Respuesta :
Answer: a) The maximum amount of calcium sulfate that can be formed is 112.9 grams
b) The formula for the limiting reagent is [tex]Ca(OH)_2[/tex]
c) 0.033 moles of excess reagent [tex](H_2SO_4)[/tex] are left unreacted.
Explanation:
To calculate the moles, we use the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text {Molar mass}}[/tex]
a) moles of [tex]H_2SO_4[/tex]
[tex]\text{Number of moles}=\frac{40.2g}{98g/mol}=0.410moles[/tex]
b) moles of [tex]Ca(OH)_2[/tex]
[tex]\text{Number of moles}=\frac{27.9g}{74g/mol}=0.377moles[/tex]
[tex]H_2SO_4(aq)+Ca(OH)_2(aq)\rightarrow CaSO_4(s)+2H_2O(l)[/tex]
According to stoichiometry :
1 moles of [tex]Ca(OH)_2([/tex] require 1 mole of [tex]H_2SO_4[/tex]
Thus 0.377 moles of [tex]Ca(OH)_2/tex] will require=[tex]\frac{1}{1}\times 0.377=0.377moles[/tex] of [tex]H_2SO_4[/tex]
Thus [tex]Ca(OH)_2[/tex] is the limiting reagent as it limits the formation of product and [tex]H_2SO_4[/tex] is the excess reagent as (0.410-0.377)= 0.033 moles of [tex]H_2SO_4[/tex] are left unreacted.
As 1 mole of [tex]Ca(OH)_2[/tex] give = 1 mole of [tex]CaSO_4[/tex]
Thus 0.83 moles of [tex]Ca(OH)_2[/tex] give =[tex]\frac{1}{1}\times 0.83=0.83moles[/tex] of [tex]CaSO_4[/tex]
Mass of [tex]CaSO_4=moles\times {\text {Molar mass}}=0.83moles\times 136g/mol=112.9g[/tex]
Thus 112.9 g of [tex]CaSO_4[/tex] will be produced from the given masses of both reactants.