Step 1: Concept
Molarity ($M$) is defined as the number of moles of solute per liter of solution.
Step 2: Meaning
Density = 1 g/ml means 1000 g of acetic acid exists in 1000 ml (1 Liter) of volume.
Step 3: Analysis
Number of moles = Mass Molar Mass = $1000 \text{ g} / 60 \text{ g/mol} = 16.666...$ moles. Since this is in 1 Liter, $M = 16.7$.
Step 4: Conclusion
The molarity of pure acetic acid under these conditions is 16.7 M.
Final Answer: (B)