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Which of these is NOT a correct internal conversion for [tex]\( C_{12}H_{22}O_{11} \)[/tex]?

A. [tex]\(\frac{1 \text{ mlc } C_{12}H_{22}O_{11}}{12 \text{ mole } C}\)[/tex]

B. [tex]\(\frac{1 \text{ mlc } C_{12}H_{22}O_{11}}{22 \text{ atom } H}\)[/tex]

C. [tex]\(\frac{11 \text{ atom } O}{22 \text{ atom } H}\)[/tex]

Sagot :

To determine which conversion is not correct for the molecule [tex]\( C_{12}H_{22}O_{11} \)[/tex], let's analyze each one carefully based on the molecular composition of [tex]\( C_{12}H_{22}O_{11} \)[/tex]:

1. First Conversion:
[tex]\[ \frac{1 \text{ molecule } C_{12}H_{22}O_{11}}{12 \text{ mole C }} \][/tex]
The molecule [tex]\( C_{12}H_{22}O_{11} \)[/tex] contains 12 carbon (C) atoms. The issue here is that we're comparing a molecule (which refers to a discrete number of atoms) and a mole (which is a large quantity, Avogadro's number, [tex]\(6.022 \times 10^{23}\)[/tex]). This should be referring to atoms, not moles. Correctly, it should be:
[tex]\[ \frac{1 \text{ molecule } C_{12}H_{22}O_{11}}{12 \text{ atoms C }} \][/tex]

2. Second Conversion:
[tex]\[ \frac{1 \text{ molecule } C_{12}H_{22}O_{11}}{22 \text{ atom H}} \][/tex]
The molecule [tex]\( C_{12}H_{22}O_{11} \)[/tex] contains 22 hydrogen (H) atoms. This conversion correctly states the number of hydrogen atoms per molecule of [tex]\( C_{12}H_{22}O_{11} \)[/tex]. Therefore, it is correct.

3. Third Conversion:
[tex]\[ \frac{11 \text{ atom O}}{22 \text{ atom H}} \][/tex]
The molecule [tex]\( C_{12}H_{22}O_{11} \)[/tex] contains 11 oxygen (O) atoms and 22 hydrogen (H) atoms. This ratio simplifies to:
[tex]\[ \frac{11 \text{ atom O}}{22 \text{ atom H}} = \frac{1 \text{ atom O}}{2 \text{ atom H}} \][/tex]
Proportionally, this conversion correctly reflects the internal ratio of oxygen to hydrogen atoms in the molecule.

By closely analyzing these conversions, the first conversion is incorrectly given as:
[tex]\[ \frac{1 \text{ molecule } C_{12}H_{22}O_{11}}{12 \text{ mole C }} \][/tex]
It should refer to individual atoms rather than moles for correct internal comparison:
[tex]\[ \frac{1 \text{ molecule } C_{12}H_{22}O_{11}}{12 \text{ atom C }} \][/tex]

Therefore, the incorrect internal conversion is:
[tex]\[ \frac{1 \text{ molecule } C_{12}H_{22}O_{11}}{12 \text{ mole C }} \][/tex]