Answer:
[tex]6.022\cdot 10^{23}[/tex] molecules of nitrogen gas
Explanation:
In order to convert the mass of a given compound into the number of molecules, we need to:
- identify the number of moles of a given compound dividing its mass by the molar mass, [tex]n = \frac{m}{M}[/tex],
- multiply the number of moles by the Avogadro's constant which tells us that 1 mole contains [tex]N_A = 6.022\cdot 10^{23}[/tex] molecules.
In this problem:
[tex]m_{N_2} = 28~g[/tex]
[tex]M_{N_2} = 28.01~g/mol[/tex]
The number of particles is then found by:
[tex]N_{N_2} = n_{N_2}\cdot N_A = \frac{m_{N_2}}{M_{N_2}} N_A = \frac{28 g}{28.01 g/mol}\cdot 6.022\cdot 10^{23} mol^{-1} = 6.022\cdot 10^{23}[/tex]
