Hello!
The chemical equation for the dissociation reaction is the following:
CH₃CH(OH)COOH + H₂O ⇄ CH₃CH(OH)COO⁻ + H₃O⁺
The expression for the equilibrium constant Ka is the following:
![Ka=([CH_3CH(OH)COO^(-)][H_3O^(+)])/([CH_3CH(OH)COOH])](https://img.qammunity.org/2019/formulas/chemistry/high-school/zia5byxhl1hdimcyz3ucaq9hgyvi5h78ks.png)
For calculating the concentration of H₃O⁺ we need to clear from this last equation:
![Ka=([CH_3CH(OH)COO^(-)][H_3O^(+)])/([CH_3CH(OH)COOH]) \\ \\ Ka=([x][x])/([1,75M-x]) ---(1,75M-x\approx 1,75M) \\ \\ \sqrt{6,4*10^(-5)*(1,75M)}=x=0,0106M=[ H_3O^(+)]](https://img.qammunity.org/2019/formulas/chemistry/high-school/f20kw6xylxhnneyi6jceysbs2zfzq6bylu.png)
So, the concentration of H₃O⁺ will be
0,0106 M
Have a nice day!