The chemical formula for glucose is C_6H_{12}O_6. What is the percent by mass of hydrogen in glucose?

• A. 6.7%
• B. 42.9%
• C. 53.3%
• D. 12.0%

Answer: (A)

Verified step by step guidance

1. Identify the chemical formula of glucose: \(C_6H_{12}O_6\). This means the molecule contains 6 carbon atoms, 12 hydrogen atoms, and 6 oxygen atoms.
2. Find the atomic masses of each element involved: Carbon (C) is approximately 12 g/mol, Hydrogen (H) is approximately 1 g/mol, and Oxygen (O) is approximately 16 g/mol.
3. Calculate the molar mass of glucose by summing the contributions of each element: \$6 \times 12\( for carbon, \)12 \times 1\( for hydrogen, and \)6 \times 16$ for oxygen. Add these values to get the total molar mass.
4. Calculate the total mass of hydrogen in one mole of glucose by multiplying the number of hydrogen atoms (12) by the atomic mass of hydrogen (1 g/mol).
5. Determine the percent by mass of hydrogen in glucose using the formula: \(\text{Percent by mass of H} = \left( \frac{\text{mass of H}}{\text{molar mass of glucose}} \right) \times 100\%\).