How do you find the limiting reactant?

Finding the limiting reactant means figuring out which ingredient in a chemical reaction will run out first. Think of building bicycles: if you have 10 frames and 14 wheels, you can only build 7 bikes. The wheels run out first, so they limit your production, even though you still have frames left over.<br><br>In chemistry, molecules don't combine gram-by-gram; they combine piece-by-piece. To find the limiting reactant, we must convert our starting materials into moles, compare them to the recipe (the balanced chemical equation), and see which one produces the smallest amount of product. The reactant that runs out first dictates exactly how much product you can make.

What is a limiting reactant?

By definition, the limiting reactant is the substance that is totally consumed when a chemical reaction is complete. The amount of product formed is entirely dependent on this reactant. Any other reactants that are not fully consumed are called excess reactants. Because elements and compounds have different molar masses, you cannot simply look at the starting mass in grams to know which one will run out first.

The step-by-step method

To find the limiting reactant, you generally follow three steps. First, ensure your chemical equation is balanced. Second, convert the given amounts of all reactants from grams (or liters) into moles. Third, divide the moles of each reactant by its stoichiometric coefficient from the balanced equation. The reactant with the smallest resulting number is your limiting reactant. This normalized number tells you how many 'reaction cycles' each reactant can support.

Where students slip up

The most common mistake is skipping the mole conversion and simply comparing the starting masses in grams. A heavier molecule might have a large mass but represent very few actual particles. Always convert to moles first. Another common trap is forgetting to divide by the coefficients. If a reaction needs 3 moles of hydrogen for every 1 mole of nitrogen, you must account for that 3-to-1 ratio before deciding which runs out first.

Worked through

Consider the synthesis of ammonia: N2+3H22NH3N_2 + 3H_2 \rightarrow 2NH_3 If you start with 14.0 g of N2N_2 and 6.0 g of H2H_2, what is the limiting reactant?

Step 1: Convert both starting masses to moles.<br><br>Moles of N2N_2 = 14.0 g / 28.0 g/mol = 0.50 mol N2N_2<br>Moles of H2H_2 = 6.0 g / 2.0 g/mol = 3.0 mol H2H_2<br><br>Step 2: Divide each mole value by its coefficient from the balanced equation.<br><br>For N2N_2: 0.50 / 1 = 0.50<br>For H2H_2: 3.0 / 3 = 1.0<br><br>Step 3: Compare the values.<br><br>Since 0.50 is less than 1.0, Nitrogen (N2N_2) will run out first. Therefore, N2N_2 is the limiting reactant.

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Where this comes from: OpenStax Chemistry 2e: Chapter 4 · Khan Academy: Stoichiometry Unit · Chemistry: The Central Science by Brown, LeMay, Bursten

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