Question

Calculate the mass of 1 molecule of Nitrogen $\left({\mathrm{N}}_2\right)$. (Atomic mass of $\mathrm{N}=14$).

Answer 1

• The atomic mass of the Nitrogen atom is given as 14.
• Therefore,
• $$\begin{gathered} \text{Molar mass of}{\mathrm{N}}_2\mathrm{gas}=2\times 14 \\ =28\mathrm{g}/\mathrm{mol} \\ \mathrm{Mass}\mathrm{of}1\mathrm{mole}\mathrm{of}{\mathrm{N}}_2=28\mathrm{g} \\ \therefore \mathrm{Mass}\mathrm{of}6.022\times {10}^{23}\mathrm{molecules}\mathrm{of}{\mathrm{N}}_2=28\mathrm{g} \\ \mathrm{Massof}1\mathrm{molecule}\mathrm{of}{\mathrm{N}}_2=\frac{28\mathrm{g}}{6.022\times {10}^{23}}=4.65\times {10}^{-23}\mathrm{g} \end{gathered}$$
• Hence, the mass of 1 molecule of Nitrogen $\left({\mathrm{N}}_2\right)$ is $4.65\times {10}^{-23}\mathrm{g}$.