Ask questions, share knowledge, and connect with a vibrant community on IDNLearn.com. Our community is here to provide the comprehensive and accurate answers you need to make informed decisions.
Sagot :
To determine which molecular formulas correspond to a molecular ion with a mass-to-charge ratio (m/z) of 73, we need to calculate the molecular masses of each given formula and compare them to 73.
### Molecular Mass Calculations:
1. [tex]\( \text{C}_4 \text{H}_{11} \text{O} \)[/tex]
- Carbon (C): 4 atoms × 12 = 48
- Hydrogen (H): 11 atoms × 1 = 11
- Oxygen (O): 1 atom × 16 = 16
Total = 48 + 11 + 16 = 75
2. [tex]\( \text{C}_2 \text{H}_7 \text{N}_3 \)[/tex]
- Carbon (C): 2 atoms × 12 = 24
- Hydrogen (H): 7 atoms × 1 = 7
- Nitrogen (N): 3 atoms × 14 = 42
Total = 24 + 7 + 42 = 73
3. [tex]\( \text{C}_4 \text{H}_{11} \text{N} \)[/tex]
- Carbon (C): 4 atoms × 12 = 48
- Hydrogen (H): 11 atoms × 1 = 11
- Nitrogen (N): 1 atom × 14 = 14
Total = 48 + 11 + 14 = 73
4. [tex]\( \text{C}_2 \text{H}_5 \text{N}_3 \)[/tex]
- Carbon (C): 2 atoms × 12 = 24
- Hydrogen (H): 5 atoms × 1 = 5
- Nitrogen (N): 3 atoms × 14 = 42
Total = 24 + 5 + 42 = 71
5. [tex]\( \text{C}_5 \text{H}_{13} \)[/tex]
- Carbon (C): 5 atoms × 12 = 60
- Hydrogen (H): 13 atoms × 1 = 13
Total = 60 + 13 = 73
6. [tex]\( \text{C}_2 \text{H}_7 \text{O}_3 \)[/tex]
- Carbon (C): 2 atoms × 12 = 24
- Hydrogen (H): 7 atoms × 1 = 7
- Oxygen (O): 3 atoms × 16 = 48
Total = 24 + 7 + 48 = 79
### Comparison to Target Mass (73):
1. [tex]\( \text{C}_4 \text{H}_{11} \text{O} \)[/tex] = 75 (does not match)
2. [tex]\( \text{C}_2 \text{H}_7 \text{N}_3 \)[/tex] = 73 (matches)
3. [tex]\( \text{C}_4 \text{H}_{11} \text{N} \)[/tex] = 73 (matches)
4. [tex]\( \text{C}_2 \text{H}_5 \text{N}_3 \)[/tex] = 71 (does not match)
5. [tex]\( \text{C}_5 \text{H}_{13} \)[/tex] = 73 (matches)
6. [tex]\( \text{C}_2 \text{H}_7 \text{O}_3 \)[/tex] = 79 (does not match)
### Conclusion:
The molecular formulas [tex]\( \text{C}_2 \text{H}_7 \text{N}_3 \)[/tex], [tex]\( \text{C}_4 \text{H}_{11} \text{N} \)[/tex], and [tex]\( \text{C}_5 \text{H}_{13} \)[/tex] correspond to a molecular ion with an m/z of 73.
Since the question asks to select two of them, any two from these three will be correct. For example:
- [tex]\( \text{C}_2 \text{H}_7 \text{N}_3 \)[/tex]
- [tex]\( \text{C}_4 \text{H}_{11} \text{N} \)[/tex]
### Molecular Mass Calculations:
1. [tex]\( \text{C}_4 \text{H}_{11} \text{O} \)[/tex]
- Carbon (C): 4 atoms × 12 = 48
- Hydrogen (H): 11 atoms × 1 = 11
- Oxygen (O): 1 atom × 16 = 16
Total = 48 + 11 + 16 = 75
2. [tex]\( \text{C}_2 \text{H}_7 \text{N}_3 \)[/tex]
- Carbon (C): 2 atoms × 12 = 24
- Hydrogen (H): 7 atoms × 1 = 7
- Nitrogen (N): 3 atoms × 14 = 42
Total = 24 + 7 + 42 = 73
3. [tex]\( \text{C}_4 \text{H}_{11} \text{N} \)[/tex]
- Carbon (C): 4 atoms × 12 = 48
- Hydrogen (H): 11 atoms × 1 = 11
- Nitrogen (N): 1 atom × 14 = 14
Total = 48 + 11 + 14 = 73
4. [tex]\( \text{C}_2 \text{H}_5 \text{N}_3 \)[/tex]
- Carbon (C): 2 atoms × 12 = 24
- Hydrogen (H): 5 atoms × 1 = 5
- Nitrogen (N): 3 atoms × 14 = 42
Total = 24 + 5 + 42 = 71
5. [tex]\( \text{C}_5 \text{H}_{13} \)[/tex]
- Carbon (C): 5 atoms × 12 = 60
- Hydrogen (H): 13 atoms × 1 = 13
Total = 60 + 13 = 73
6. [tex]\( \text{C}_2 \text{H}_7 \text{O}_3 \)[/tex]
- Carbon (C): 2 atoms × 12 = 24
- Hydrogen (H): 7 atoms × 1 = 7
- Oxygen (O): 3 atoms × 16 = 48
Total = 24 + 7 + 48 = 79
### Comparison to Target Mass (73):
1. [tex]\( \text{C}_4 \text{H}_{11} \text{O} \)[/tex] = 75 (does not match)
2. [tex]\( \text{C}_2 \text{H}_7 \text{N}_3 \)[/tex] = 73 (matches)
3. [tex]\( \text{C}_4 \text{H}_{11} \text{N} \)[/tex] = 73 (matches)
4. [tex]\( \text{C}_2 \text{H}_5 \text{N}_3 \)[/tex] = 71 (does not match)
5. [tex]\( \text{C}_5 \text{H}_{13} \)[/tex] = 73 (matches)
6. [tex]\( \text{C}_2 \text{H}_7 \text{O}_3 \)[/tex] = 79 (does not match)
### Conclusion:
The molecular formulas [tex]\( \text{C}_2 \text{H}_7 \text{N}_3 \)[/tex], [tex]\( \text{C}_4 \text{H}_{11} \text{N} \)[/tex], and [tex]\( \text{C}_5 \text{H}_{13} \)[/tex] correspond to a molecular ion with an m/z of 73.
Since the question asks to select two of them, any two from these three will be correct. For example:
- [tex]\( \text{C}_2 \text{H}_7 \text{N}_3 \)[/tex]
- [tex]\( \text{C}_4 \text{H}_{11} \text{N} \)[/tex]
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Find clear and concise answers at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.
