An Organic Compound That Has The Empirical Formula CHO Has A Molecular Mass Of 174 Amu. Its Molecular Formula Is C2H202 C6H606 C12H12O12 CoH9O9 CaHgOg
The Correct Answer and Explanation is :
The molecular mass of the compound is 174 amu, and its empirical formula is CHO. We are tasked with determining its molecular formula.
Step 1: Calculate the empirical formula mass.
The empirical formula is CHO. To find the empirical formula mass, we need to sum the atomic masses of carbon (C), hydrogen (H), and oxygen (O):
- Carbon (C) has an atomic mass of approximately 12 g/mol.
- Hydrogen (H) has an atomic mass of approximately 1 g/mol.
- Oxygen (O) has an atomic mass of approximately 16 g/mol.
So, the empirical formula mass is:
[
\text{Empirical formula mass} = 12 (\text{C}) + 1 (\text{H}) + 16 (\text{O}) = 29 \, \text{g/mol}
]
Step 2: Determine the multiple of the empirical formula.
The molecular mass is given as 174 amu. To find the multiple of the empirical formula that fits the molecular mass, divide the molecular mass by the empirical formula mass:
[
\frac{\text{Molecular mass}}{\text{Empirical formula mass}} = \frac{174}{29} = 6
]
This means the molecular formula is 6 times the empirical formula.
Step 3: Calculate the molecular formula.
Since the empirical formula is CHO, the molecular formula is obtained by multiplying the elements by 6:
[
\text{Molecular formula} = (C_1H_1O_1) \times 6 = C_6H_6O_6
]
Thus, the molecular formula is C6H6O6.
Conclusion:
The correct molecular formula for the compound with the empirical formula CHO and a molecular mass of 174 amu is C6H6O6. This corresponds to one of the provided options, and it represents a compound with six carbon atoms, six hydrogen atoms, and six oxygen atoms. A well-known example of a compound with this formula is glucose (C6H12O6), though the compound here has a slightly different structure due to the specific molecular mass provided.