Select all the correct answers.

A sample of an unknown compound has a percent composition of 52.14% carbon, 13.13% hydrogen, and 34.73% oxygen. Which compounds could the sample be?

A. [tex]\( CH_3CH_2CH_2O_2 \)[/tex]
B. [tex]\( C_2H_5OH \)[/tex]
C. [tex]\( C_4H_{10}O_2 \)[/tex]
D. [tex]\( C_4H_{12}O_2 \)[/tex]
E. [tex]\( CH_3CH_2CH_2OOH \)[/tex]



Answer :

To determine which compounds match the given percent composition, we need to compare the percent composition of each compound with the given sample composition.

Given:
- Carbon: [tex]\( 52.14\% \)[/tex]
- Hydrogen: [tex]\( 13.13\% \)[/tex]
- Oxygen: [tex]\( 34.73\% \)[/tex]

We will examine each compound to see if any of them closely match the given composition.

1. Compound: [tex]\( \mathbf{CH_3CH_3CH_2O_2} \)[/tex]
- Carbon: [tex]\( 4 \)[/tex]
- Hydrogen: [tex]\( 10 \)[/tex]
- Oxygen: [tex]\( 2 \)[/tex]

2. Compound: [tex]\( \mathbf{C_2H_5OH} \)[/tex]
- Carbon: [tex]\( 2 \)[/tex]
- Hydrogen: [tex]\( 6 \)[/tex]
- Oxygen: [tex]\( 1 \)[/tex]

3. Compound: [tex]\( \mathbf{C_4H_{10}O_2} \)[/tex]
- Carbon: [tex]\( 4 \)[/tex]
- Hydrogen: [tex]\( 10 \)[/tex]
- Oxygen: [tex]\( 2 \)[/tex]

4. Compound: [tex]\( \mathbf{C_4H_{12}O_2} \)[/tex]
- Carbon: [tex]\( 4 \)[/tex]
- Hydrogen: [tex]\( 12 \)[/tex]
- Oxygen: [tex]\( 2 \)[/tex]

5. Compound: [tex]\( \mathbf{CH_3CH_3CH_2OOH} \)[/tex]
- Carbon: [tex]\( 4 \)[/tex]
- Hydrogen: [tex]\( 9 \)[/tex]
- Oxygen: [tex]\( 2 \)[/tex]

By comparing the percent compositions, we narrow down the compounds that align closely with the sample composition.

The compounds that could potentially correspond to the given sample composition, based on our analysis, are:

[tex]\( \mathbf{C_2H_5OH} \)[/tex] and [tex]\( \mathbf{C_4H_{12}O_2} \)[/tex]

These are the compounds which have a percent composition of carbon, hydrogen, and oxygen that match closely with the given sample.

Therefore, the correct answers are:

- [tex]\( \mathbf{C_2H_5OH} \)[/tex]
- [tex]\( \mathbf{C_4H_{12}O_2} \)[/tex]