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← JEE Main 2022 · 29 Jul · Shift 2
ChemistryInteger+4 / -1Question 88 of 90

JEE Main 2022 · 29 Jul · Shift 2, Chemistry question 88

A 1.84 mg sample of polyhydric alcoholic compound 'X' of molar mass 92.0 g/mol gave 1.344 mL of H2_2 gas at STP. The number of alcoholic hydrogens present in compound 'X' is _______.

Answer and worked solution

Official answer: 3

Intended compound. A polyhydric alcohol of molar mass 92 is glycerol, C3H5(OH)3\mathrm{C_3H_5(OH)_3}: three alcoholic hydrogens, as keyed.

About the numbers. Taken literally, 1.84×10−392=2×10−5\frac{1.84\times10^{-3}}{92}=2\times10^{-5} mol of X and 1.34422400=6×10−5\frac{1.344}{22400}=6\times10^{-5} mol of H₂ would mean 6 OH per molecule, which no compound of molar mass 92 can have; glycerol would give 0.672 mL. The data are inconsistent, and the answer follows the compound.

Answer: 3