Carbon disulfide (CS2) undergoes a single displacement reaction with O2 to form CO2. If 100 grams of CS2 reacts with 38 grams of O2, what will the limiting reagent be?
CS2 + O2 CO2 + 2S
carbon disulfide (CS2)
carbon dioxide (CO2)
oxygen (O2)
sulfur (S)
sulfur dioxide (SO2)
Sulfur
oxygen
To determine the limiting reagent, we need to compare the amount of reactants available to the stoichiometric ratio in the balanced equation.
First, we calculate the molar masses of the reactants:
Molar mass of CS2 = 12.01 g/mol (C) + 32.07 g/mol (S) + 32.07 g/mol (S) = 76.15 g/mol
Molar mass of O2 = 16.00 g/mol (O) + 16.00 g/mol (O) = 32.00 g/mol
Next, we calculate the number of moles of each reactant:
Number of moles of CS2 = 100 g / 76.15 g/mol = 1.31 mol
Number of moles of O2 = 38 g / 32.00 g/mol = 1.19 mol
Now, we compare the moles of each reactant to the stoichiometric ratio.
From the balanced equation: 1 mol CS2 reacts with 1 mol O2.
In this case: 1.31 mol CS2 would react with 1.31 mol O2.
Since we have 1.19 mol of O2, which is less than the required amount of O2 for complete reaction (1.31 mol), O2 is the limiting reagent.
Therefore, the limiting reagent in this reaction is oxygen (O2).
To determine the limiting reagent in this reaction, we need to compare the number of moles of each reactant and see which one is present in the lowest amount.
First, we need to calculate the number of moles of each reactant. To do this, we use the molar mass of each compound.
The molar mass of CS2 (carbon disulfide) is 76.14 g/mol:
100 g of CS2 / 76.14 g/mol = 1.31 mol of CS2
The molar mass of O2 (oxygen) is 32.00 g/mol:
38 g of O2 / 32.00 g/mol = 1.19 mol of O2
Now we can compare the number of moles of each reactant. The mole ratio between CS2 and O2 in the balanced equation is 1:1. This means that for every 1 mole of CS2, we need 1 mole of O2.
Since we have 1.31 moles of CS2 and 1.19 moles of O2, we can see that the O2 is the limiting reagent because it is present in the smallest amount. The reaction will completely consume 1.19 moles of O2 and will leave some CS2 unreacted.
Therefore, the limiting reagent in this reaction is O2.