To solve this problem, we need to use the formula for calculating the pH of a solution, which is:
pH = -log[H+]
where [H+] is the concentration of hydrogen ions in moles per liter.
The given chemical equation is:
H2SO4 + 2H2O → 2H3O+ + SO42-
From this equation, we can see that one molecule of sulfuric acid (H2SO4) can donate two hydrogen ions (H+) to the solution, which means that the concentration of hydrogen ions is twice the concentration of sulfuric acid. Therefore, the concentration of hydrogen ions in this solution is:
[H+] = 2 x 0.05 moldm^-3 = 0.1 moldm^-3
Now we can use the formula for pH:
pH = -log[H+]
pH = -log(0.1)
pH = 1.00
Therefore, the pH of the solution is 1.00.