What is the molecular mass of sulfuric acid, [tex]\( H_2SO_4 \)[/tex]?

| Element | Symbol | Atomic Mass (kg/mole) |
|----------|--------|------------------------|
| Sulfur | S | 0.0321 |
| Oxygen | O | 0.0160 |
| Hydrogen | H | 0.00101 |

(Unit = kg/mole)



Answer :

To determine the molecular mass of sulfuric acid [tex]\( H_2SO_4 \)[/tex], we'll follow these steps:

1. Identify the atomic masses of the elements involved:
- Hydrogen ([tex]\(H\)[/tex]): [tex]\(0.00101 \, \text{kg/mol}\)[/tex]
- Sulfur ([tex]\(S\)[/tex]): [tex]\(0.0321 \, \text{kg/mol}\)[/tex]
- Oxygen ([tex]\(O\)[/tex]): [tex]\(0.0160 \, \text{kg/mol}\)[/tex]

2. Determine the number of atoms of each element in the sulfuric acid molecule [tex]\( H_2SO_4 \)[/tex]:
- [tex]\(H\)[/tex]: 2 atoms
- [tex]\(S\)[/tex]: 1 atom
- [tex]\(O\)[/tex]: 4 atoms

3. Calculate the contribution of each element to the molecular mass of sulfuric acid:
- Contribution from hydrogen: [tex]\(2 \times 0.00101 \, \text{kg/mol} = 0.00202 \, \text{kg/mol}\)[/tex]
- Contribution from sulfur: [tex]\(1 \times 0.0321 \, \text{kg/mol} = 0.0321 \, \text{kg/mol}\)[/tex]
- Contribution from oxygen: [tex]\(4 \times 0.0160 \, \text{kg/mol} = 0.0640 \, \text{kg/mol}\)[/tex]

4. Sum the contributions for the total molecular mass:
[tex]\[ \text{Molecular mass of } H_2SO_4 = 0.00202 \, \text{kg/mol} + 0.0321 \, \text{kg/mol} + 0.0640 \, \text{kg/mol} = 0.09812 \, \text{kg/mol} \][/tex]

Thus, the molecular mass of sulfuric acid [tex]\( H_2SO_4 \)[/tex] is [tex]\(0.09812 \, \text{kg/mol}\)[/tex].

Answer:

The atomic masses given are:

- Hydrogen (): 0.00101 kg/mole

- Sulfur (): 0.0321 kg/mole

- Oxygen (): 0.0160 kg/mole

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