Certainly! Let's determine the chemical shifts in [tex]\(^{13}C\)[/tex]-NMR for the given types of carbon atoms: alcohol, alkene, arene, acid, and aldehyde. The correct chemical shifts are given as ranges in ppm. We'll match each type of carbon atom to its chemical shift range step-by-step.
1. Alcohol:
- The chemical shift for alcohol is typically in the range of [tex]\(50-65\)[/tex] ppm.
2. Alkene:
- The chemical shift for an alkene is typically in the range of [tex]\(100-150\)[/tex] ppm.
3. Arene:
- The chemical shift for an arene (aromatic ring) typically falls in the range of [tex]\(110-175\)[/tex] ppm.
4. Acid:
- The chemical shift for carboxylic acid is typically in the range of [tex]\(160-185\)[/tex] ppm.
5. Aldehyde:
- The chemical shift for an aldehyde generally falls in the range of [tex]\(190-220\)[/tex] ppm.
Let’s list these ranges according to the types of carbon atoms:
1. Alcohol: [tex]\(50-65\)[/tex]
2. Alkene: [tex]\(100-150\)[/tex]
3. Arene: [tex]\(110-175\)[/tex]
4. Acid: [tex]\(160-185\)[/tex]
5. Aldehyde: [tex]\(190-220\)[/tex]
So, the correct set of chemical shift ranges based on the types of carbon atoms is:
[tex]\[50-65, 100-150, 110-175, 160-185, 190-220\][/tex]
Among the provided options, this matches the first set exactly:
[tex]\[50-65, 100-150, 110-175, 160-185, 190-220\][/tex]
Therefore, the chemical shifts (in ppm) for [tex]\(^{13}C\)[/tex]-NMR for alcohol, alkene, arene, acid, and aldehyde are:
[tex]\[50-65, 100-150, 110-175, 160-185, 190-220\][/tex]
