Let's learn about limiting reactants using a simple sandwich-making analogy!Imagine we have ten slices of bread and four slices of cheese to make cheese sandwiches.Each sandwich requires two slices of bread and one slice of cheese.We've run out of cheese slices after making four sandwiches, even though we still have two slices of bread left.This makes cheese our limiting reactant - it determines the maximum number of sandwiches we can make.In the end, we made four sandwiches, used all our cheese, and have two slices of bread left over.In chemical reactions, we need to ensure we have the same number of atoms on both sides of the equation.Let's count the atoms on each side. On the left, we have two hydrogen atoms and two oxygen atoms.But on the right, we only have two hydrogen atoms and one oxygen atom. This equation is not balanced.To balance this equation, we need to add coefficients that make the number of atoms equal on both sides.We need two hydrogen molecules to provide four hydrogen atoms for two water molecules.And one oxygen molecule provides two oxygen atoms, enough for two water molecules.This gives us two water molecules on the product side.These coefficients give us the stoichiometric ratios - two hydrogen molecules react with one oxygen molecule to form two water molecules.When these molecules combine in this ratio, they form the products completely, with no excess reactants.This balanced equation ensures that all atoms are conserved in the reaction, following the law of conservation of mass.To determine the limiting reactant, we first need to convert our given masses to moles.We'll use the molar masses of each substance for these calculations.For sodium, we divide its mass of 46 grams by its molar mass of 23 grams per mole.For chlorine gas, we divide 71 grams by its molar mass of 71 grams per mole.Let's visualize how these molecules group into moles. A mole is a standard unit containing Avogadro's number of particles.By converting to moles, we can directly compare the amounts of different substances in our reaction, regardless of their individual masses.Now that we have our mole quantities, we can compare them to our balanced equation's stoichiometric ratios.For our balanced equation of two H₂ plus O₂ forming two H₂O, let's compare the available quantities to the required ratios.We have 6.0 moles of hydrogen gas and 4.0 moles of oxygen gas available.To find the limiting reactant, we'll compare how many times each reactant can satisfy its stoichiometric requirement.For hydrogen, we divide 6.0 moles available by 2 moles required, giving us 3.0 reaction equivalents.For oxygen, we divide 4.0 moles available by 1 mole required, giving us 4.0 reaction equivalents.Looking at the ratios, we can see that hydrogen can only form three complete sets of reactants.Since hydrogen can only form three complete reactions while oxygen could form four, hydrogen is our limiting reactant.For our final example, let's calculate the theoretical yield of nitrogen dioxide from the reaction of ammonia with oxygen.We start with 5.0 grams of ammonia and 8.0 grams of oxygen.First, let's convert our given masses to moles using the molar masses of each reactant.Next, we compare the moles available to the stoichiometric ratios in our balanced equation.Oxygen is our limiting reactant since it yields the smaller amount of product when compared stoichiometrically.Now we can calculate our theoretical yield of nitrogen dioxide using the limiting reactant.Finally, let's calculate how much ammonia remains unreacted.Let's review what we've learned about limiting reactants and theoretical yield calculations.Thanks for learning about theoretical yield calculations with Spark.E!
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