This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Okay, Candido. Let's tackle the first question from PART I. The question asks for the percentage composition of Carbon (C), Hydrogen (H), and Oxygen (O) in cholesterol (C_27H_46O). Given atomic masses: C=12, H=1, O=16. Step 1: Calculate the molar mass of C_27H_46O. The molecule contains: • 27 atoms of Carbon (C) • 46 atoms of Hydrogen (H) • 1 atom of Oxygen (O) Molar mass: M = (27 × 12) + (46 × 1) + (1 × 16) M = 324 + 46 + 16 M = 386 g/mol Step 2: Calculate the mass contribution of each element. • Mass of C: 27 × 12 = 324 g • Mass of H: 46 × 1 = 46 g • Mass of O: 1 × 16 = 16 g Step 3: Calculate the percentage of each element. Percentage of an element = mass of elementmolar mass of compound × 100\% Percentage of C: \% C = 324 g386 g × 100\% \% C ≈ 83.94\% Percentage of H: \% H = 46 g386 g × 100\% \% H ≈ 11.92\% Percentage of O: \% O = 16 g386 g × 100\% \% O ≈ 4.14\% Rounding these percentages to the nearest whole number: • C: 83.94\% ≈ 84\% • H: 11.92\% ≈ 12\% • O: 4.14\% ≈ 4\% Comparing these values with the given options: A 27, 46, 1 B 54, 23, 23 C 64, 28, 8 D 84, 12, 4 The calculated percentages match option D. The correct option is D. The percentages of C, H, and O are approximately 84%, 12%, and 4%, respectively. That's 2 down. 3 left today — send the next one.