Question

If you have 6000 Oxygen (O) atoms how many grams of Oxygen (O) do you have ?O 1.59x10-19 gramsO 5.78x1028 gramsO 6.22x10-22 gramsO 9.96x10-21 gramsO 3.61x1027 grams

Answer 1

ANSWER

$\text{ The mass of oxygen in grams is 1.59}\times10^{-19}\text{ grams}$

EXPLANATION

Given that:

$\text{ The number of atoms of oxygen is 6000}$

To calculate the amount of oxygen in grams, follow the steps below

Step 1: Find the number of moles using the below formula

$\text{ Mole }=\frac{number\text{ of atoms}}{Avogadro^{\prime}s\text{ number}}$

Recall, that the Avogadro's number is 6.022 x 10^23

$\begin{gathered} \text{ Mole }=\frac{6000}{6.022\times10^{23}} \\ \\ \text{ Mole}=\frac{6\times10^3}{6.022\times10^{23}} \\ \\ \text{ Mole }=\text{ }\frac{6}{6.022}\times10^{3-23} \\ 0.9963\times10^{-20} \\ 9.9963\times10^{-21}\text{ mole} \end{gathered}$

Step 2; Find the amount of oxygen in grams using the below formula

$\begin{gathered} \text{ Mole }=\frac{\text{ mass}}{\text{ molar mass}} \\ \text{ cross multiply} \\ \text{ mass }=\text{ mole }\times\text{ molar mass} \end{gathered}$

Recall, that the molar mass of oxygen is 16 g/mol

$\begin{gathered} mass=\text{ mole }\times\text{ molar mass} \\ \text{ mass }=\text{ 9.9963}\times10^{-21}\times\text{ 16} \\ \text{ mass }=\text{ 9.9963}\times16\times10^{-21} \\ \text{ mass }=\text{ 159.94}\times10^{-21} \\ \text{ mass }=\text{ 1.59}\times10^2\times10^{-21} \\ \text{ mass }=\text{ 1.59}\times10^{2-21} \\ \text{ mass }=\text{ 1.59}\times10^{-19}\text{ grams} \end{gathered}$