Sulfuric acid (H2SO4) is a strong acid and dissociates completely in water:

Sulfuric acid (H$_2$SO$_4$) is a strong acid and dissociates completely in water:

$$\text{H}_2\text{SO}_4 \text{(aq)} \longrightarrow 2\text{H}^+ \text{(aq)} + \text{SO}_4^{2-} \text{(aq)}$$

Each mole of H$_2$SO$_4$ produces 2 moles of H$^+$ ions.

$$\text{Moles of H}^+ \text{ ions} = 2 \times 0.0625 \text{ mol} = 0.125 \text{ mol}$$

Use Avogadro's number, which is approximately $6.022 \times 10^{23}$ ions/mol.

$$\text{Number of H}^+ \text{ ions} = \text{Moles of H}^+ \text{ ions} \times \text{Avogadro's number}$$ $$\text{Number of H}^+ \text{ ions} = 0.125 \text{ mol} \times (6.022 \times 10^{23} \text{ ions/mol})$$ $$\text{Number of H}^+ \text{ ions} = 0.75275 \times 10^{23} \text{ ions}$$ $$\text{Number of H}^+ \text{ ions} = \boxed{\text{7.5275} \times 10^{22} \text{ ions}}$$