30 Stoichiometry Problems to Practice On (With Step-by-Step Solutions)

30 stoichiometry practice problems covering mole-mole, mass-mass, limiting reactant, and percent yield calculations. Each one has an expandable step-by-step solution.

By Petrus Sheya

July 28, 2026 · 16 min read

30 Stoichiometry Problems to Practice On

How do you actually get good at stoichiometry? Not by reading about it. By doing it, over and over, until the pattern clicks.

Balance the equation. Find the mole ratio. Convert, convert, convert. That's the whole game, and it becomes automatic once you've run it enough times.

So that's what we're doing here: thirty problems, starting with simple mole-ratio questions and building up to limiting reactant and percent yield.

One rule. Try each problem yourself before you open the solution. That's where the real learning happens, not in reading someone else's steps. Every problem below has a Show step-by-step solution toggle with the full reasoning and the final answer.

Section 1: Mole-to-Mole Conversions

Start here. You're given moles of one substance and asked for moles of another, and the coefficients in the balanced equation are the only tool you need. Get comfortable with this move first. Everything below just adds a conversion step or two on top of it.

Problem 1

Given the reaction N2+3H22NH3N_2 + 3H_2 \rightarrow 2NH_3, how many moles of NH3NH_3 are produced from 4 moles of N2N_2?

Step 1: Identify the mole ratio. From the balanced equation, the coefficient ratio of N2N_2 to NH3NH_3 is 1:21:2.

Step 2: Apply the ratio. 4 mol N2×2 mol NH31 mol N2=8 mol NH34 \text{ mol } N_2 \times \frac{2 \text{ mol } NH_3}{1 \text{ mol } N_2} = 8 \text{ mol } NH_3

Answer8 mol NH₃

Problem 2

For 2H2+O22H2O2H_2 + O_2 \rightarrow 2H_2O, how many moles of O2O_2 are needed to react with 6 moles of H2H_2?

Step 1: Identify the mole ratio. H2:O2=2:1H_2 : O_2 = 2:1.

Step 2: Apply the ratio. 6 mol H2×1 mol O22 mol H2=3 mol O26 \text{ mol } H_2 \times \frac{1 \text{ mol } O_2}{2 \text{ mol } H_2} = 3 \text{ mol } O_2

Answer3 mol O₂

Problem 3

Given 2Al+3Cl22AlCl32Al + 3Cl_2 \rightarrow 2AlCl_3, how many moles of AlCl3AlCl_3 form from 5 moles of AlAl?

Step 1: Identify the mole ratio. Al:AlCl3=2:2=1:1Al : AlCl_3 = 2:2 = 1:1.

Step 2: Apply the ratio. 5 mol Al×2 mol AlCl32 mol Al=5 mol AlCl35 \text{ mol } Al \times \frac{2 \text{ mol } AlCl_3}{2 \text{ mol } Al} = 5 \text{ mol } AlCl_3

Answer5 mol AlCl₃

Problem 4

For C3H8+5O23CO2+4H2OC_3H_8 + 5O_2 \rightarrow 3CO_2 + 4H_2O, how many moles of CO2CO_2 are produced from 2 moles of C3H8C_3H_8?

Step 1: Identify the mole ratio. C3H8:CO2=1:3C_3H_8 : CO_2 = 1:3.

Step 2: Apply the ratio. 2 mol C3H8×3 mol CO21 mol C3H8=6 mol CO22 \text{ mol } C_3H_8 \times \frac{3 \text{ mol } CO_2}{1 \text{ mol } C_3H_8} = 6 \text{ mol } CO_2

Answer6 mol CO₂

Problem 5

Given 4Fe+3O22Fe2O34Fe + 3O_2 \rightarrow 2Fe_2O_3, how many moles of FeFe are needed to produce 8 moles of Fe2O3Fe_2O_3?

Step 1: Identify the mole ratio. Fe:Fe2O3=4:2=2:1Fe : Fe_2O_3 = 4:2 = 2:1.

Step 2: Apply the ratio. 8 mol Fe2O3×4 mol Fe2 mol Fe2O3=16 mol Fe8 \text{ mol } Fe_2O_3 \times \frac{4 \text{ mol } Fe}{2 \text{ mol } Fe_2O_3} = 16 \text{ mol } Fe

Answer16 mol Fe

Problem 6

For 2KClO32KCl+3O22KClO_3 \rightarrow 2KCl + 3O_2, how many moles of O2O_2 form from 10 moles of KClO3KClO_3?

Step 1: Identify the mole ratio. KClO3:O2=2:3KClO_3 : O_2 = 2:3.

Step 2: Apply the ratio. 10 mol KClO3×3 mol O22 mol KClO3=15 mol O210 \text{ mol } KClO_3 \times \frac{3 \text{ mol } O_2}{2 \text{ mol } KClO_3} = 15 \text{ mol } O_2

Answer15 mol O₂

Section 2: Mole-to-Mass and Mass-to-Mole Conversions

Now we bring molar mass into it. You'll convert grams to moles, or moles to grams, using the periodic table. Then it's the exact same ratio logic from Section 1. New step, not a new idea.

Problem 7

How many grams of NH3NH_3 are produced from 3 moles of N2N_2 in N2+3H22NH3N_2 + 3H_2 \rightarrow 2NH_3?

Step 1: Mole ratio. N2:NH3=1:2N_2 : NH_3 = 1:2, so 3 mol N2N_2 gives 6 mol NH3NH_3.

Step 2: Molar mass of NH3NH_3. 14.01+3(1.01)=17.0314.01 + 3(1.01) = 17.03 g/mol.

Step 3: Convert to grams. 6 mol NH3×17.03 g/mol=102.2 g6 \text{ mol } NH_3 \times 17.03 \text{ g/mol} = 102.2 \text{ g}

Answer≈102 g NH₃

Problem 8

How many moles of O2O_2 are needed to completely react with 50 g of H2H_2 in 2H2+O22H2O2H_2 + O_2 \rightarrow 2H_2O?

Step 1: Convert grams of H2H_2 to moles. Molar mass of H2H_2 = 2.016 g/mol. 50 g÷2.016 g/mol=24.80 mol H250 \text{ g} \div 2.016 \text{ g/mol} = 24.80 \text{ mol } H_2

Step 2: Apply the mole ratio. H2:O2=2:1H_2 : O_2 = 2:1. 24.80 mol H2×1 mol O22 mol H2=12.4 mol O224.80 \text{ mol } H_2 \times \frac{1 \text{ mol } O_2}{2 \text{ mol } H_2} = 12.4 \text{ mol } O_2

Answer≈12.4 mol O₂

Problem 9

Given 2Mg+O22MgO2Mg + O_2 \rightarrow 2MgO, how many grams of MgOMgO form from 4 moles of MgMg?

Step 1: Mole ratio. Mg:MgO=1:1Mg : MgO = 1:1, so 4 mol MgMg gives 4 mol MgOMgO.

Step 2: Molar mass of MgOMgO. 24.31+16.00=40.3124.31 + 16.00 = 40.31 g/mol.

Step 3: Convert to grams. 4 mol MgO×40.31 g/mol=161.2 g4 \text{ mol } MgO \times 40.31 \text{ g/mol} = 161.2 \text{ g}

Answer≈161 g MgO

Problem 10

How many moles of CO2CO_2 are produced from 88 g of C3H8C_3H_8 burning completely in C3H8+5O23CO2+4H2OC_3H_8 + 5O_2 \rightarrow 3CO_2 + 4H_2O?

Step 1: Convert grams of C3H8C_3H_8 to moles. Molar mass = 3(12.01)+8(1.01)=44.13(12.01) + 8(1.01) = 44.1 g/mol. 88 g÷44.1 g/mol=2.00 mol C3H888 \text{ g} \div 44.1 \text{ g/mol} = 2.00 \text{ mol } C_3H_8

Step 2: Apply the mole ratio. C3H8:CO2=1:3C_3H_8 : CO_2 = 1:3. 2.00 mol×3=6.00 mol CO22.00 \text{ mol} \times 3 = 6.00 \text{ mol } CO_2

Answer6 mol CO₂

Problem 11

For 2Na+Cl22NaCl2Na + Cl_2 \rightarrow 2NaCl, how many grams of NaClNaCl form from 0.75 moles of NaNa?

Step 1: Mole ratio. Na:NaCl=2:2=1:1Na : NaCl = 2:2 = 1:1, so 0.75 mol NaNa gives 0.75 mol NaClNaCl.

Step 2: Molar mass of NaClNaCl. 22.99+35.45=58.4422.99 + 35.45 = 58.44 g/mol.

Step 3: Convert to grams. 0.75 mol×58.44 g/mol=43.8 g0.75 \text{ mol} \times 58.44 \text{ g/mol} = 43.8 \text{ g}

Answer≈43.8 g NaCl

Problem 12

Given 4Al+3O22Al2O34Al + 3O_2 \rightarrow 2Al_2O_3, how many moles of AlAl are needed to produce 51 g of Al2O3Al_2O_3?

Step 1: Convert grams of Al2O3Al_2O_3 to moles. Molar mass = 2(26.98)+3(16.00)=101.962(26.98) + 3(16.00) = 101.96 g/mol. 51 g÷101.96 g/mol=0.50 mol Al2O351 \text{ g} \div 101.96 \text{ g/mol} = 0.50 \text{ mol } Al_2O_3

Step 2: Apply the mole ratio. Al:Al2O3=4:2=2:1Al : Al_2O_3 = 4:2 = 2:1. 0.50 mol×2=1.0 mol Al0.50 \text{ mol} \times 2 = 1.0 \text{ mol } Al

Answer1.0 mol Al

Problem 13

Given CaCO3CaO+CO2CaCO_3 \rightarrow CaO + CO_2, how many grams of CO2CO_2 form from 2.5 moles of CaCO3CaCO_3?

Step 1: Mole ratio. CaCO3:CO2=1:1CaCO_3 : CO_2 = 1:1, so 2.5 mol CaCO3CaCO_3 gives 2.5 mol CO2CO_2.

Step 2: Molar mass of CO2CO_2. 12.01+2(16.00)=44.0112.01 + 2(16.00) = 44.01 g/mol.

Step 3: Convert to grams. 2.5 mol×44.01 g/mol=110.0 g2.5 \text{ mol} \times 44.01 \text{ g/mol} = 110.0 \text{ g}

Answer110 g CO₂

Problem 14

Given H2SO4+2NaOHNa2SO4+2H2OH_2SO_4 + 2NaOH \rightarrow Na_2SO_4 + 2H_2O, how many moles of H2SO4H_2SO_4 are needed to fully react with 40 g of NaOHNaOH?

Step 1: Convert grams of NaOHNaOH to moles. Molar mass = 22.99+16.00+1.01=40.0022.99 + 16.00 + 1.01 = 40.00 g/mol. 40 g÷40.00 g/mol=1.0 mol NaOH40 \text{ g} \div 40.00 \text{ g/mol} = 1.0 \text{ mol } NaOH

Step 2: Apply the mole ratio. H2SO4:NaOH=1:2H_2SO_4 : NaOH = 1:2. 1.0 mol NaOH×1 mol H2SO42 mol NaOH=0.5 mol H2SO41.0 \text{ mol } NaOH \times \frac{1 \text{ mol } H_2SO_4}{2 \text{ mol } NaOH} = 0.5 \text{ mol } H_2SO_4

Answer0.5 mol H₂SO₄

Section 3: Mass-to-Mass Conversions

This is the version you'll actually use outside a classroom. Grams in, grams out. Which means three steps instead of one or two: convert to moles, apply the ratio, convert back.

Problem 15

How many grams of H2OH_2O form from 20 g of H2H_2 reacting completely with O2O_2 in 2H2+O22H2O2H_2 + O_2 \rightarrow 2H_2O?

Step 1: Convert grams of H2H_2 to moles. Molar mass = 2.016 g/mol. 20 g÷2.016 g/mol=9.92 mol H220 \text{ g} \div 2.016 \text{ g/mol} = 9.92 \text{ mol } H_2

Step 2: Apply the mole ratio. H2:H2O=2:2=1:1H_2 : H_2O = 2:2 = 1:1. 9.92 mol H2=9.92 mol H2O9.92 \text{ mol } H_2 = 9.92 \text{ mol } H_2O

Step 3: Convert moles of H2OH_2O to grams. Molar mass = 18.02 g/mol. 9.92 mol×18.02 g/mol=178.8 g9.92 \text{ mol} \times 18.02 \text{ g/mol} = 178.8 \text{ g}

Answer≈178.8 g H₂O

Problem 16

Given 2C2H6+7O24CO2+6H2O2C_2H_6 + 7O_2 \rightarrow 4CO_2 + 6H_2O, how many grams of CO2CO_2 form from 30 g of C2H6C_2H_6?

Step 1: Convert grams of C2H6C_2H_6 to moles. Molar mass = 2(12.01)+6(1.01)=30.072(12.01) + 6(1.01) = 30.07 g/mol. 30 g÷30.07 g/mol=0.998 mol C2H630 \text{ g} \div 30.07 \text{ g/mol} = 0.998 \text{ mol } C_2H_6

Step 2: Apply the mole ratio. C2H6:CO2=2:4=1:2C_2H_6 : CO_2 = 2:4 = 1:2. 0.998 mol×2=1.996 mol CO20.998 \text{ mol} \times 2 = 1.996 \text{ mol } CO_2

Step 3: Convert moles of CO2CO_2 to grams. Molar mass = 44.01 g/mol. 1.996 mol×44.01 g/mol=87.8 g1.996 \text{ mol} \times 44.01 \text{ g/mol} = 87.8 \text{ g}

Answer≈87.8 g CO₂

Problem 17

Given 4Fe+3O22Fe2O34Fe + 3O_2 \rightarrow 2Fe_2O_3, how many grams of Fe2O3Fe_2O_3 form from 100 g of FeFe?

Step 1: Convert grams of FeFe to moles. Molar mass = 55.85 g/mol. 100 g÷55.85 g/mol=1.791 mol Fe100 \text{ g} \div 55.85 \text{ g/mol} = 1.791 \text{ mol } Fe

Step 2: Apply the mole ratio. Fe:Fe2O3=4:2=2:1Fe : Fe_2O_3 = 4:2 = 2:1. 1.791 mol Fe×1 mol Fe2O32 mol Fe=0.896 mol Fe2O31.791 \text{ mol } Fe \times \frac{1 \text{ mol } Fe_2O_3}{2 \text{ mol } Fe} = 0.896 \text{ mol } Fe_2O_3

Step 3: Convert moles of Fe2O3Fe_2O_3 to grams. Molar mass = 2(55.85)+3(16.00)=159.702(55.85) + 3(16.00) = 159.70 g/mol. 0.896 mol×159.70 g/mol=143.1 g0.896 \text{ mol} \times 159.70 \text{ g/mol} = 143.1 \text{ g}

Answer≈143 g Fe₂O₃

Problem 18

For N2+3H22NH3N_2 + 3H_2 \rightarrow 2NH_3, how many grams of NH3NH_3 form from 28 g of N2N_2?

Step 1: Convert grams of N2N_2 to moles. Molar mass = 28.02 g/mol. 28 g÷28.02 g/mol=1.00 mol N228 \text{ g} \div 28.02 \text{ g/mol} = 1.00 \text{ mol } N_2

Step 2: Apply the mole ratio. N2:NH3=1:2N_2 : NH_3 = 1:2. 1.00 mol×2=2.00 mol NH31.00 \text{ mol} \times 2 = 2.00 \text{ mol } NH_3

Step 3: Convert moles of NH3NH_3 to grams. Molar mass = 17.03 g/mol. 2.00 mol×17.03 g/mol=34.1 g2.00 \text{ mol} \times 17.03 \text{ g/mol} = 34.1 \text{ g}

Answer≈34.1 g NH₃

Problem 19

Given 2AgNO3+CaCl22AgCl+Ca(NO3)22AgNO_3 + CaCl_2 \rightarrow 2AgCl + Ca(NO_3)_2, how many grams of AgClAgCl precipitate form from 34 g of AgNO3AgNO_3?

Step 1: Convert grams of AgNO3AgNO_3 to moles. Molar mass = 107.87+14.01+3(16.00)=169.87107.87 + 14.01 + 3(16.00) = 169.87 g/mol. 34 g÷169.87 g/mol=0.2001 mol AgNO334 \text{ g} \div 169.87 \text{ g/mol} = 0.2001 \text{ mol } AgNO_3

Step 2: Apply the mole ratio. AgNO3:AgCl=2:2=1:1AgNO_3 : AgCl = 2:2 = 1:1. 0.2001 mol AgNO3=0.2001 mol AgCl0.2001 \text{ mol } AgNO_3 = 0.2001 \text{ mol } AgCl

Step 3: Convert moles of AgClAgCl to grams. Molar mass = 107.87+35.45=143.32107.87 + 35.45 = 143.32 g/mol. 0.2001 mol×143.32 g/mol=28.7 g0.2001 \text{ mol} \times 143.32 \text{ g/mol} = 28.7 \text{ g}

Answer≈28.7 g AgCl

Problem 20

How many grams of CO2CO_2 are released when 500 g of CaCO3CaCO_3 fully decomposes in CaCO3CaO+CO2CaCO_3 \rightarrow CaO + CO_2?

Step 1: Convert grams of CaCO3CaCO_3 to moles. Molar mass = 40.08+12.01+3(16.00)=100.0940.08 + 12.01 + 3(16.00) = 100.09 g/mol. 500 g÷100.09 g/mol=5.00 mol CaCO3500 \text{ g} \div 100.09 \text{ g/mol} = 5.00 \text{ mol } CaCO_3

Step 2: Apply the mole ratio. CaCO3:CO2=1:1CaCO_3 : CO_2 = 1:1, so 5.00 mol CaCO3CaCO_3 gives 5.00 mol CO2CO_2.

Step 3: Convert moles of CO2CO_2 to grams. Molar mass = 44.01 g/mol. 5.00 mol×44.01 g/mol=220.1 g5.00 \text{ mol} \times 44.01 \text{ g/mol} = 220.1 \text{ g}

Answer≈220 g CO₂

Section 4: Limiting Reactant Problems

What happens when a reaction has two reactants instead of one? They almost never run out at the same time. One of them hits zero first, and that one, the limiting reactant, is the only one that matters. It controls how much product you get, no matter how much of the other reactant is left sitting around.

Problem 21

Given N2+3H22NH3N_2 + 3H_2 \rightarrow 2NH_3, if you start with 4 moles of N2N_2 and 9 moles of H2H_2, which reactant is limiting?

Step 1: Find how much H2H_2 the available N2N_2 would need. Ratio N2:H2=1:3N_2 : H_2 = 1:3. 4 mol N2×3=12 mol H2 required4 \text{ mol } N_2 \times 3 = 12 \text{ mol } H_2 \text{ required}

Step 2: Compare to what's available. Only 9 mol H2H_2 is available, but 12 mol is needed. H2H_2 runs out first.

AnswerH₂ is the limiting reactant.

Problem 22

For 2H2+O22H2O2H_2 + O_2 \rightarrow 2H_2O, if you have 10 g of H2H_2 and 10 g of O2O_2, which is the limiting reactant, and how many grams of H2OH_2O form?

Step 1: Convert both reactants to moles. 10 g H2÷2.016 g/mol=4.96 mol H210 \text{ g } H_2 \div 2.016 \text{ g/mol} = 4.96 \text{ mol } H_2 10 g O2÷32.00 g/mol=0.3125 mol O210 \text{ g } O_2 \div 32.00 \text{ g/mol} = 0.3125 \text{ mol } O_2

Step 2: Find how much O2O_2 the available H2H_2 would need. Ratio H2:O2=2:1H_2 : O_2 = 2:1. 4.96 mol H2×12=2.48 mol O2 required4.96 \text{ mol } H_2 \times \frac{1}{2} = 2.48 \text{ mol } O_2 \text{ required}

Step 3: Compare to what's available. Only 0.3125 mol O2O_2 is available, far short of the 2.48 mol needed. O2O_2 is limiting.

Step 4: Calculate H2OH_2O from the limiting reactant. Ratio O2:H2O=1:2O_2 : H_2O = 1:2. 0.3125 mol O2×2=0.625 mol H2O0.3125 \text{ mol } O_2 \times 2 = 0.625 \text{ mol } H_2O 0.625 mol×18.02 g/mol=11.3 g0.625 \text{ mol} \times 18.02 \text{ g/mol} = 11.3 \text{ g}

AnswerO₂ is limiting; ≈11.3 g H₂O forms

Problem 23

Given 2Al+3Cl22AlCl32Al + 3Cl_2 \rightarrow 2AlCl_3, if you react 5.4 g of AlAl with 20 g of Cl2Cl_2, which is limiting, and how many grams of AlCl3AlCl_3 form?

Step 1: Convert both reactants to moles. 5.4 g Al÷26.98 g/mol=0.200 mol Al5.4 \text{ g } Al \div 26.98 \text{ g/mol} = 0.200 \text{ mol } Al 20 g Cl2÷70.90 g/mol=0.282 mol Cl220 \text{ g } Cl_2 \div 70.90 \text{ g/mol} = 0.282 \text{ mol } Cl_2

Step 2: Find how much Cl2Cl_2 the available AlAl would need. Ratio Al:Cl2=2:3Al : Cl_2 = 2:3. 0.200 mol Al×32=0.300 mol Cl2 required0.200 \text{ mol } Al \times \frac{3}{2} = 0.300 \text{ mol } Cl_2 \text{ required}

Step 3: Compare to what's available. Only 0.282 mol Cl2Cl_2 is available, but 0.300 mol is needed. Cl2Cl_2 runs out first and is limiting, not AlAl, even though Cl2Cl_2's mass looks bigger here. Always check by moles and ratio, not by which mass looks bigger.

Step 4: Calculate AlCl3AlCl_3 from the limiting reactant. Ratio Cl2:AlCl3=3:2Cl_2 : AlCl_3 = 3:2. 0.282 mol Cl2×23=0.188 mol AlCl30.282 \text{ mol } Cl_2 \times \frac{2}{3} = 0.188 \text{ mol } AlCl_3 0.188 mol×133.33 g/mol=25.1 g0.188 \text{ mol} \times 133.33 \text{ g/mol} = 25.1 \text{ g}

AnswerCl₂ is limiting; ≈25.1 g AlCl₃ forms

Problem 24

For CH4+2O2CO2+2H2OCH_4 + 2O_2 \rightarrow CO_2 + 2H_2O, if you burn 16 g of CH4CH_4 with 48 g of O2O_2, is there excess reactant left over, and if so, how much?

Step 1: Convert both reactants to moles. 16 g CH4÷16.04 g/mol=0.998 mol CH416 \text{ g } CH_4 \div 16.04 \text{ g/mol} = 0.998 \text{ mol } CH_4 48 g O2÷32.00 g/mol=1.50 mol O248 \text{ g } O_2 \div 32.00 \text{ g/mol} = 1.50 \text{ mol } O_2

Step 2: Find how much O2O_2 the available CH4CH_4 would need. Ratio CH4:O2=1:2CH_4 : O_2 = 1:2. 0.998 mol CH4×2=2.00 mol O2 required0.998 \text{ mol } CH_4 \times 2 = 2.00 \text{ mol } O_2 \text{ required}

Step 3: Compare to what's available. Only 1.50 mol O2O_2 is available, but 2.00 mol is needed. O2O_2 is limiting, which means CH4CH_4 is the one left over in excess.

Step 4: Find how much CH4CH_4 actually reacts with the available O2O_2. Ratio O2:CH4=2:1O_2 : CH_4 = 2:1. 1.50 mol O2×12=0.75 mol CH4 reacted1.50 \text{ mol } O_2 \times \frac{1}{2} = 0.75 \text{ mol } CH_4 \text{ reacted}

Step 5: Subtract to find the leftover CH4CH_4. 0.998 mol0.75 mol=0.248 mol CH4 remaining0.998 \text{ mol} - 0.75 \text{ mol} = 0.248 \text{ mol } CH_4 \text{ remaining} 0.248 mol×16.04 g/mol=4.0 g0.248 \text{ mol} \times 16.04 \text{ g/mol} = 4.0 \text{ g}

AnswerO₂ is limiting; ≈4.0 g of CH₄ is left over unreacted

Problem 25

Given 2Na+Cl22NaCl2Na + Cl_2 \rightarrow 2NaCl, if 46 g of NaNa reacts with 71 g of Cl2Cl_2, how many grams of NaClNaCl are produced?

Step 1: Convert both reactants to moles. 46 g Na÷22.99 g/mol=2.00 mol Na46 \text{ g } Na \div 22.99 \text{ g/mol} = 2.00 \text{ mol } Na 71 g Cl2÷70.90 g/mol=1.00 mol Cl271 \text{ g } Cl_2 \div 70.90 \text{ g/mol} = 1.00 \text{ mol } Cl_2

Step 2: Check the ratio needed. Na:Cl2=2:1Na : Cl_2 = 2:1, and 2.00:1.002.00 : 1.00 is exactly that ratio, so both reactants run out at the same time. This is the rare case where there's no true "excess" reactant, so the product can be calculated from either one.

Step 3: Calculate NaClNaCl. Ratio Na:NaCl=2:2=1:1Na : NaCl = 2:2 = 1:1. 2.00 mol Na×1=2.00 mol NaCl2.00 \text{ mol } Na \times 1 = 2.00 \text{ mol } NaCl 2.00 mol×58.44 g/mol=116.9 g2.00 \text{ mol} \times 58.44 \text{ g/mol} = 116.9 \text{ g}

Answer≈117 g NaCl

Problem 26

For Zn+2HClZnCl2+H2Zn + 2HCl \rightarrow ZnCl_2 + H_2, if 13 g of ZnZn reacts with 20 g of HClHCl, how many grams of H2H_2 gas form?

Step 1: Convert both reactants to moles. 13 g Zn÷65.38 g/mol=0.199 mol Zn13 \text{ g } Zn \div 65.38 \text{ g/mol} = 0.199 \text{ mol } Zn 20 g HCl÷36.46 g/mol=0.548 mol HCl20 \text{ g } HCl \div 36.46 \text{ g/mol} = 0.548 \text{ mol } HCl

Step 2: Find how much HClHCl the available ZnZn would need. Ratio Zn:HCl=1:2Zn : HCl = 1:2. 0.199 mol Zn×2=0.398 mol HCl required0.199 \text{ mol } Zn \times 2 = 0.398 \text{ mol } HCl \text{ required}

Step 3: Compare to what's available. 0.548 mol HClHCl is available, more than the 0.398 mol needed. HClHCl is in excess, so ZnZn is limiting.

Step 4: Calculate H2H_2 from the limiting reactant. Ratio Zn:H2=1:1Zn : H_2 = 1:1. 0.199 mol Zn=0.199 mol H20.199 \text{ mol } Zn = 0.199 \text{ mol } H_2 0.199 mol×2.016 g/mol=0.40 g0.199 \text{ mol} \times 2.016 \text{ g/mol} = 0.40 \text{ g}

AnswerZn is limiting; ≈0.40 g H₂ forms

Section 5: Percent Yield Problems

Here's something the balanced equation won't tell you: real reactions never produce quite as much product as the math predicts. Percent yield measures exactly how much less. It's the gap between what the equation promises (the theoretical yield) and what you actually collect (the actual yield), written as a percentage.

Problem 27

For 2H2+O22H2O2H_2 + O_2 \rightarrow 2H_2O, the theoretical yield of water from a reaction is 36 g, but only 30 g is actually collected. What is the percent yield?

Step 1: Recall the percent yield formula. percent yield=actual yieldtheoretical yield×100\text{percent yield} = \frac{\text{actual yield}}{\text{theoretical yield}} \times 100

Step 2: Plug in the values. 30 g36 g×100=83.3%\frac{30 \text{ g}}{36 \text{ g}} \times 100 = 83.3\%

Answer83.3%

Problem 28

Given N2+3H22NH3N_2 + 3H_2 \rightarrow 2NH_3, 5 moles of N2N_2 reacts completely with excess H2H_2. If only 6.8 moles of NH3NH_3 are collected, what is the percent yield?

Step 1: Calculate the theoretical yield of NH3NH_3. Ratio N2:NH3=1:2N_2 : NH_3 = 1:2. 5 mol N2×2=10 mol NH3 (theoretical)5 \text{ mol } N_2 \times 2 = 10 \text{ mol } NH_3 \text{ (theoretical)}

Step 2: Apply the percent yield formula. 6.8 mol10 mol×100=68%\frac{6.8 \text{ mol}}{10 \text{ mol}} \times 100 = 68\%

Answer68%

Problem 29

For CaCO3CaO+CO2CaCO_3 \rightarrow CaO + CO_2, 250 g of CaCO3CaCO_3 decomposes and produces 96 g of CO2CO_2. What is the percent yield?

Step 1: Convert grams of CaCO3CaCO_3 to moles. Molar mass = 100.09 g/mol. 250 g÷100.09 g/mol=2.498 mol CaCO3250 \text{ g} \div 100.09 \text{ g/mol} = 2.498 \text{ mol } CaCO_3

Step 2: Calculate theoretical moles and mass of CO2CO_2. Ratio CaCO3:CO2=1:1CaCO_3 : CO_2 = 1:1. 2.498 mol CO2×44.01 g/mol=109.9 g (theoretical)2.498 \text{ mol } CO_2 \times 44.01 \text{ g/mol} = 109.9 \text{ g (theoretical)}

Step 3: Apply the percent yield formula. 96 g109.9 g×100=87.3%\frac{96 \text{ g}}{109.9 \text{ g}} \times 100 = 87.3\%

Answer≈87.3%

Problem 30

Given 2C2H6+7O24CO2+6H2O2C_2H_6 + 7O_2 \rightarrow 4CO_2 + 6H_2O, 60 g of C2H6C_2H_6 reacts completely with excess O2O_2. If the actual yield of CO2CO_2 is 150 g, what is the percent yield?

Step 1: Convert grams of C2H6C_2H_6 to moles. Molar mass = 30.07 g/mol. 60 g÷30.07 g/mol=1.996 mol C2H660 \text{ g} \div 30.07 \text{ g/mol} = 1.996 \text{ mol } C_2H_6

Step 2: Calculate theoretical moles and mass of CO2CO_2. Ratio C2H6:CO2=2:4=1:2C_2H_6 : CO_2 = 2:4 = 1:2. 1.996 mol×2=3.992 mol CO21.996 \text{ mol} \times 2 = 3.992 \text{ mol } CO_2 3.992 mol×44.01 g/mol=175.7 g (theoretical)3.992 \text{ mol} \times 44.01 \text{ g/mol} = 175.7 \text{ g (theoretical)}

Step 3: Apply the percent yield formula. 150 g175.7 g×100=85.4%\frac{150 \text{ g}}{175.7 \text{ g}} \times 100 = 85.4\%

Answer≈85.4%

Molar masses used throughout are rounded to two decimal places from standard atomic weights. If your textbook or instructor uses slightly different rounding, your answers may differ by a few tenths of a percent. That's expected, and not a sign of a mistake in your method.