Which of the following has maximum mass?

Options

A. 0.1 moles of ammonia
B. 1120 cc of carbon dioxide at STP
C. 0.1g atom of carbon
D. `6.02 xx 10^(22)` molecules of `H_(2)` gas

Explanation

To determine which option has the maximum mass, we will calculate the mass for each of the given options step by step.

### Step 1: Calculate the mass of 0.1 moles of ammonia (NH₃)

1. **Molecular weight of ammonia (NH₃)**:
- Nitrogen (N) = 14 g/mol
- Hydrogen (H) = 1 g/mol
- Molecular weight of NH₃ = 14 + (3 × 1) = 17 g/mol

2. **Mass calculation**:
- Number of moles = 0.1
- Mass (w) = Number of moles × Molecular weight
- w = 0.1 × 17 = 1.7 g

### Step 2: Calculate the mass of 1120 cc of carbon dioxide (CO₂) at STP

1. **Volume of gas at STP**:
- 1 mole of gas occupies 2240 cc at STP.

2. **Calculate number of moles**:
- Number of moles = Volume / Volume at STP = 1120 cc / 2240 cc = 0.5 moles

3. **Molecular weight of carbon dioxide (CO₂)**:
- Carbon (C) = 12 g/mol
- Oxygen (O) = 16 g/mol
- Molecular weight of CO₂ = 12 + (2 × 16) = 44 g/mol

4. **Mass calculation**:
- Mass (w) = Number of moles × Molecular weight
- w = 0.5 × 44 = 22 g

### Step 3: Calculate the mass of 0.1 gram atom of carbon

1. **Molecular weight of carbon (C)**:
- Carbon = 12 g/mol

2. **Number of moles**:
- 0.1 gram atom of carbon = 0.1 moles

3. **Mass calculation**:
- Mass (w) = Number of moles × Molecular weight
- w = 0.1 × 12 = 1.2 g

### Step 4: Calculate the mass of 6.02 × 10²² molecules of hydrogen gas (H₂)

1. **Number of moles**:
- 1 mole contains 6.022 × 10²³ molecules.
- Number of moles = 6.02 × 10²² / 6.022 × 10²³ = 0.1 moles

2. **Molecular weight of hydrogen (H₂)**:
- Hydrogen (H) = 1 g/mol
- Molecular weight of H₂ = 2 × 1 = 2 g/mol

3. **Mass calculation**:
- Mass (w) = Number of moles × Molecular weight
- w = 0.1 × 2 = 0.2 g

### Step 5: Compare the masses calculated

- Mass of 0.1 moles of NH₃ = 1.7 g
- Mass of 1120 cc of CO₂ = 22 g
- Mass of 0.1 gram atom of carbon = 1.2 g
- Mass of 6.02 × 10²² molecules of H₂ = 0.2 g

### Conclusion

The option with the maximum mass is **1120 cc of carbon dioxide (CO₂)**, which has a mass of **22 grams**.

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