To determine the mass of 0.150 mol of [tex]\( N_2 \)[/tex], follow these steps:
1. Determine the molar mass of [tex]\( N_2 \)[/tex]:
- [tex]\( N_2 \)[/tex] (Nitrogen gas) consists of two nitrogen atoms.
- The atomic mass of one nitrogen atom ([tex]\( N \)[/tex]) is 14 g/mol.
- Therefore, the molar mass of [tex]\( N_2 \)[/tex] is [tex]\( 2 \times 14 \)[/tex] g/mol [tex]\( = 28 \)[/tex] g/mol.
2. Use the formula to calculate the mass:
- The formula to calculate the mass of a substance is:
[tex]\[
\text{Mass} = \text{Number of moles} \times \text{Molar mass}
\][/tex]
- Here, the number of moles [tex]\( n \)[/tex] is 0.150 mol, and the molar mass [tex]\( M \)[/tex] is 28 g/mol.
- Substituting the given values into the formula gives:
[tex]\[
\text{Mass} = 0.150 \, \text{mol} \times 28 \, \text{g/mol}
\][/tex]
3. Perform the multiplication to find the mass:
- [tex]\[
\text{Mass} = 4.20 \, \text{g}
\][/tex]
Therefore, the mass of 0.150 mol of [tex]\( N_2 \)[/tex] is [tex]\( 4.20 \)[/tex] grams. So the correct answer is:
[tex]\( 4.20 \)[/tex] g
