High School

When 145.0 g of propane ([tex]C_3H_8[/tex], 44.1 g/mol) is reacted with 98.5 g of oxygen ([tex]O_2[/tex], 32.0 g/mol), what is the theoretical yield, in grams, of water ([tex]H_2O[/tex], 18.0 g/mol), according to the balanced equation below?

Answer :

When 145.0 g of propane (c3h8, 44.1 g/mol) is reacted with 98.5 g oxygen (32.0 g/mol), the theoretical yield, in grams, of water (18.0 /mol), according to the balanced equation below, is 44.28 g.

The balanced chemical equation for the reaction between propane and oxygen to yield water is: C3H8(g) + 5 O2(g) → 3 CO2(g) + 4 H2O(g)The stoichiometric ratio of propane to water is 1:4, meaning that for every 1 mole of propane, 4 moles of water are produced.

Molar mass of propane = 44.1 g/mol

Molar mass of oxygen = 32.0 g/mol

Molar mass of water = 18.0 g/mol

Now let's determine the limiting reactant. To do this, we need to convert the given masses of reactants to moles:

moles of propane = 145.0 g / 44.1 g/mol = 3.29 mol

moles of oxygen = 98.5 g / 32.0 g/mol = 3.08 mol

Since the stoichiometric ratio of propane to oxygen is 1:5, we see that oxygen is the limiting reactant.

Therefore, we will use the moles of oxygen to calculate the theoretical yield of water.

The stoichiometric ratio of oxygen to water is 5:4, meaning that for every 5 moles of oxygen, 4 moles of water are produced.

moles of water = (3.08 mol O2) x (4 mol H2O / 5 mol O2) = 2.46 mol H2O

Molar mass of water = 18.0 g/mol

The theoretical yield of water is therefore:

mass of water = (2.46 mol) x (18.0 g/mol) = 44.28 g

Therefore, the theoretical yield of water is 44.28 g.

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