How many of g of S are required to produce 30 moles and 10 g of `H_(2)SO_(4)` respectively?

Options

A. 960g,3.265g
B. 440g,4.562g
C. 240g,1.452g
D. None of these

Explanation

To solve the problem of how many grams of sulfur (S) are required to produce 30 moles and 10 grams of H₂SO₄ respectively, we will follow these steps:

### Step 1: Understand the Composition of H₂SO₄
The chemical formula for sulfuric acid (H₂SO₄) indicates that one molecule contains one atom of sulfur (S). The molar mass of sulfur is approximately 32 g/mol.

### Step 2: Calculate the Amount of Sulfur for 30 Moles of H₂SO₄
1. **Determine the amount of sulfur in one mole of H₂SO₄**:
- In 1 mole of H₂SO₄, there is 1 mole of sulfur, which weighs 32 grams.

2. **Calculate the amount of sulfur in 30 moles of H₂SO₄**:
- Amount of sulfur = 30 moles × 32 g/mole = 960 grams.

### Step 3: Calculate the Amount of Sulfur for 10 grams of H₂SO₄
1. **Determine the molar mass of H₂SO₄**:
- The molar mass of H₂SO₄ is 98 g/mol.

2. **Calculate the number of moles in 10 grams of H₂SO₄**:
- Moles of H₂SO₄ = mass / molar mass = 10 g / 98 g/mol ≈ 0.102 moles.

3. **Calculate the amount of sulfur in 10 grams of H₂SO₄**:
- Since there is 1 mole of sulfur in 1 mole of H₂SO₄, the amount of sulfur in 0.102 moles of H₂SO₄ is:
- Amount of sulfur = 0.102 moles × 32 g/mole ≈ 3.265 grams.

### Final Results
- To produce **30 moles of H₂SO₄**, **960 grams** of sulfur is required.
- To produce **10 grams of H₂SO₄**, approximately **3.265 grams** of sulfur is required.