To know the answer to this problem, you can search online or in any textbooks for the chemical formula of quinine. This is essential because you can detect from the chemical formula the number of hydrogen atoms.
Quinine has the chemical formula C₂₀H₂₄N₂O₂. So, the ratio of hydrogen to quinine is 24/1.
Moles of hydrogen = 1.1 mol quinine * 24/1 = 26.4 mol