Two Giants Of Chemistry

A solution of $100$ $\ce{mL}$ , $0.2$ $\ce{M}$ $\ce {CH3COOH}$ is mixed with $100$ $\ce{mL}$ , $0.2$ $\ce{M}$ $\ce{NaOH}$ .The molar conductance of $0.1$ $\ce{M}$ $\ce {CH3COOH}$ at infinite dilution is $200$ $\ce{S cm^2 mol^{-1}}$ and at any concentration is $2.0$ $\ce{S cm^2 mol^{-1}}$ . Then calculate $\ce{pH}$ of the solution .