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Chemistry · Learn by Concept

Chemistry Help: Identify Limiting Reactants

Review real example questions for Identify Limiting Reactants in Chemistry.

Question 1 / 10

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Magnesium oxide forms according to 2Mg+O2→2MgO2\text{Mg} + \text{O}_2 \rightarrow 2\text{MgO}2Mg+O2​→2MgO. If 6.0 mol6.0 \text{ mol}6.0 mol of Mg and 2.0 mol2.0 \text{ mol}2.0 mol of O2\text{O}_2O2​ react, which reactant is in excess (left over after the reaction stops)?

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Question 1

Magnesium oxide forms according to 2Mg+O2→2MgO2\text{Mg} + \text{O}_2 \rightarrow 2\text{MgO}2Mg+O2​→2MgO. If 6.0 mol6.0 \text{ mol}6.0 mol of Mg and 2.0 mol2.0 \text{ mol}2.0 mol of O2\text{O}_2O2​ react, which reactant is in excess (left over after the reaction stops)?

  1. Mg is in excess. (correct answer)
  2. O2\text{O}_2O2​ is in excess.
  3. Neither is in excess; both are completely consumed.
  4. Both are in excess because products form before reactants are used up.

Explanation: This question tests your understanding of limiting reactants—the reactant that is completely consumed first in a reaction, thereby limiting the maximum amount of product that can form. When a reaction has multiple reactants with given amounts, usually one runs out before the others—this is the limiting reactant, and it determines how much product can possibly form because once it's gone, the reaction must stop even if other reactants remain (the excess reactants). To identify limiting reactant, you must compare what you HAVE (given moles) to what you NEED (calculated from mole ratios) for each reactant: for each reactant, use the mole ratio from the balanced equation to calculate how much of it would be needed if another reactant reacted completely. Whichever reactant you don't have enough of (need more than available) is the limiting reactant! For example, in 2H2+O2→2H2O2\text{H}_2 + \text{O}_2 \rightarrow 2\text{H}_2\text{O}2H2​+O2​→2H2​O with 333 moles H2\text{H}_2H2​ and 111 mole O2\text{O}_2O2​: if all the O2\text{O}_2O2​ reacts (111 mole), you'd need 222 moles H2\text{H}_2H2​ (from 2:12:12:1 ratio), and you have 333 moles H2\text{H}_2H2​—enough! But if all the H2\text{H}_2H2​ reacts (333 moles), you'd need 1.51.51.5 moles O2\text{O}_2O2​ (from 2:12:12:1 ratio), and you only have 111 mole O2\text{O}_2O2​—NOT enough! So O2\text{O}_2O2​ is limiting. For 2Mg+O2→2MgO2\text{Mg} + \text{O}_2 \rightarrow 2\text{MgO}2Mg+O2​→2MgO with 6.06.06.0 mol Mg and 2.02.02.0 mol O2\text{O}_2O2​, dividing gives Mg:6/2=36/2=36/2=3 and O2\text{O}_2O2​: 2/1=22/1=22/1=2, so O2\text{O}_2O2​ is limiting (smaller), meaning Mg is in excess. Choice A correctly identifies Mg as in excess by properly comparing the ratios showing O2\text{O}_2O2​ runs out first. Choice C fails by assuming perfect consumption without checking the mole ratios, which reveal O2\text{O}_2O2​ limits the reaction. The limiting reactant identification method: (1) Write the balanced equation and identify given amounts for each reactant. (2) Pick one reactant as reference—assume all of it reacts. (3) Calculate how much of each OTHER reactant would be needed for the reference reactant to completely react (use mole ratios). (4) Compare needed vs available for each: if needed is LESS than available, that reactant is excess. If needed is MORE than available, that reactant is limiting. (5) Whichever reactant you run short on (need more than you have) is the limiting reactant! Alternative quick method: divide each available amount by its coefficient; the SMALLEST result identifies limiting reactant. Both methods work—pick whichever makes more sense to you. After identifying limiting reactant, ALWAYS use IT for product calculations, not the excess reactant! The limiting reactant determines the maximum product—keep up the great work!

Question 2

Ammonia forms according to N2+3H2→2NH3.\text{N}_2 + 3\text{H}_2 \rightarrow 2\text{NH}_3.N2​+3H2​→2NH3​. If 2.0 mol2.0\ \text{mol}2.0 mol of N2\text{N}_2N2​ and 4.0 mol4.0\ \text{mol}4.0 mol of H2\text{H}_2H2​ are available, which reactant is limiting?

  1. N2\text{N}_2N2​ is limiting because its coefficient is 1.
  2. H2\text{H}_2H2​ is limiting because there is not enough to match the 1:31:31:3 ratio. (correct answer)
  3. N2\text{N}_2N2​ is limiting because it has fewer moles than H2\text{H}_2H2​.
  4. Both reactants are limiting and run out at the same time.

Explanation: This question tests your understanding of limiting reactants—the reactant that is completely consumed first in a reaction, thereby limiting the maximum amount of product that can form. When a reaction has multiple reactants with given amounts, usually one runs out before the others—this is the limiting reactant, and it determines how much product can possibly form because once it's gone, the reaction must stop even if other reactants remain (the excess reactants). To identify limiting reactant, you must compare what you HAVE (given moles) to what you NEED (calculated from mole ratios) for each reactant: for each reactant, use the mole ratio from the balanced equation to calculate how much of it would be needed if another reactant reacted completely. Whichever reactant you don't have enough of (need more than available) is the limiting reactant! For example, in 2H2+O2→2H2O2\text{H}_2 + \text{O}_2 \rightarrow 2\text{H}_2\text{O}2H2​+O2​→2H2​O with 3 moles of H2\text{H}_2H2​ and 1 mole of O2\text{O}_2O2​: if all the O2\text{O}_2O2​ reacts (1 mole), you'd need 2 moles H2\text{H}_2H2​ (from 2:1 ratio), and you have 3 moles H2\text{H}_2H2​—enough! But if all the H2\text{H}_2H2​ reacts (3 moles), you'd need 1.5 moles O2\text{O}_2O2​ (from 2:1 ratio), and you only have 1 mole O2\text{O}_2O2​—NOT enough! So O2\text{O}_2O2​ is limiting. In this case, for N2+3H2→2NH3\text{N}_2 + 3\text{H}_2 \rightarrow 2\text{NH}_3N2​+3H2​→2NH3​ with 2.0 mol of N2\text{N}_2N2​ and 4.0 mol of H2\text{H}_2H2​, assuming all N2\text{N}_2N2​ reacts requires 6.0 mol H2\text{H}_2H2​, but only 4.0 mol is available (not enough), while assuming all H2\text{H}_2H2​ reacts requires about 1.33 mol N2\text{N}_2N2​, and 2.0 mol is available (enough), so H2\text{H}_2H2​ is limiting. Choice B correctly identifies H2\text{H}_2H2​ as the limiting reactant by properly comparing needed vs available amounts using mole ratios from the balanced equation. Choice C fails by assuming fewer moles alone determine the limiting reactant, ignoring the 1:3 ratio which shows H2\text{H}_2H2​ is insufficient. The limiting reactant identification method: (1) Write the balanced equation and identify given amounts for each reactant. (2) Pick one reactant as reference—assume all of it reacts. (3) Calculate how much of each OTHER reactant would be needed for the reference reactant to completely react (use mole ratios). (4) Compare needed vs available for each: if needed is LESS than available, that reactant is excess. If needed is MORE than available, that reactant is limiting. (5) Whichever reactant you run short on (need more than you have) is the limiting reactant! Example: N2+3H2→2NH3\text{N}_2 + 3\text{H}_2 \rightarrow 2\text{NH}_3N2​+3H2​→2NH3​ with 2 moles N2\text{N}_2N2​, 5 moles H2\text{H}_2H2​. If 2 moles N2\text{N}_2N2​ reacts (reference), needs 6 moles H2\text{H}_2H2​ (from 1:3 ratio). Have only 5 moles H2\text{H}_2H2​ (not enough!). H2\text{H}_2H2​ is limiting. Alternative quick method: divide each available amount by its coefficient. Example: 2 moles N2\text{N}_2N2​ ÷ 1 = 2. 5 moles H2\text{H}_2H2​ ÷ 3 = 1.67. The SMALLEST result identifies limiting reactant (H2\text{H}_2H2​, with 1.67 < 2). This works because you're finding 'how many times can I run the reaction with each reactant?' Whichever gives the fewest runs is limiting! Both methods work—pick whichever makes more sense to you. After identifying limiting reactant, ALWAYS use IT for product calculations, not the excess reactant! The limiting reactant determines the maximum product—great job tackling this!

Question 3

Carbon dioxide forms by combustion: CH4+2O2→CO2+2H2O.\text{CH}_4 + 2\text{O}_2 \rightarrow \text{CO}_2 + 2\text{H}_2\text{O}.CH4​+2O2​→CO2​+2H2​O. If you have 4.0 mol4.0\ \text{mol}4.0 mol of CH4\text{CH}_4CH4​ and 6.0 mol6.0\ \text{mol}6.0 mol of O2\text{O}_2O2​, what is the maximum amount of CO2\text{CO}_2CO2​ that can form (in moles)?

  1. 2.0 mol2.0\ \text{mol}2.0 mol
  2. 3.0 mol3.0\ \text{mol}3.0 mol (correct answer)
  3. 4.0 mol4.0\ \text{mol}4.0 mol
  4. 6.0 mol6.0\ \text{mol}6.0 mol

Explanation: This question tests your understanding of limiting reactants—the reactant that is completely consumed first in a reaction, thereby limiting the maximum amount of product that can form. When a reaction has multiple reactants with given amounts, usually one runs out before the others—this is the limiting reactant, and it determines how much product can possibly form because once it's gone, the reaction must stop even if other reactants remain (the excess reactants). To identify limiting reactant, you must compare what you HAVE (given moles) to what you NEED (calculated from mole ratios) for each reactant: for each reactant, use the mole ratio from the balanced equation to calculate how much of it would be needed if another reactant reacted completely. Whichever reactant you don't have enough of (need more than available) is the limiting reactant! For example, in 2H2+O2→2H2O2\text{H}_2 + \text{O}_2 \rightarrow 2\text{H}_2\text{O}2H2​+O2​→2H2​O with 3 moles H2\text{H}_2H2​ and 1 mole O2\text{O}_2O2​: if all the O2\text{O}_2O2​ reacts (1 mole), you'd need 2 moles H2\text{H}_2H2​ (from 2:1 ratio), and you have 3 moles H2\text{H}_2H2​—enough! But if all the H2\text{H}_2H2​ reacts (3 moles), you'd need 1.5 moles O2\text{O}_2O2​ (from 2:1 ratio), and you only have 1 mole O2\text{O}_2O2​—NOT enough! So O2\text{O}_2O2​ is limiting. Here, for CH4+2O2→CO2+2H2O\text{CH}_4 + 2\text{O}_2 \rightarrow \text{CO}_2 + 2\text{H}_2\text{O}CH4​+2O2​→CO2​+2H2​O with 4.0 mol CH4\text{CH}_4CH4​ and 6.0 mol O2\text{O}_2O2​, dividing gives CH4:4/1=4 and O2:6/2=3, so O2 is limiting (smaller value); maximum CO2 is 3.0 mol based on O2 (since 6 mol O2 produces 3 mol CO2 using the 2:1 O2:CO2 ratio). Choice B correctly identifies the maximum CO2 as 3.0 mol by properly determining O2 as limiting and calculating product from it. Choice C fails by likely using the excess reactant CH4 for calculation, which overestimates since O2 runs out first. The limiting reactant identification method: (1) Write the balanced equation and identify given amounts for each reactant. (2) Pick one reactant as reference—assume all of it reacts. (3) Calculate how much of each OTHER reactant would be needed for the reference reactant to completely react (use mole ratios). (4) Compare needed vs available for each: if needed is LESS than available, that reactant is excess. If needed is MORE than available, that reactant is limiting. (5) Whichever reactant you run short on (need more than you have) is the limiting reactant! Alternative quick method: divide each available amount by its coefficient; the SMALLEST result identifies limiting reactant. Both methods work—pick whichever makes more sense to you. After identifying limiting reactant, ALWAYS use IT for product calculations, not the excess reactant! The limiting reactant determines the maximum product—you're doing awesome!

Question 4

Ammonia forms by  N2+3H2→2NH3 \,\text{N}_2 + 3\text{H}_2 \rightarrow 2\text{NH}_3\,N2​+3H2​→2NH3​. If you have 2.0 mol N22.0\ \text{mol N}_22.0 mol N2​ and 4.0 mol H24.0\ \text{mol H}_24.0 mol H2​, which reactant is limiting?

  1. N2\text{N}_2N2​ is limiting because it has fewer moles than H2\text{H}_2H2​.
  2. H2\text{H}_2H2​ is limiting because 2.0 mol N22.0\ \text{mol N}_22.0 mol N2​ would require 6.0 mol H26.0\ \text{mol H}_26.0 mol H2​, but only 4.0 mol H24.0\ \text{mol H}_24.0 mol H2​ is available. (correct answer)
  3. N2\text{N}_2N2​ is limiting because the coefficient of N2\text{N}_2N2​ is 1.
  4. Neither is limiting because H2\text{H}_2H2​ is in excess.

Explanation: This question tests your understanding of limiting reactants—the reactant that is completely consumed first in a reaction, thereby limiting the maximum amount of product that can form. When a reaction has multiple reactants with given amounts, usually one runs out before the others—this is the limiting reactant, and it determines how much product can possibly form because once it's gone, the reaction must stop even if other reactants remain (the excess reactants). For the reaction N₂ + 3H₂ → 2NH₃ with 2.0 mol N₂ and 4.0 mol H₂: if all 2.0 mol N₂ reacts, it needs 6.0 mol H₂ (from the 1:3 ratio), but we only have 4.0 mol H₂—not enough! So H₂ is limiting. If all 4.0 mol H₂ reacts, it needs 1.33 mol N₂ (from the 3:1 ratio), and we have 2.0 mol N₂—plenty! Choice B correctly identifies H₂ as limiting by calculating that 2.0 mol N₂ would require 6.0 mol H₂, but only 4.0 mol H₂ is available. Choice A incorrectly assumes the reactant with fewer moles is always limiting without considering the stoichiometric coefficients—H₂ needs three times as many moles as N₂. Alternative quick method: divide each available amount by its coefficient. 2.0 mol N₂ ÷ 1 = 2.0. 4.0 mol H₂ ÷ 3 = 1.33. The SMALLEST result identifies limiting reactant (H₂, with 1.33 < 2.0). This works because you're finding "how many times can I run the reaction with each reactant?" Whichever gives the fewest runs is limiting!

Question 5

Iron(III) oxide forms by  4Fe+3O2→2Fe2O3 \,4\text{Fe} + 3\text{O}_2 \rightarrow 2\text{Fe}_2\text{O}_3\,4Fe+3O2​→2Fe2​O3​. If you have 8.0 mol Fe8.0\ \text{mol Fe}8.0 mol Fe and 4.0 mol O24.0\ \text{mol O}_24.0 mol O2​, which reactant is limiting?

  1. Fe\text{Fe}Fe is limiting because it has more moles.
  2. O2\text{O}_2O2​ is limiting because 8.0 mol Fe8.0\ \text{mol Fe}8.0 mol Fe would require 6.0 mol O26.0\ \text{mol O}_26.0 mol O2​, but only 4.0 mol O24.0\ \text{mol O}_24.0 mol O2​ is available. (correct answer)
  3. Fe\text{Fe}Fe is limiting because the coefficient 4 is larger than 3.
  4. Both are limiting because they are not in a 1:1 ratio.

Explanation: This question tests your understanding of limiting reactants—the reactant that is completely consumed first in a reaction, thereby limiting the maximum amount of product that can form. When a reaction has multiple reactants with given amounts, usually one runs out before the others—this is the limiting reactant, and it determines how much product can possibly form because once it's gone, the reaction must stop even if other reactants remain (the excess reactants). For the reaction 4Fe + 3O₂ → 2Fe₂O₃ with 8.0 mol Fe and 4.0 mol O₂: if all 8.0 mol Fe reacts, it needs 6.0 mol O₂ (from the 4:3 ratio), but we only have 4.0 mol O₂—not enough! So O₂ is limiting. If all 4.0 mol O₂ reacts, it needs 5.33 mol Fe (from the 3:4 ratio), and we have 8.0 mol Fe—plenty! Choice B correctly identifies O₂ as limiting by calculating that 8.0 mol Fe would require 6.0 mol O₂, but only 4.0 mol O₂ is available. Choice C incorrectly focuses on coefficient size rather than the actual mole ratio calculation—the larger coefficient doesn't make that reactant limiting. The limiting reactant identification method: (1) Write the balanced equation and identify given amounts for each reactant. (2) Pick one reactant as reference—assume all of it reacts. (3) Calculate how much of each OTHER reactant would be needed for the reference reactant to completely react (use mole ratios). (4) Compare needed vs available for each: if needed is MORE than available, that reactant is limiting. Quick verification: 8.0 mol Fe ÷ 4 = 2.0, and 4.0 mol O₂ ÷ 3 = 1.33, so O₂ is limiting (smaller value).

Question 6

Magnesium oxide forms by  2Mg+O2→2MgO \,2\text{Mg} + \text{O}_2 \rightarrow 2\text{MgO}\,2Mg+O2​→2MgO. If you start with 6.0 mol Mg6.0\ \text{mol Mg}6.0 mol Mg and 2.0 mol O22.0\ \text{mol O}_22.0 mol O2​, which reactant is in excess (left over after the reaction stops)?

  1. Mg\text{Mg}Mg is in excess. (correct answer)
  2. O2\text{O}_2O2​ is in excess.
  3. Neither reactant is in excess; both are completely consumed.
  4. Both reactants are in excess.

Explanation: This question tests your understanding of limiting reactants—the reactant that is completely consumed first in a reaction, thereby limiting the maximum amount of product that can form. When a reaction has multiple reactants with given amounts, usually one runs out before the others—this is the limiting reactant, and it determines how much product can possibly form because once it's gone, the reaction must stop even if other reactants remain (the excess reactants). For the reaction 2Mg + O₂ → 2MgO with 6.0 mol Mg and 2.0 mol O₂: if all 6.0 mol Mg reacts, it needs 3.0 mol O₂ (from the 2:1 ratio), but we only have 2.0 mol O₂—not enough! So O₂ is limiting. If all 2.0 mol O₂ reacts, it needs 4.0 mol Mg (from the 1:2 ratio), and we have 6.0 mol Mg—plenty! Since O₂ is limiting and Mg is needed in lesser amount than available, Mg is in excess. Choice A correctly identifies Mg as the excess reactant because when O₂ (the limiting reactant) is completely consumed, there will still be Mg left over. Choice B incorrectly identifies O₂ as excess when it's actually the limiting reactant that runs out first. The excess reactant is always the one that ISN'T limiting—after the limiting reactant is consumed and the reaction stops, the excess reactant will have some amount remaining. Quick calculation: O₂ uses 4.0 mol Mg, leaving 6.0 - 4.0 = 2.0 mol Mg in excess.

Question 7

Water forms by: 2H2+O2→2H2O2\text{H}_2 + \text{O}_2 \rightarrow 2\text{H}_2\text{O}2H2​+O2​→2H2​O If 8.0 mol8.0\,\text{mol}8.0mol of H2\text{H}_2H2​ reacts with 3.0 mol3.0\,\text{mol}3.0mol of O2\text{O}_2O2​, which statement is correct?

  1. H2\text{H}_2H2​ is limiting, so O2\text{O}_2O2​ is in excess
  2. O2\text{O}_2O2​ is limiting, so H2\text{H}_2H2​ is in excess (correct answer)
  3. Both reactants are limiting
  4. Both reactants are in excess

Explanation: This question tests your understanding of limiting reactants—the reactant that is completely consumed first in a reaction, thereby limiting the maximum amount of product that can form. When a reaction has multiple reactants with given amounts, usually one runs out before the others—this is the limiting reactant, and it determines how much product can possibly form because once it's gone, the reaction must stop even if other reactants remain (the excess reactants). To identify limiting reactant, you must compare what you HAVE (given moles) to what you NEED (calculated from mole ratios) for each reactant: for each reactant, use the mole ratio from the balanced equation to calculate how much of it would be needed if another reactant reacted completely. Whichever reactant you don't have enough of (need more than available) is the limiting reactant! For example, in 2H2+O2→2H2O2\text{H}_2 + \text{O}_2 \rightarrow 2\text{H}_2\text{O}2H2​+O2​→2H2​O with 3 moles H2\text{H}_2H2​ and 1 mole O2\text{O}_2O2​: if all the O2\text{O}_2O2​ reacts (1 mole), you'd need 2 moles H2\text{H}_2H2​ (from 2:12:12:1 ratio), and you have 3 moles H2\text{H}_2H2​—enough! But if all the H2\text{H}_2H2​ reacts (3 moles), you'd need 1.5 moles O2\text{O}_2O2​ (from 2:12:12:1 ratio), and you only have 1 mole O2\text{O}_2O2​—NOT enough! So O2\text{O}_2O2​ is limiting. With 8.0 mol H2\text{H}_2H2​ and 3.0 mol O2\text{O}_2O2​, O2\text{O}_2O2​ is limiting (3/1=33/1=33/1=3 vs 8/2=48/2=48/2=4), so H2\text{H}_2H2​ is in excess. Choice B correctly states O2\text{O}_2O2​ is limiting and H2\text{H}_2H2​ is in excess by comparing the quotients properly. Choice A reverses it, likely from not dividing by coefficients correctly. The limiting reactant identification method: (1) Write the balanced equation and identify given amounts for each reactant. (2) Pick one reactant as reference—assume all of it reacts. (3) Calculate how much of each OTHER reactant would be needed for the reference reactant to completely react (use mole ratios). (4) Compare needed vs available for each: if needed is LESS than available, that reactant is excess. If needed is MORE than available, that reactant is limiting. (5) Whichever reactant you run short on (need more than you have) is the limiting reactant! Example: N2+3H2→2NH3\text{N}_2 + 3\text{H}_2 \rightarrow 2\text{NH}_3N2​+3H2​→2NH3​ with 2 moles N2\text{N}_2N2​, 5 moles H2\text{H}_2H2​. If 2 moles N2\text{N}_2N2​ reacts (reference), needs 6 moles H2\text{H}_2H2​ (from 1:31:31:3 ratio). Have only 5 moles H2\text{H}_2H2​ (not enough!). H2\text{H}_2H2​ is limiting. Alternative quick method: divide each available amount by its coefficient. Example: 2 moles N2\text{N}_2N2​ ÷ 1 = 2. 5 moles H2\text{H}_2H2​ ÷ 3 = 1.67. The SMALLEST result identifies limiting reactant (H2\text{H}_2H2​, with 1.67 < 2). This works because you're finding "how many times can I run the reaction with each reactant?" Whichever gives the fewest runs is limiting! Both methods work—pick whichever makes more sense to you. After identifying limiting reactant, ALWAYS use IT for product calculations, not the excess reactant! The limiting reactant determines the maximum product.

Question 8

Carbon monoxide reacts with oxygen as: 2CO+O2→2CO22\text{CO} + \text{O}_2 \rightarrow 2\text{CO}_22CO+O2​→2CO2​ If 6.0 mol6.0\,\text{mol}6.0mol of CO and 2.0 mol2.0\,\text{mol}2.0mol of O2\text{O}_2O2​ are available, which reactant is the limiting reactant?

  1. CO is limiting
  2. O2\text{O}_2O2​ is limiting (correct answer)
  3. Both are limiting
  4. Neither is limiting

Explanation: This question tests your understanding of limiting reactants—the reactant that is completely consumed first in a reaction, thereby limiting the maximum amount of product that can form. When a reaction has multiple reactants with given amounts, usually one runs out before the others—this is the limiting reactant, and it determines how much product can possibly form because once it's gone, the reaction must stop even if other reactants remain (the excess reactants). To identify limiting reactant, you must compare what you HAVE (given moles) to what you NEED (calculated from mole ratios) for each reactant: for each reactant, use the mole ratio from the balanced equation to calculate how much of it would be needed if another reactant reacted completely. Whichever reactant you don't have enough of (need more than available) is the limiting reactant! For example, in 2H2+O2→2H2O2\text{H}_2 + \text{O}_2 \rightarrow 2\text{H}_2\text{O}2H2​+O2​→2H2​O with 333 moles H2_22​ and 111 mole O2_22​: if all the O2_22​ reacts (111 mole), you'd need 222 moles H2_22​ (from 2:1 ratio), and you have 333 moles H2_22​—enough! But if all the H2_22​ reacts (333 moles), you'd need 1.51.51.5 moles O2_22​ (from 2:1 ratio), and you only have 111 mole O2_22​—NOT enough! So O2_22​ is limiting. Here, with 6.06.06.0 mol CO and 2.02.02.0 mol O2_22​, O2_22​ is limiting because assuming all CO reacts requires 3.03.03.0 mol O2_22​ but only 2.02.02.0 mol is available, while assuming all O2_22​ reacts requires 4.04.04.0 mol CO and 6.06.06.0 mol is available (ratios 2:1). Choice B correctly identifies O2_22​ as the limiting reactant through accurate ratio comparisons. Choice A fails by mistakenly claiming CO limits, possibly from not checking the needed amounts properly. The limiting reactant identification method: (1) Write the balanced equation and identify given amounts for each reactant. (2) Pick one reactant as reference—assume all of it reacts. (3) Calculate how much of each OTHER reactant would be needed for the reference reactant to completely react (use mole ratios). (4) Compare needed vs available for each: if needed is LESS than available, that reactant is excess. If needed is MORE than available, that reactant is limiting. (5) Whichever reactant you run short on (need more than you have) is the limiting reactant! Example: N2+3H2→2NH3\text{N}_2 + 3\text{H}_2 \rightarrow 2\text{NH}_3N2​+3H2​→2NH3​ with 2 moles N2, 5 moles H2. If 2 moles N2 reacts (reference), needs 6 moles H2 (from 1:3 ratio). Have only 5 moles H2 (not enough!). H2 is limiting. Alternative quick method: divide each available amount by its coefficient. Example: 2 moles N2 ÷ 1 = 2. 5 moles H2 ÷ 3 = 1.67. The SMALLEST result identifies limiting reactant (H2, with 1.67 < 2). This works because you're finding "how many times can I run the reaction with each reactant?" Whichever gives the fewest runs is limiting! Both methods work—pick whichever makes more sense to you. After identifying limiting reactant, ALWAYS use IT for product calculations, not the excess reactant! The limiting reactant determines the maximum product.

Question 9

Sulfur trioxide forms by  2SO2+O2→2SO3 \,2\text{SO}_2 + \text{O}_2 \rightarrow 2\text{SO}_3\,2SO2​+O2​→2SO3​. If you start with 1.0 mol SO21.0\ \text{mol SO}_21.0 mol SO2​ and 2.0 mol O22.0\ \text{mol O}_22.0 mol O2​, which reactant is limiting?

  1. O2\text{O}_2O2​ is limiting because it has a coefficient of 1.
  2. SO2\text{SO}_2SO2​ is limiting because 1.0 mol SO21.0\ \text{mol SO}_21.0 mol SO2​ needs only 0.5 mol O20.5\ \text{mol O}_20.5 mol O2​, so O2\text{O}_2O2​ is in excess. (correct answer)
  3. O2\text{O}_2O2​ is limiting because it has fewer moles than SO2\text{SO}_2SO2​.
  4. Both are limiting because there are two reactants.

Explanation: This question tests your understanding of limiting reactants—the reactant that is completely consumed first in a reaction, thereby limiting the maximum amount of product that can form. When a reaction has multiple reactants with given amounts, usually one runs out before the others—this is the limiting reactant, and it determines how much product can possibly form because once it's gone, the reaction must stop even if other reactants remain (the excess reactants). For the reaction 2SO₂ + O₂ → 2SO₃ with 1.0 mol SO₂ and 2.0 mol O₂: if all 1.0 mol SO₂ reacts, it needs 0.5 mol O₂ (from the 2:1 ratio), and we have 2.0 mol O₂—plenty! If all 2.0 mol O₂ reacts, it needs 4.0 mol SO₂ (from the 1:2 ratio), but we only have 1.0 mol SO₂—not enough! So SO₂ is limiting. Choice B correctly identifies SO₂ as limiting by recognizing that 1.0 mol SO₂ needs only 0.5 mol O₂, leaving O₂ in excess. Choice C incorrectly assumes the reactant with fewer moles is always limiting without considering stoichiometry—O₂ has more moles but isn't limiting because the reaction needs twice as much SO₂ as O₂. Alternative quick method: divide each available amount by its coefficient. 1.0 mol SO₂ ÷ 2 = 0.5. 2.0 mol O₂ ÷ 1 = 2.0. The SMALLEST result identifies limiting reactant (SO₂, with 0.5 < 2.0). With SO₂ limiting, only 0.5 mol O₂ will react, leaving 1.5 mol O₂ in excess.

Question 10

Hydrogen chloride forms by the reaction  H2+Cl2→2HCl \,H_2 + Cl_2 \rightarrow 2HCl\,H2​+Cl2​→2HCl. If 1.0 mol H2H_2H2​ and 3.0 mol Cl2Cl_2Cl2​ are available, what is the maximum amount of HClHClHCl that can form?

  1. 1.0 mol HClHClHCl
  2. 2.0 mol HClHClHCl (correct answer)
  3. 3.0 mol HClHClHCl
  4. 6.0 mol HClHClHCl

Explanation: This question tests your understanding of limiting reactants—the reactant that is completely consumed first in a reaction, thereby limiting the maximum amount of product that can form. When a reaction has multiple reactants with given amounts, usually one runs out before the others—this is the limiting reactant, and it determines how much product can possibly form because once it's gone, the reaction must stop even if other reactants remain (the excess reactants). For the reaction H₂ + Cl₂ → 2HCl with 1.0 mol H₂ and 3.0 mol Cl₂: if all 1.0 mol H₂ reacts, it would need 1.0 mol Cl₂ (using the 1:1 ratio), and we have 3.0 mol Cl₂—more than enough! If all 3.0 mol Cl₂ reacts, it would need 3.0 mol H₂ (1:1 ratio), but only 1.0 mol H₂ is available—not enough! Since H₂ is limiting, we calculate the maximum HCl from it: 1.0 mol H₂ × (2 mol HCl/1 mol H₂) = 2.0 mol HCl. Choice B correctly gives 2.0 mol HCl as the maximum amount that can form when H₂ is the limiting reactant. Choice D incorrectly uses the excess reactant (Cl₂) for the calculation, which would give 6.0 mol HCl, but we can't make that much because H₂ runs out first. The limiting reactant identification method: (1) Write the balanced equation and identify given amounts for each reactant. (2) Pick one reactant as reference—assume all of it reacts. (3) Calculate how much of each OTHER reactant would be needed for the reference reactant to completely react (use mole ratios). (4) Compare needed vs available for each: if needed is MORE than available, that reactant is limiting. (5) ALWAYS use the limiting reactant to calculate the maximum product! Alternative quick method: divide each available amount by its coefficient: 1.0 mol H₂ ÷ 1 = 1.0 and 3.0 mol Cl₂ ÷ 1 = 3.0. The SMALLEST result (1.0 for H₂) identifies the limiting reactant. Since the product coefficient is 2, multiply by 2: 1.0 × 2 = 2.0 mol HCl!