Given: A hydroxy compound (X) has molar mass 122gmol−1. After complete acetylation, the product has molar mass 290gmol−1.
Find: The number of hydroxyl groups present in compound (X).
Step 1: Each hydroxyl group (−OH) on acetylation increases the molar mass by
42g mol−1Step 2: Total increase in molar mass is
ΔM=290−122=168g mol−1Step 3: Therefore, the number of hydroxyl groups is
n=42168=4Conclude: The compound (X) contains 4 hydroxyl groups. The correct option is C.