a) The limiting reactant is HCl.
b) The percentage excess reactant is 88.5%
c) The degree of completion of the reaction is 99.8%
d) The extent of reaction is 0.107
Explanation:
The oxidation of HCl with O₂ is:
In air, 78% is N₂ and O₂ is 21%
The initial mole fraction of gases is:
Y + X×0.78 + X×0.21 = 1
Where Y is the mole fraction of HCl and X is the mole fraction of air.
As Nitrogen doesn't react X×0.78 = 0.45. Thus,
X = 0.577.
a) For a complete reaction of 0,429 moles of HCl it is necessary:
0.429 moles HCl × = 0,10725 moles of O₂
As you have 0.577×0.21 = 0.1212 moles of O₂
The limiting reactant is HCl.
b) The percentage excess reactant is:
0.1075 moles / 0.1212 moles × 100 = 88.5%
c) As the percent of products is 21.4% + 21.4% = 42.8%
0.429 moles of HCl produce × = 0,2145 moles of Cl₂ that are the same than moles of H₂O.
As mole percent of Cl₂ and H₂O is 21.4%. The degree of completion of the reaction is:
0.214/0.2145×100 = 99.8%
d) The extent of reaction is defined as:
Where n are the final and initial moles of reactant and m is the stoichiometric coefficient.
For HCl the final moles are:
0.429 - 0.214 moles of Cl₂ produce × = 0.001 moles of HCl.
As initial moles are 0.429 and stoichiometric coefficient is 4, the extent of the reaction is 0.107
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