0,006 M
[H(+)] = [H(+)](1) + [H(+)](2) = 0,506M
-lg 0,506 = 0,296
(If we consider dissociation on both steps)