Answer:Mass NaN3 = 222.73 grams
Explanations:
GIVEN:
• mass of N2 =, 144 g
,
• Molecular Mass N2 = ,28.02 g/mol
,
• Molecular Mass NaN3 = ,65,0099 g/mol
The balanced equation of the chemical reaction is given by :
![2NaN_3\Rightarrow\text{ 2Na+3N}_2](https://img.qammunity.org/2023/formulas/chemistry/college/cubz9weat4vi1uk61qdjmkrlf8ldwf5s72.png)
(i) Calculate moles of N2
![\begin{gathered} Moles\text{ N2 = }\frac{Mass\text{ N}_2}{Molecular\text{ Mass N}_2} \\ \text{ =}(144g)/(28.02g)*mol \\ \text{ =5.14 moles N}_2 \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/7g5eeryjclipoaq57ead54b44mlyc8j8wr.png)
This means that 5.14 moles are produced from NaN3
(ii) Determine moles and mass of NaN3 needed to produce 144 grams of N2.
by stoichiometry, we can see that :
• 2 Moles of NaN3 produces 3 moles N2
,
• X moles of NaN3 produces 5.14 moles N2
Therefore;
X Moles NaN3 =( 5.14 moles N2 *2 moles NaN3 )/ 3 moles N2
=3.43 moles of NaN3
Then ; Mass of NaN3 will be calculated as :
![\begin{gathered} Mass\text{ NaN}_3\text{= MolesNaN}_3\text{ * Molecular Mass NaN}_3\text{ } \\ \text{ = 3.43 moles * 65.0099g/mol} \\ \text{ =222.73 grams } \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/74qypfqi8efn5rmi680pd50yihf9d49acs.png)
This means that Mass of NaN3 needed to produce 144g of N2 = 222.73 grams