https://file.aiquickdraw.com/mathbot/file/17265123928461ijwm6fz.jpg

Let's go through the options to determine which contains the most carbon atoms:

- **Option A:** \(4C_6H_{12}O_6\)  
  Each molecule has 6 carbon atoms, and since there are 4 molecules, the total number of carbon atoms is:
  \[
  4 \times 6 = 24 \text{ carbon atoms}
  \]

- **Option B:** \(3(C_2H_4)_2\)  
  Each molecule has 2 carbon atoms, and there are 2 of these groups in one molecule, giving 4 carbon atoms per molecule. Since there are 3 molecules, the total number of carbon atoms is:
  \[
  3 \times 4 = 12 \text{ carbon atoms}
  \]

- **Option C:** \(23CO_2\)  
  Each molecule of \(CO_2\) has 1 carbon atom. So, for 23 molecules, the total number of carbon atoms is:
  \[
  23 \times 1 = 23 \text{ carbon atoms}
  \]

- **Option D:** \((C_3H_8)_2\)  
  Each molecule has 3 carbon atoms, and since there are 2 molecules, the total number of carbon atoms is:
  \[
  2 \times 3 = 6 \text{ carbon atoms}
  \]

### Conclusion:
The option with the most carbon atoms is **A** with **24 carbon atoms**.

Would you like further details or have any additional questions?

Here are 5 related questions for further understanding:
1. How do you calculate the number of atoms in a molecule?
2. What is the molecular structure of glucose (\(C_6H_{12}O_6\))?
3. How does the stoichiometry of a chemical formula relate to atom counting?
4. What is the significance of subscripts and coefficients in chemical formulas?
5. How are carbon atoms counted in hydrocarbons like ethylene and propane?

**Tip:** When counting atoms in a compound, always multiply the number of atoms in the molecular formula by the coefficient placed in front of the formula.

Which of the following contains the most carbon atoms? Options: A: 4C6H12O6, B: 3(C2H4)2, C: 23CO2, D: (C3H8)2

Learn how to count the number of carbon atoms in various chemical formulas like C6H12O6, CO2, and hydrocarbons. Detailed step-by-step solution, suitable for high school students.

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