Answer:
The concentration of acetic acid present in the vinegar is 0.113M
Step-by-step explanation:
1. As the titration occurs between an acid and a base is called neutralization. The balanced chemical reaction between the acetic acid and the NaOH is:
![NaOH+HC_(2)H_(3)O_(2)=NaC_(2)H_(3)O_(2)+H_(2)O](https://img.qammunity.org/2020/formulas/physics/high-school/77azmgqae5sbtl8eoavu3jpsokvwfwfkiw.png)
2. Calculate the moles of NaOH used, taking in account the concentration of NaOH 1.00M:
![5.65mL*(1.00molesNaOH)/(1000mLNaOH)=0.00565molesNaOH](https://img.qammunity.org/2020/formulas/physics/high-school/ds3wo8bz0uvcloeqa31q2csd3qpkfnltwn.png)
3. Calculate the number of moles of acetic acid neutralized using stoichiometry:
![0.00565molesNaOH*(1molHC_(2)H_(3)O_(2))/(1molNaOH)=0.00565molesHC_(2)H_(3)O_(2)](https://img.qammunity.org/2020/formulas/physics/high-school/v8ohkbug4vbspbng82dewt3gl3r7p1ngw9.png)
4. Calculate the concentration of acetic acid present in the vinegar:
![(0.00565molesHC_(2)H_(3)O_(2))/(50.0mLvinegar)*(1000mLvinegar)/(1Lvinegar)=0.113M](https://img.qammunity.org/2020/formulas/physics/high-school/9oyzhu01xpt61vcqaskmqjifwak4dh76lf.png)