Answer: The correct answer is Option B.
Explanation:
To calculate the number of moles, we use the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex] ....(1)
Given mass of nitrogen gas = 10 g
Molar mass of nitrogen gas = 28 g/mol
Putting values in above equation, we get:
[tex]\text{Moles of iron oxide}=\frac{10g}{28g/mol}=0.357mol[/tex]
The given chemical reaction follows:
[tex]N_2+O_2\rightarrow 2NO[/tex]
As, oxygen gas is present in excess. Thus, it is considered as an excess reagent and nitrogen is considered as a limiting reagent because it limits the formation of products.
By Stoichiometry of the reaction:
1 mole of nitrogen gas produces 2 moles of nitrogen oxide.
So, 0.357 moles of nitrogen gas will produce = [tex]\frac{2}{1}\times 0.357=0.714mol[/tex] of nitrogen oxide.
Now, calculating mass of nitrogen oxide by putting values in equation 1, we get:
Moles of nitrogen oxide = 0.714 mol
Molar mass of nitrogen oxide = 30 g/mol
Putting values in equation 1, we get:
[tex]0.714mol=\frac{\text{Mass of nitrogen oxide}}{30g/mol}\\\\\text{Mass of nitrogen oxide}=21.4g[/tex]
Hence, the correct answer is Option B.