Which of the following has the highest mass?

Options

A. 20 g of sulphur
B. 4 mol of carbon dioxide
C. `12xx10^(24)` atoms of hydrogen
D. `11*2` L of helium at N.T.P.

Explanation

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

### Step 1: Calculate the mass of 20 g of sulfur
- The mass of sulfur is already given as 20 g.

### Step 2: Calculate the mass of 4 moles of carbon dioxide (CO2)
- Molar mass of CO2 = mass of carbon (C) + 2 × mass of oxygen (O)
- Molar mass of C = 12 g/mol
- Molar mass of O = 16 g/mol
- Therefore, molar mass of CO2 = 12 + (2 × 16) = 12 + 32 = 44 g/mol
- Now, calculate the mass for 4 moles:
\[ \text{Mass} = \text{Number of moles} \times \text{Molar mass} = 4 \, \text{mol} \times 44 \, \text{g/mol} = 176 \, \text{g} \]

### Step 3: Calculate the mass of 12 x 10^24 atoms of hydrogen
- We know that 1 mole of hydrogen contains 6.022 x 10^23 atoms (Avogadro's number).
- Therefore, the number of moles of hydrogen in 12 x 10^24 atoms is:
\[ \text{Number of moles} = \frac{12 \times 10^{24}}{6.022 \times 10^{23}} \approx 19.9 \, \text{mol} \]
- The mass of 1 mole of hydrogen is 1 g.
- Therefore, the mass of 19.9 moles of hydrogen is:
\[ \text{Mass} = 19.9 \, \text{mol} \times 1 \, \text{g/mol} \approx 19.9 \, \text{g} \]

### Step 4: Calculate the mass of 11.2 liters of helium at NTP
- At Normal Temperature and Pressure (NTP), 1 mole of any gas occupies 22.4 liters.
- Therefore, the number of moles in 11.2 liters of helium is:
\[ \text{Number of moles} = \frac{11.2 \, \text{liters}}{22.4 \, \text{liters/mol}} = 0.5 \, \text{mol} \]
- The molar mass of helium (He) is 4 g/mol.
- Therefore, the mass of 0.5 moles of helium is:
\[ \text{Mass} = 0.5 \, \text{mol} \times 4 \, \text{g/mol} = 2 \, \text{g} \]

### Step 5: Compare the masses
- Mass of sulfur = 20 g
- Mass of 4 moles of CO2 = 176 g
- Mass of 12 x 10^24 atoms of hydrogen = 19.9 g
- Mass of 11.2 liters of helium = 2 g

### Conclusion
The highest mass among the given options is from 4 moles of carbon dioxide, which is 176 g.

### Final Answer
**The option with the highest mass is 4 moles of carbon dioxide (CO2), which has a mass of 176 g.**

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