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.
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.
Given the reaction N 2 + 3 H 2 → 2 N H 3 N_2 + 3H_2 \rightarrow 2NH_3 N 2 + 3 H 2 → 2 N H 3 , how many moles of N H 3 NH_3 N H 3 are produced from 4 moles of N 2 N_2 N 2 ?
+ Show step-by-step solutionStep 1: Identify the mole ratio. From the balanced equation, the coefficient ratio of N 2 N_2 N 2 to N H 3 NH_3 N H 3 is 1 : 2 1:2 1 : 2 .
Step 2: Apply the ratio.
4 mol N 2 × 2 mol N H 3 1 mol N 2 = 8 mol N H 3 4 \text{ mol } N_2 \times \frac{2 \text{ mol } NH_3}{1 \text{ mol } N_2} = 8 \text{ mol } NH_3 4 mol N 2 × 1 mol N 2 2 mol N H 3 = 8 mol N H 3
Answer 8 mol NH₃
For 2 H 2 + O 2 → 2 H 2 O 2H_2 + O_2 \rightarrow 2H_2O 2 H 2 + O 2 → 2 H 2 O , how many moles of O 2 O_2 O 2 are needed to react with 6 moles of H 2 H_2 H 2 ?
+ Show step-by-step solutionStep 1: Identify the mole ratio. H 2 : O 2 = 2 : 1 H_2 : O_2 = 2:1 H 2 : O 2 = 2 : 1 .
Step 2: Apply the ratio.
6 mol H 2 × 1 mol O 2 2 mol H 2 = 3 mol O 2 6 \text{ mol } H_2 \times \frac{1 \text{ mol } O_2}{2 \text{ mol } H_2} = 3 \text{ mol } O_2 6 mol H 2 × 2 mol H 2 1 mol O 2 = 3 mol O 2
Answer 3 mol O₂
Given 2 A l + 3 C l 2 → 2 A l C l 3 2Al + 3Cl_2 \rightarrow 2AlCl_3 2 A l + 3 C l 2 → 2 A l C l 3 , how many moles of A l C l 3 AlCl_3 A l C l 3 form from 5 moles of A l Al A l ?
+ Show step-by-step solutionStep 1: Identify the mole ratio. A l : A l C l 3 = 2 : 2 = 1 : 1 Al : AlCl_3 = 2:2 = 1:1 A l : A l C l 3 = 2 : 2 = 1 : 1 .
Step 2: Apply the ratio.
5 mol A l × 2 mol A l C l 3 2 mol A l = 5 mol A l C l 3 5 \text{ mol } Al \times \frac{2 \text{ mol } AlCl_3}{2 \text{ mol } Al} = 5 \text{ mol } AlCl_3 5 mol A l × 2 mol A l 2 mol A l C l 3 = 5 mol A l C l 3
Answer 5 mol AlCl₃
For C 3 H 8 + 5 O 2 → 3 C O 2 + 4 H 2 O C_3H_8 + 5O_2 \rightarrow 3CO_2 + 4H_2O C 3 H 8 + 5 O 2 → 3 C O 2 + 4 H 2 O , how many moles of C O 2 CO_2 C O 2 are produced from 2 moles of C 3 H 8 C_3H_8 C 3 H 8 ?
+ Show step-by-step solutionStep 1: Identify the mole ratio. C 3 H 8 : C O 2 = 1 : 3 C_3H_8 : CO_2 = 1:3 C 3 H 8 : C O 2 = 1 : 3 .
Step 2: Apply the ratio.
2 mol C 3 H 8 × 3 mol C O 2 1 mol C 3 H 8 = 6 mol C O 2 2 \text{ mol } C_3H_8 \times \frac{3 \text{ mol } CO_2}{1 \text{ mol } C_3H_8} = 6 \text{ mol } CO_2 2 mol C 3 H 8 × 1 mol C 3 H 8 3 mol C O 2 = 6 mol C O 2
Answer 6 mol CO₂
Given 4 F e + 3 O 2 → 2 F e 2 O 3 4Fe + 3O_2 \rightarrow 2Fe_2O_3 4 F e + 3 O 2 → 2 F e 2 O 3 , how many moles of F e Fe F e are needed to produce 8 moles of F e 2 O 3 Fe_2O_3 F e 2 O 3 ?
+ Show step-by-step solutionStep 1: Identify the mole ratio. F e : F e 2 O 3 = 4 : 2 = 2 : 1 Fe : Fe_2O_3 = 4:2 = 2:1 F e : F e 2 O 3 = 4 : 2 = 2 : 1 .
Step 2: Apply the ratio.
8 mol F e 2 O 3 × 4 mol F e 2 mol F e 2 O 3 = 16 mol F e 8 \text{ mol } Fe_2O_3 \times \frac{4 \text{ mol } Fe}{2 \text{ mol } Fe_2O_3} = 16 \text{ mol } Fe 8 mol F e 2 O 3 × 2 mol F e 2 O 3 4 mol F e = 16 mol F e
Answer 16 mol Fe
For 2 K C l O 3 → 2 K C l + 3 O 2 2KClO_3 \rightarrow 2KCl + 3O_2 2 K C l O 3 → 2 K C l + 3 O 2 , how many moles of O 2 O_2 O 2 form from 10 moles of K C l O 3 KClO_3 K C l O 3 ?
+ Show step-by-step solutionStep 1: Identify the mole ratio. K C l O 3 : O 2 = 2 : 3 KClO_3 : O_2 = 2:3 K C l O 3 : O 2 = 2 : 3 .
Step 2: Apply the ratio.
10 mol K C l O 3 × 3 mol O 2 2 mol K C l O 3 = 15 mol O 2 10 \text{ mol } KClO_3 \times \frac{3 \text{ mol } O_2}{2 \text{ mol } KClO_3} = 15 \text{ mol } O_2 10 mol K C l O 3 × 2 mol K C l O 3 3 mol O 2 = 15 mol O 2
Answer 15 mol O₂
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.
How many grams of N H 3 NH_3 N H 3 are produced from 3 moles of N 2 N_2 N 2 in N 2 + 3 H 2 → 2 N H 3 N_2 + 3H_2 \rightarrow 2NH_3 N 2 + 3 H 2 → 2 N H 3 ?
+ Show step-by-step solutionStep 1: Mole ratio. N 2 : N H 3 = 1 : 2 N_2 : NH_3 = 1:2 N 2 : N H 3 = 1 : 2 , so 3 mol N 2 N_2 N 2 gives 6 mol N H 3 NH_3 N H 3 .
Step 2: Molar mass of N H 3 NH_3 N H 3 . 14.01 + 3 ( 1.01 ) = 17.03 14.01 + 3(1.01) = 17.03 14.01 + 3 ( 1.01 ) = 17.03 g/mol.
Step 3: Convert to grams.
6 mol N H 3 × 17.03 g/mol = 102.2 g 6 \text{ mol } NH_3 \times 17.03 \text{ g/mol} = 102.2 \text{ g} 6 mol N H 3 × 17.03 g/mol = 102.2 g
Answer ≈102 g NH₃
How many moles of O 2 O_2 O 2 are needed to completely react with 50 g of H 2 H_2 H 2 in 2 H 2 + O 2 → 2 H 2 O 2H_2 + O_2 \rightarrow 2H_2O 2 H 2 + O 2 → 2 H 2 O ?
+ Show step-by-step solutionStep 1: Convert grams of H 2 H_2 H 2 to moles. Molar mass of H 2 H_2 H 2 = 2.016 g/mol.
50 g ÷ 2.016 g/mol = 24.80 mol H 2 50 \text{ g} \div 2.016 \text{ g/mol} = 24.80 \text{ mol } H_2 50 g ÷ 2.016 g/mol = 24.80 mol H 2
Step 2: Apply the mole ratio. H 2 : O 2 = 2 : 1 H_2 : O_2 = 2:1 H 2 : O 2 = 2 : 1 .
24.80 mol H 2 × 1 mol O 2 2 mol H 2 = 12.4 mol O 2 24.80 \text{ mol } H_2 \times \frac{1 \text{ mol } O_2}{2 \text{ mol } H_2} = 12.4 \text{ mol } O_2 24.80 mol H 2 × 2 mol H 2 1 mol O 2 = 12.4 mol O 2
Answer ≈12.4 mol O₂
Given 2 M g + O 2 → 2 M g O 2Mg + O_2 \rightarrow 2MgO 2 M g + O 2 → 2 M g O , how many grams of M g O MgO M g O form from 4 moles of M g Mg M g ?
+ Show step-by-step solutionStep 1: Mole ratio. M g : M g O = 1 : 1 Mg : MgO = 1:1 M g : M g O = 1 : 1 , so 4 mol M g Mg M g gives 4 mol M g O MgO M g O .
Step 2: Molar mass of M g O MgO M g O . 24.31 + 16.00 = 40.31 24.31 + 16.00 = 40.31 24.31 + 16.00 = 40.31 g/mol.
Step 3: Convert to grams.
4 mol M g O × 40.31 g/mol = 161.2 g 4 \text{ mol } MgO \times 40.31 \text{ g/mol} = 161.2 \text{ g} 4 mol M g O × 40.31 g/mol = 161.2 g
Answer ≈161 g MgO
How many moles of C O 2 CO_2 C O 2 are produced from 88 g of C 3 H 8 C_3H_8 C 3 H 8 burning completely in C 3 H 8 + 5 O 2 → 3 C O 2 + 4 H 2 O C_3H_8 + 5O_2 \rightarrow 3CO_2 + 4H_2O C 3 H 8 + 5 O 2 → 3 C O 2 + 4 H 2 O ?
+ Show step-by-step solutionStep 1: Convert grams of C 3 H 8 C_3H_8 C 3 H 8 to moles. Molar mass = 3 ( 12.01 ) + 8 ( 1.01 ) = 44.1 3(12.01) + 8(1.01) = 44.1 3 ( 12.01 ) + 8 ( 1.01 ) = 44.1 g/mol.
88 g ÷ 44.1 g/mol = 2.00 mol C 3 H 8 88 \text{ g} \div 44.1 \text{ g/mol} = 2.00 \text{ mol } C_3H_8 88 g ÷ 44.1 g/mol = 2.00 mol C 3 H 8
Step 2: Apply the mole ratio. C 3 H 8 : C O 2 = 1 : 3 C_3H_8 : CO_2 = 1:3 C 3 H 8 : C O 2 = 1 : 3 .
2.00 mol × 3 = 6.00 mol C O 2 2.00 \text{ mol} \times 3 = 6.00 \text{ mol } CO_2 2.00 mol × 3 = 6.00 mol C O 2
Answer 6 mol CO₂
For 2 N a + C l 2 → 2 N a C l 2Na + Cl_2 \rightarrow 2NaCl 2 N a + C l 2 → 2 N a C l , how many grams of N a C l NaCl N a C l form from 0.75 moles of N a Na N a ?
+ Show step-by-step solutionStep 1: Mole ratio. N a : N a C l = 2 : 2 = 1 : 1 Na : NaCl = 2:2 = 1:1 N a : N a C l = 2 : 2 = 1 : 1 , so 0.75 mol N a Na N a gives 0.75 mol N a C l NaCl N a C l .
Step 2: Molar mass of N a C l NaCl N a C l . 22.99 + 35.45 = 58.44 22.99 + 35.45 = 58.44 22.99 + 35.45 = 58.44 g/mol.
Step 3: Convert to grams.
0.75 mol × 58.44 g/mol = 43.8 g 0.75 \text{ mol} \times 58.44 \text{ g/mol} = 43.8 \text{ g} 0.75 mol × 58.44 g/mol = 43.8 g
Answer ≈43.8 g NaCl
Given 4 A l + 3 O 2 → 2 A l 2 O 3 4Al + 3O_2 \rightarrow 2Al_2O_3 4 A l + 3 O 2 → 2 A l 2 O 3 , how many moles of A l Al A l are needed to produce 51 g of A l 2 O 3 Al_2O_3 A l 2 O 3 ?
+ Show step-by-step solutionStep 1: Convert grams of A l 2 O 3 Al_2O_3 A l 2 O 3 to moles. Molar mass = 2 ( 26.98 ) + 3 ( 16.00 ) = 101.96 2(26.98) + 3(16.00) = 101.96 2 ( 26.98 ) + 3 ( 16.00 ) = 101.96 g/mol.
51 g ÷ 101.96 g/mol = 0.50 mol A l 2 O 3 51 \text{ g} \div 101.96 \text{ g/mol} = 0.50 \text{ mol } Al_2O_3 51 g ÷ 101.96 g/mol = 0.50 mol A l 2 O 3
Step 2: Apply the mole ratio. A l : A l 2 O 3 = 4 : 2 = 2 : 1 Al : Al_2O_3 = 4:2 = 2:1 A l : A l 2 O 3 = 4 : 2 = 2 : 1 .
0.50 mol × 2 = 1.0 mol A l 0.50 \text{ mol} \times 2 = 1.0 \text{ mol } Al 0.50 mol × 2 = 1.0 mol A l
Answer 1.0 mol Al
Given C a C O 3 → C a O + C O 2 CaCO_3 \rightarrow CaO + CO_2 C a C O 3 → C a O + C O 2 , how many grams of C O 2 CO_2 C O 2 form from 2.5 moles of C a C O 3 CaCO_3 C a C O 3 ?
+ Show step-by-step solutionStep 1: Mole ratio. C a C O 3 : C O 2 = 1 : 1 CaCO_3 : CO_2 = 1:1 C a C O 3 : C O 2 = 1 : 1 , so 2.5 mol C a C O 3 CaCO_3 C a C O 3 gives 2.5 mol C O 2 CO_2 C O 2 .
Step 2: Molar mass of C O 2 CO_2 C O 2 . 12.01 + 2 ( 16.00 ) = 44.01 12.01 + 2(16.00) = 44.01 12.01 + 2 ( 16.00 ) = 44.01 g/mol.
Step 3: Convert to grams.
2.5 mol × 44.01 g/mol = 110.0 g 2.5 \text{ mol} \times 44.01 \text{ g/mol} = 110.0 \text{ g} 2.5 mol × 44.01 g/mol = 110.0 g
Answer 110 g CO₂
Given H 2 S O 4 + 2 N a O H → N a 2 S O 4 + 2 H 2 O H_2SO_4 + 2NaOH \rightarrow Na_2SO_4 + 2H_2O H 2 S O 4 + 2 N a O H → N a 2 S O 4 + 2 H 2 O , how many moles of H 2 S O 4 H_2SO_4 H 2 S O 4 are needed to fully react with 40 g of N a O H NaOH N a O H ?
+ Show step-by-step solutionStep 1: Convert grams of N a O H NaOH N a O H to moles. Molar mass = 22.99 + 16.00 + 1.01 = 40.00 22.99 + 16.00 + 1.01 = 40.00 22.99 + 16.00 + 1.01 = 40.00 g/mol.
40 g ÷ 40.00 g/mol = 1.0 mol N a O H 40 \text{ g} \div 40.00 \text{ g/mol} = 1.0 \text{ mol } NaOH 40 g ÷ 40.00 g/mol = 1.0 mol N a O H
Step 2: Apply the mole ratio. H 2 S O 4 : N a O H = 1 : 2 H_2SO_4 : NaOH = 1:2 H 2 S O 4 : N a O H = 1 : 2 .
1.0 mol N a O H × 1 mol H 2 S O 4 2 mol N a O H = 0.5 mol H 2 S O 4 1.0 \text{ mol } NaOH \times \frac{1 \text{ mol } H_2SO_4}{2 \text{ mol } NaOH} = 0.5 \text{ mol } H_2SO_4 1.0 mol N a O H × 2 mol N a O H 1 mol H 2 S O 4 = 0.5 mol H 2 S O 4
Answer 0.5 mol H₂SO₄
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.
How many grams of H 2 O H_2O H 2 O form from 20 g of H 2 H_2 H 2 reacting completely with O 2 O_2 O 2 in 2 H 2 + O 2 → 2 H 2 O 2H_2 + O_2 \rightarrow 2H_2O 2 H 2 + O 2 → 2 H 2 O ?
+ Show step-by-step solutionStep 1: Convert grams of H 2 H_2 H 2 to moles. Molar mass = 2.016 g/mol.
20 g ÷ 2.016 g/mol = 9.92 mol H 2 20 \text{ g} \div 2.016 \text{ g/mol} = 9.92 \text{ mol } H_2 20 g ÷ 2.016 g/mol = 9.92 mol H 2
Step 2: Apply the mole ratio. H 2 : H 2 O = 2 : 2 = 1 : 1 H_2 : H_2O = 2:2 = 1:1 H 2 : H 2 O = 2 : 2 = 1 : 1 .
9.92 mol H 2 = 9.92 mol H 2 O 9.92 \text{ mol } H_2 = 9.92 \text{ mol } H_2O 9.92 mol H 2 = 9.92 mol H 2 O
Step 3: Convert moles of H 2 O H_2O H 2 O to grams. Molar mass = 18.02 g/mol.
9.92 mol × 18.02 g/mol = 178.8 g 9.92 \text{ mol} \times 18.02 \text{ g/mol} = 178.8 \text{ g} 9.92 mol × 18.02 g/mol = 178.8 g
Answer ≈178.8 g H₂O
Given 2 C 2 H 6 + 7 O 2 → 4 C O 2 + 6 H 2 O 2C_2H_6 + 7O_2 \rightarrow 4CO_2 + 6H_2O 2 C 2 H 6 + 7 O 2 → 4 C O 2 + 6 H 2 O , how many grams of C O 2 CO_2 C O 2 form from 30 g of C 2 H 6 C_2H_6 C 2 H 6 ?
+ Show step-by-step solutionStep 1: Convert grams of C 2 H 6 C_2H_6 C 2 H 6 to moles. Molar mass = 2 ( 12.01 ) + 6 ( 1.01 ) = 30.07 2(12.01) + 6(1.01) = 30.07 2 ( 12.01 ) + 6 ( 1.01 ) = 30.07 g/mol.
30 g ÷ 30.07 g/mol = 0.998 mol C 2 H 6 30 \text{ g} \div 30.07 \text{ g/mol} = 0.998 \text{ mol } C_2H_6 30 g ÷ 30.07 g/mol = 0.998 mol C 2 H 6
Step 2: Apply the mole ratio. C 2 H 6 : C O 2 = 2 : 4 = 1 : 2 C_2H_6 : CO_2 = 2:4 = 1:2 C 2 H 6 : C O 2 = 2 : 4 = 1 : 2 .
0.998 mol × 2 = 1.996 mol C O 2 0.998 \text{ mol} \times 2 = 1.996 \text{ mol } CO_2 0.998 mol × 2 = 1.996 mol C O 2
Step 3: Convert moles of C O 2 CO_2 C O 2 to grams. Molar mass = 44.01 g/mol.
1.996 mol × 44.01 g/mol = 87.8 g 1.996 \text{ mol} \times 44.01 \text{ g/mol} = 87.8 \text{ g} 1.996 mol × 44.01 g/mol = 87.8 g
Answer ≈87.8 g CO₂
Given 4 F e + 3 O 2 → 2 F e 2 O 3 4Fe + 3O_2 \rightarrow 2Fe_2O_3 4 F e + 3 O 2 → 2 F e 2 O 3 , how many grams of F e 2 O 3 Fe_2O_3 F e 2 O 3 form from 100 g of F e Fe F e ?
+ Show step-by-step solutionStep 1: Convert grams of F e Fe F e to moles. Molar mass = 55.85 g/mol.
100 g ÷ 55.85 g/mol = 1.791 mol F e 100 \text{ g} \div 55.85 \text{ g/mol} = 1.791 \text{ mol } Fe 100 g ÷ 55.85 g/mol = 1.791 mol F e
Step 2: Apply the mole ratio. F e : F e 2 O 3 = 4 : 2 = 2 : 1 Fe : Fe_2O_3 = 4:2 = 2:1 F e : F e 2 O 3 = 4 : 2 = 2 : 1 .
1.791 mol F e × 1 mol F e 2 O 3 2 mol F e = 0.896 mol F e 2 O 3 1.791 \text{ mol } Fe \times \frac{1 \text{ mol } Fe_2O_3}{2 \text{ mol } Fe} = 0.896 \text{ mol } Fe_2O_3 1.791 mol F e × 2 mol F e 1 mol F e 2 O 3 = 0.896 mol F e 2 O 3
Step 3: Convert moles of F e 2 O 3 Fe_2O_3 F e 2 O 3 to grams. Molar mass = 2 ( 55.85 ) + 3 ( 16.00 ) = 159.70 2(55.85) + 3(16.00) = 159.70 2 ( 55.85 ) + 3 ( 16.00 ) = 159.70 g/mol.
0.896 mol × 159.70 g/mol = 143.1 g 0.896 \text{ mol} \times 159.70 \text{ g/mol} = 143.1 \text{ g} 0.896 mol × 159.70 g/mol = 143.1 g
Answer ≈143 g Fe₂O₃
For N 2 + 3 H 2 → 2 N H 3 N_2 + 3H_2 \rightarrow 2NH_3 N 2 + 3 H 2 → 2 N H 3 , how many grams of N H 3 NH_3 N H 3 form from 28 g of N 2 N_2 N 2 ?
+ Show step-by-step solutionStep 1: Convert grams of N 2 N_2 N 2 to moles. Molar mass = 28.02 g/mol.
28 g ÷ 28.02 g/mol = 1.00 mol N 2 28 \text{ g} \div 28.02 \text{ g/mol} = 1.00 \text{ mol } N_2 28 g ÷ 28.02 g/mol = 1.00 mol N 2
Step 2: Apply the mole ratio. N 2 : N H 3 = 1 : 2 N_2 : NH_3 = 1:2 N 2 : N H 3 = 1 : 2 .
1.00 mol × 2 = 2.00 mol N H 3 1.00 \text{ mol} \times 2 = 2.00 \text{ mol } NH_3 1.00 mol × 2 = 2.00 mol N H 3
Step 3: Convert moles of N H 3 NH_3 N H 3 to grams. Molar mass = 17.03 g/mol.
2.00 mol × 17.03 g/mol = 34.1 g 2.00 \text{ mol} \times 17.03 \text{ g/mol} = 34.1 \text{ g} 2.00 mol × 17.03 g/mol = 34.1 g
Answer ≈34.1 g NH₃
Given 2 A g N O 3 + C a C l 2 → 2 A g C l + C a ( N O 3 ) 2 2AgNO_3 + CaCl_2 \rightarrow 2AgCl + Ca(NO_3)_2 2 A g N O 3 + C a C l 2 → 2 A g C l + C a ( N O 3 ) 2 , how many grams of A g C l AgCl A g C l precipitate form from 34 g of A g N O 3 AgNO_3 A g N O 3 ?
+ Show step-by-step solutionStep 1: Convert grams of A g N O 3 AgNO_3 A g N O 3 to moles. Molar mass = 107.87 + 14.01 + 3 ( 16.00 ) = 169.87 107.87 + 14.01 + 3(16.00) = 169.87 107.87 + 14.01 + 3 ( 16.00 ) = 169.87 g/mol.
34 g ÷ 169.87 g/mol = 0.2001 mol A g N O 3 34 \text{ g} \div 169.87 \text{ g/mol} = 0.2001 \text{ mol } AgNO_3 34 g ÷ 169.87 g/mol = 0.2001 mol A g N O 3
Step 2: Apply the mole ratio. A g N O 3 : A g C l = 2 : 2 = 1 : 1 AgNO_3 : AgCl = 2:2 = 1:1 A g N O 3 : A g C l = 2 : 2 = 1 : 1 .
0.2001 mol A g N O 3 = 0.2001 mol A g C l 0.2001 \text{ mol } AgNO_3 = 0.2001 \text{ mol } AgCl 0.2001 mol A g N O 3 = 0.2001 mol A g C l
Step 3: Convert moles of A g C l AgCl A g C l to grams. Molar mass = 107.87 + 35.45 = 143.32 107.87 + 35.45 = 143.32 107.87 + 35.45 = 143.32 g/mol.
0.2001 mol × 143.32 g/mol = 28.7 g 0.2001 \text{ mol} \times 143.32 \text{ g/mol} = 28.7 \text{ g} 0.2001 mol × 143.32 g/mol = 28.7 g
Answer ≈28.7 g AgCl
How many grams of C O 2 CO_2 C O 2 are released when 500 g of C a C O 3 CaCO_3 C a C O 3 fully decomposes in C a C O 3 → C a O + C O 2 CaCO_3 \rightarrow CaO + CO_2 C a C O 3 → C a O + C O 2 ?
+ Show step-by-step solutionStep 1: Convert grams of C a C O 3 CaCO_3 C a C O 3 to moles. Molar mass = 40.08 + 12.01 + 3 ( 16.00 ) = 100.09 40.08 + 12.01 + 3(16.00) = 100.09 40.08 + 12.01 + 3 ( 16.00 ) = 100.09 g/mol.
500 g ÷ 100.09 g/mol = 5.00 mol C a C O 3 500 \text{ g} \div 100.09 \text{ g/mol} = 5.00 \text{ mol } CaCO_3 500 g ÷ 100.09 g/mol = 5.00 mol C a C O 3
Step 2: Apply the mole ratio. C a C O 3 : C O 2 = 1 : 1 CaCO_3 : CO_2 = 1:1 C a C O 3 : C O 2 = 1 : 1 , so 5.00 mol C a C O 3 CaCO_3 C a C O 3 gives 5.00 mol C O 2 CO_2 C O 2 .
Step 3: Convert moles of C O 2 CO_2 C O 2 to grams. Molar mass = 44.01 g/mol.
5.00 mol × 44.01 g/mol = 220.1 g 5.00 \text{ mol} \times 44.01 \text{ g/mol} = 220.1 \text{ g} 5.00 mol × 44.01 g/mol = 220.1 g
Answer ≈220 g CO₂
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.
Given N 2 + 3 H 2 → 2 N H 3 N_2 + 3H_2 \rightarrow 2NH_3 N 2 + 3 H 2 → 2 N H 3 , if you start with 4 moles of N 2 N_2 N 2 and 9 moles of H 2 H_2 H 2 , which reactant is limiting?
+ Show step-by-step solutionStep 1: Find how much H 2 H_2 H 2 the available N 2 N_2 N 2 would need. Ratio N 2 : H 2 = 1 : 3 N_2 : H_2 = 1:3 N 2 : H 2 = 1 : 3 .
4 mol N 2 × 3 = 12 mol H 2 required 4 \text{ mol } N_2 \times 3 = 12 \text{ mol } H_2 \text{ required} 4 mol N 2 × 3 = 12 mol H 2 required
Step 2: Compare to what's available. Only 9 mol H 2 H_2 H 2 is available, but 12 mol is needed. H 2 H_2 H 2 runs out first.
Answer H₂ is the limiting reactant.
For 2 H 2 + O 2 → 2 H 2 O 2H_2 + O_2 \rightarrow 2H_2O 2 H 2 + O 2 → 2 H 2 O , if you have 10 g of H 2 H_2 H 2 and 10 g of O 2 O_2 O 2 , which is the limiting reactant, and how many grams of H 2 O H_2O H 2 O form?
+ Show step-by-step solutionStep 1: Convert both reactants to moles.
10 g H 2 ÷ 2.016 g/mol = 4.96 mol H 2 10 \text{ g } H_2 \div 2.016 \text{ g/mol} = 4.96 \text{ mol } H_2 10 g H 2 ÷ 2.016 g/mol = 4.96 mol H 2
10 g O 2 ÷ 32.00 g/mol = 0.3125 mol O 2 10 \text{ g } O_2 \div 32.00 \text{ g/mol} = 0.3125 \text{ mol } O_2 10 g O 2 ÷ 32.00 g/mol = 0.3125 mol O 2
Step 2: Find how much O 2 O_2 O 2 the available H 2 H_2 H 2 would need. Ratio H 2 : O 2 = 2 : 1 H_2 : O_2 = 2:1 H 2 : O 2 = 2 : 1 .
4.96 mol H 2 × 1 2 = 2.48 mol O 2 required 4.96 \text{ mol } H_2 \times \frac{1}{2} = 2.48 \text{ mol } O_2 \text{ required} 4.96 mol H 2 × 2 1 = 2.48 mol O 2 required
Step 3: Compare to what's available. Only 0.3125 mol O 2 O_2 O 2 is available, far short of the 2.48 mol needed. O 2 O_2 O 2 is limiting.
Step 4: Calculate H 2 O H_2O H 2 O from the limiting reactant. Ratio O 2 : H 2 O = 1 : 2 O_2 : H_2O = 1:2 O 2 : H 2 O = 1 : 2 .
0.3125 mol O 2 × 2 = 0.625 mol H 2 O 0.3125 \text{ mol } O_2 \times 2 = 0.625 \text{ mol } H_2O 0.3125 mol O 2 × 2 = 0.625 mol H 2 O
0.625 mol × 18.02 g/mol = 11.3 g 0.625 \text{ mol} \times 18.02 \text{ g/mol} = 11.3 \text{ g} 0.625 mol × 18.02 g/mol = 11.3 g
Answer O₂ is limiting; ≈11.3 g H₂O forms
Given 2 A l + 3 C l 2 → 2 A l C l 3 2Al + 3Cl_2 \rightarrow 2AlCl_3 2 A l + 3 C l 2 → 2 A l C l 3 , if you react 5.4 g of A l Al A l with 20 g of C l 2 Cl_2 C l 2 , which is limiting, and how many grams of A l C l 3 AlCl_3 A l C l 3 form?
+ Show step-by-step solutionStep 1: Convert both reactants to moles.
5.4 g A l ÷ 26.98 g/mol = 0.200 mol A l 5.4 \text{ g } Al \div 26.98 \text{ g/mol} = 0.200 \text{ mol } Al 5.4 g A l ÷ 26.98 g/mol = 0.200 mol A l
20 g C l 2 ÷ 70.90 g/mol = 0.282 mol C l 2 20 \text{ g } Cl_2 \div 70.90 \text{ g/mol} = 0.282 \text{ mol } Cl_2 20 g C l 2 ÷ 70.90 g/mol = 0.282 mol C l 2
Step 2: Find how much C l 2 Cl_2 C l 2 the available A l Al A l would need. Ratio A l : C l 2 = 2 : 3 Al : Cl_2 = 2:3 A l : C l 2 = 2 : 3 .
0.200 mol A l × 3 2 = 0.300 mol C l 2 required 0.200 \text{ mol } Al \times \frac{3}{2} = 0.300 \text{ mol } Cl_2 \text{ required} 0.200 mol A l × 2 3 = 0.300 mol C l 2 required
Step 3: Compare to what's available. Only 0.282 mol C l 2 Cl_2 C l 2 is available, but 0.300 mol is needed. C l 2 Cl_2 C l 2 runs out first and is limiting, not A l Al A l , even though C l 2 Cl_2 C l 2 's mass looks bigger here. Always check by moles and ratio, not by which mass looks bigger.
Step 4: Calculate A l C l 3 AlCl_3 A l C l 3 from the limiting reactant. Ratio C l 2 : A l C l 3 = 3 : 2 Cl_2 : AlCl_3 = 3:2 C l 2 : A l C l 3 = 3 : 2 .
0.282 mol C l 2 × 2 3 = 0.188 mol A l C l 3 0.282 \text{ mol } Cl_2 \times \frac{2}{3} = 0.188 \text{ mol } AlCl_3 0.282 mol C l 2 × 3 2 = 0.188 mol A l C l 3
0.188 mol × 133.33 g/mol = 25.1 g 0.188 \text{ mol} \times 133.33 \text{ g/mol} = 25.1 \text{ g} 0.188 mol × 133.33 g/mol = 25.1 g
Answer Cl₂ is limiting; ≈25.1 g AlCl₃ forms
For C H 4 + 2 O 2 → C O 2 + 2 H 2 O CH_4 + 2O_2 \rightarrow CO_2 + 2H_2O C H 4 + 2 O 2 → C O 2 + 2 H 2 O , if you burn 16 g of C H 4 CH_4 C H 4 with 48 g of O 2 O_2 O 2 , is there excess reactant left over, and if so, how much?
+ Show step-by-step solutionStep 1: Convert both reactants to moles.
16 g C H 4 ÷ 16.04 g/mol = 0.998 mol C H 4 16 \text{ g } CH_4 \div 16.04 \text{ g/mol} = 0.998 \text{ mol } CH_4 16 g C H 4 ÷ 16.04 g/mol = 0.998 mol C H 4
48 g O 2 ÷ 32.00 g/mol = 1.50 mol O 2 48 \text{ g } O_2 \div 32.00 \text{ g/mol} = 1.50 \text{ mol } O_2 48 g O 2 ÷ 32.00 g/mol = 1.50 mol O 2
Step 2: Find how much O 2 O_2 O 2 the available C H 4 CH_4 C H 4 would need. Ratio C H 4 : O 2 = 1 : 2 CH_4 : O_2 = 1:2 C H 4 : O 2 = 1 : 2 .
0.998 mol C H 4 × 2 = 2.00 mol O 2 required 0.998 \text{ mol } CH_4 \times 2 = 2.00 \text{ mol } O_2 \text{ required} 0.998 mol C H 4 × 2 = 2.00 mol O 2 required
Step 3: Compare to what's available. Only 1.50 mol O 2 O_2 O 2 is available, but 2.00 mol is needed. O 2 O_2 O 2 is limiting, which means C H 4 CH_4 C H 4 is the one left over in excess.
Step 4: Find how much C H 4 CH_4 C H 4 actually reacts with the available O 2 O_2 O 2 . Ratio O 2 : C H 4 = 2 : 1 O_2 : CH_4 = 2:1 O 2 : C H 4 = 2 : 1 .
1.50 mol O 2 × 1 2 = 0.75 mol C H 4 reacted 1.50 \text{ mol } O_2 \times \frac{1}{2} = 0.75 \text{ mol } CH_4 \text{ reacted} 1.50 mol O 2 × 2 1 = 0.75 mol C H 4 reacted
Step 5: Subtract to find the leftover C H 4 CH_4 C H 4 .
0.998 mol − 0.75 mol = 0.248 mol C H 4 remaining 0.998 \text{ mol} - 0.75 \text{ mol} = 0.248 \text{ mol } CH_4 \text{ remaining} 0.998 mol − 0.75 mol = 0.248 mol C H 4 remaining
0.248 mol × 16.04 g/mol = 4.0 g 0.248 \text{ mol} \times 16.04 \text{ g/mol} = 4.0 \text{ g} 0.248 mol × 16.04 g/mol = 4.0 g
Answer O₂ is limiting; ≈4.0 g of CH₄ is left over unreacted
Given 2 N a + C l 2 → 2 N a C l 2Na + Cl_2 \rightarrow 2NaCl 2 N a + C l 2 → 2 N a C l , if 46 g of N a Na N a reacts with 71 g of C l 2 Cl_2 C l 2 , how many grams of N a C l NaCl N a C l are produced?
+ Show step-by-step solutionStep 1: Convert both reactants to moles.
46 g N a ÷ 22.99 g/mol = 2.00 mol N a 46 \text{ g } Na \div 22.99 \text{ g/mol} = 2.00 \text{ mol } Na 46 g N a ÷ 22.99 g/mol = 2.00 mol N a
71 g C l 2 ÷ 70.90 g/mol = 1.00 mol C l 2 71 \text{ g } Cl_2 \div 70.90 \text{ g/mol} = 1.00 \text{ mol } Cl_2 71 g C l 2 ÷ 70.90 g/mol = 1.00 mol C l 2
Step 2: Check the ratio needed. N a : C l 2 = 2 : 1 Na : Cl_2 = 2:1 N a : C l 2 = 2 : 1 , and 2.00 : 1.00 2.00 : 1.00 2.00 : 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 N a C l NaCl N a C l . Ratio N a : N a C l = 2 : 2 = 1 : 1 Na : NaCl = 2:2 = 1:1 N a : N a C l = 2 : 2 = 1 : 1 .
2.00 mol N a × 1 = 2.00 mol N a C l 2.00 \text{ mol } Na \times 1 = 2.00 \text{ mol } NaCl 2.00 mol N a × 1 = 2.00 mol N a C l
2.00 mol × 58.44 g/mol = 116.9 g 2.00 \text{ mol} \times 58.44 \text{ g/mol} = 116.9 \text{ g} 2.00 mol × 58.44 g/mol = 116.9 g
Answer ≈117 g NaCl
For Z n + 2 H C l → Z n C l 2 + H 2 Zn + 2HCl \rightarrow ZnCl_2 + H_2 Z n + 2 H C l → Z n C l 2 + H 2 , if 13 g of Z n Zn Z n reacts with 20 g of H C l HCl H C l , how many grams of H 2 H_2 H 2 gas form?
+ Show step-by-step solutionStep 1: Convert both reactants to moles.
13 g Z n ÷ 65.38 g/mol = 0.199 mol Z n 13 \text{ g } Zn \div 65.38 \text{ g/mol} = 0.199 \text{ mol } Zn 13 g Z n ÷ 65.38 g/mol = 0.199 mol Z n
20 g H C l ÷ 36.46 g/mol = 0.548 mol H C l 20 \text{ g } HCl \div 36.46 \text{ g/mol} = 0.548 \text{ mol } HCl 20 g H C l ÷ 36.46 g/mol = 0.548 mol H C l
Step 2: Find how much H C l HCl H C l the available Z n Zn Z n would need. Ratio Z n : H C l = 1 : 2 Zn : HCl = 1:2 Z n : H C l = 1 : 2 .
0.199 mol Z n × 2 = 0.398 mol H C l required 0.199 \text{ mol } Zn \times 2 = 0.398 \text{ mol } HCl \text{ required} 0.199 mol Z n × 2 = 0.398 mol H C l required
Step 3: Compare to what's available. 0.548 mol H C l HCl H C l is available, more than the 0.398 mol needed. H C l HCl H C l is in excess, so Z n Zn Z n is limiting.
Step 4: Calculate H 2 H_2 H 2 from the limiting reactant. Ratio Z n : H 2 = 1 : 1 Zn : H_2 = 1:1 Z n : H 2 = 1 : 1 .
0.199 mol Z n = 0.199 mol H 2 0.199 \text{ mol } Zn = 0.199 \text{ mol } H_2 0.199 mol Z n = 0.199 mol H 2
0.199 mol × 2.016 g/mol = 0.40 g 0.199 \text{ mol} \times 2.016 \text{ g/mol} = 0.40 \text{ g} 0.199 mol × 2.016 g/mol = 0.40 g
Answer Zn is limiting; ≈0.40 g H₂ forms
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.
For 2 H 2 + O 2 → 2 H 2 O 2H_2 + O_2 \rightarrow 2H_2O 2 H 2 + O 2 → 2 H 2 O , the theoretical yield of water from a reaction is 36 g, but only 30 g is actually collected. What is the percent yield?
+ Show step-by-step solutionStep 1: Recall the percent yield formula.
percent yield = actual yield theoretical yield × 100 \text{percent yield} = \frac{\text{actual yield}}{\text{theoretical yield}} \times 100 percent yield = theoretical yield actual yield × 100
Step 2: Plug in the values.
30 g 36 g × 100 = 83.3 % \frac{30 \text{ g}}{36 \text{ g}} \times 100 = 83.3\% 36 g 30 g × 100 = 83.3%
Answer 83.3%
Given N 2 + 3 H 2 → 2 N H 3 N_2 + 3H_2 \rightarrow 2NH_3 N 2 + 3 H 2 → 2 N H 3 , 5 moles of N 2 N_2 N 2 reacts completely with excess H 2 H_2 H 2 . If only 6.8 moles of N H 3 NH_3 N H 3 are collected, what is the percent yield?
+ Show step-by-step solutionStep 1: Calculate the theoretical yield of N H 3 NH_3 N H 3 . Ratio N 2 : N H 3 = 1 : 2 N_2 : NH_3 = 1:2 N 2 : N H 3 = 1 : 2 .
5 mol N 2 × 2 = 10 mol N H 3 (theoretical) 5 \text{ mol } N_2 \times 2 = 10 \text{ mol } NH_3 \text{ (theoretical)} 5 mol N 2 × 2 = 10 mol N H 3 (theoretical)
Step 2: Apply the percent yield formula.
6.8 mol 10 mol × 100 = 68 % \frac{6.8 \text{ mol}}{10 \text{ mol}} \times 100 = 68\% 10 mol 6.8 mol × 100 = 68%
Answer 68%
For C a C O 3 → C a O + C O 2 CaCO_3 \rightarrow CaO + CO_2 C a C O 3 → C a O + C O 2 , 250 g of C a C O 3 CaCO_3 C a C O 3 decomposes and produces 96 g of C O 2 CO_2 C O 2 . What is the percent yield?
+ Show step-by-step solutionStep 1: Convert grams of C a C O 3 CaCO_3 C a C O 3 to moles. Molar mass = 100.09 g/mol.
250 g ÷ 100.09 g/mol = 2.498 mol C a C O 3 250 \text{ g} \div 100.09 \text{ g/mol} = 2.498 \text{ mol } CaCO_3 250 g ÷ 100.09 g/mol = 2.498 mol C a C O 3
Step 2: Calculate theoretical moles and mass of C O 2 CO_2 C O 2 . Ratio C a C O 3 : C O 2 = 1 : 1 CaCO_3 : CO_2 = 1:1 C a C O 3 : C O 2 = 1 : 1 .
2.498 mol C O 2 × 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)} 2.498 mol C O 2 × 44.01 g/mol = 109.9 g (theoretical)
Step 3: Apply the percent yield formula.
96 g 109.9 g × 100 = 87.3 % \frac{96 \text{ g}}{109.9 \text{ g}} \times 100 = 87.3\% 109.9 g 96 g × 100 = 87.3%
Answer ≈87.3%
Given 2 C 2 H 6 + 7 O 2 → 4 C O 2 + 6 H 2 O 2C_2H_6 + 7O_2 \rightarrow 4CO_2 + 6H_2O 2 C 2 H 6 + 7 O 2 → 4 C O 2 + 6 H 2 O , 60 g of C 2 H 6 C_2H_6 C 2 H 6 reacts completely with excess O 2 O_2 O 2 . If the actual yield of C O 2 CO_2 C O 2 is 150 g, what is the percent yield?
+ Show step-by-step solutionStep 1: Convert grams of C 2 H 6 C_2H_6 C 2 H 6 to moles. Molar mass = 30.07 g/mol.
60 g ÷ 30.07 g/mol = 1.996 mol C 2 H 6 60 \text{ g} \div 30.07 \text{ g/mol} = 1.996 \text{ mol } C_2H_6 60 g ÷ 30.07 g/mol = 1.996 mol C 2 H 6
Step 2: Calculate theoretical moles and mass of C O 2 CO_2 C O 2 . Ratio C 2 H 6 : C O 2 = 2 : 4 = 1 : 2 C_2H_6 : CO_2 = 2:4 = 1:2 C 2 H 6 : C O 2 = 2 : 4 = 1 : 2 .
1.996 mol × 2 = 3.992 mol C O 2 1.996 \text{ mol} \times 2 = 3.992 \text{ mol } CO_2 1.996 mol × 2 = 3.992 mol C O 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)} 3.992 mol × 44.01 g/mol = 175.7 g (theoretical)
Step 3: Apply the percent yield formula.
150 g 175.7 g × 100 = 85.4 % \frac{150 \text{ g}}{175.7 \text{ g}} \times 100 = 85.4\% 175.7 g 150 g × 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.