Answer: C.) K is limiting, 11.2 g of [tex]K_2O[/tex] formed
Explanation:
To calculate the number of moles, we use the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex]
Putting in the values we get:
[tex]\text{Number of moles of potassium}=\frac{9.30g}{39.10g/mol}=0.238moles[/tex]
[tex]\text{Number of moles of oxygen}=\frac{2.50g}{31.99g/mol}=0.0781moles[/tex]
[tex]4K+O_2\rightarrow 2K_2O[/tex]
According to stoichiometry :
4 moles of [tex]K[/tex] require 1 mole of [tex]O_2[/tex]
Thus 0.238 moles of [tex]K[/tex] will require=[tex]\frac{1}{4}\times 0.238=0.0595moles[/tex] of [tex]O_2[/tex]
Thus [tex]K[/tex] is the limiting reagent as it limits the formation of product and [tex]O_2[/tex] is the excess reagent.
As 4 moles of [tex]K[/tex] give = 2 moles of [tex]K_2O[/tex]
Thus 0.238 moles of [tex]K[/tex] will give =[tex]\frac{2}{4}\times 0.238=0.119moles[/tex] of [tex]AgCl[/tex]
Mass of [tex]K_2O=moles\times {\text {Molar mass}}=0.119moles\times 94.2g/mol=11.2g[/tex]
Thus K is limiting and 11.2 g of [tex]K_2O[/tex] will be formed.