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 (C27H46O).
Given atomic masses: C=12, H=1, O=16.
Step 1: Calculate the molar mass of C27H46O.
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=386g/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 = molarmassofcompoundmassofelement×100%
Percentage of C:
%C=386g324g×100%
%C≈83.94%
Percentage of H:
%H=386g46g×100%
%H≈11.92%
Percentage of O:
%O=386g16g×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.