Answer :
The mole number of 50 g S is 1.563 mol. 105.0 g F2 is 2.763 mol. The ratio of S and F2 is 1:3. So the excess one is S. And mass left is 0.642*32=20.52 g.
Answer: The mass of excess reagent left is 20.48 g
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)
- For sulfur:
Given mass of sulfur = 50 g
Molar mass of sulfur = 32 g/mol
Putting values in equation 1, we get:
[tex]\text{Moles of sulfur}=\frac{50g}{32g/mol}=1.56mol[/tex]
- For fluorine gas:
Given mass of fluorine gas = 105 g
Molar mass of fluorine gas = 37.99 g/mol
Putting values in equation 1, we get:
[tex]\text{Moles of fluorine gas}=\frac{105g}{37.99g/mol}=2.76mol[/tex]
The chemical equation for the reaction of sulfur and fluorine gas follows:
[tex]S(g)+3F_2(g)\rightarrow SF_6(g)[/tex]
By Stoichiometry of the reaction:
3 moles of fluorine gas reacts with 1 mole of sulfur
So, 2.76 moles of fluorine gas will react with = [tex]\frac{1}{3}\times 2.76=0.92mol[/tex] of sulfur
As, given amount of sulfur is more than the required amount. So, it is considered as an excess reagent.
Thus, fluorine gas is considered as a limiting reagent because it limits the formation of product.
Moles of excess reagent (sulfur) left = 1.56 - 0.92 = 0.64 moles
- Now, calculating the mass of sulfur from equation 1, we get:
Molar mass of sulfur = 32 g/mol
Moles of sulfur = 0.64 moles
Putting values in equation 1, we get:
[tex]0.64mol=\frac{\text{Mass of sulfur}}{32g/mol}\\\\\text{Mass of sulfur}=20.48g[/tex]
Hence, the mass of excess reagent left is 20.48 g