sulfuric acid is a strong acid and dissociates in water as shown in reaction

H2SO4(aq)=2H^+(aq)+SO4^2-(aq)
what is the hydrogen ion concentration, in mol dm^-3,when 1.50g of sulfuric acid is dissolved in water to give 0.500dm^3 of solution ?show all of your working and give your answer to three significant figures.

1 answer

Hello zak. What level is this course? If you want an approximate answer, and from the ionization equation in the problem I think that is what you want, it is as follows:
mols H2SO4 = 1.50g/molar mass H2SO4 = about 0.015 but you need to be more accurate.
mols H^+ = twice that (from two hydrogen ions/molecule)= ?.
Then (H) in M = mols/L = ?/0.500 = xx?.

In reality it is less than that because H2SO4 is not a strong acid EXCEPT for the first ionization; i.e., the second ionization has a k2 = about 0.012. If you take that into account (H^+) = about 0.04M instead of about 0.06M.
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