It has been suggested that taking a teaspoon of apple cider vinegar in a cup of water can be good for digestive health. Note: a teaspoon is nearly 5.00 mL and a cup is nearly 240. mL. Store-bought vinegar is nominally 5.00% (g/mL) acidity, meaning that it contains 5.00 g of acetic acid (the acid found in vinegar) in 100. mL of solution. The molar mass of acetic acid is 60.0 g and its $K_a = 1.8 \times 10^{-5}$. Determine the following:
a. Calculate the concentration, in molarities, of acetic acid in 5.00% (g/mL) acidity vinegar.
b. Calculate $[H^+]$ in 5.00% (g/mL) acidity vinegar.
c. Calculate the percent ionization of acetic acid in 5.00% (g/mL) acidity vinegar.