Stoichiometry

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AP Chemistry › Stoichiometry

Questions 1 - 10
1

Copper(II) oxide reacts with carbon monoxide according to the balanced equation: $;\text{CuO}(s)+\text{CO}(g)\rightarrow \text{Cu}(s)+\text{CO}_2(g)$. If $2.0\ \text{mol}$ of $\text{CuO}$ reacts completely with excess $\text{CO}$, how many moles of $\text{CO}_2$ are produced?

$0.50\ \text{mol}$

$4.0\ \text{mol}$

$3.0\ \text{mol}$

$2.0\ \text{mol}$

$1.0\ \text{mol}$

Explanation

This question assesses the skill of stoichiometry. The balanced equation CuO + CO → Cu + CO2 provides mole ratios based on the coefficients, which are all 1 in this case. These ratios indicate that 1 mole of CuO produces 1 mole of CO2. To find the moles of CO2 from 2.0 mol of CuO with excess CO, apply the 1:1 ratio directly, resulting in 2.0 mol of CO2. A tempting distractor is 4.0 mol, which might arise from mistakenly doubling the amount due to confusion with a different equation's coefficients. Always start from the balanced equation and convert to moles before applying ratios.

2

Aluminum reacts with bromine according to the balanced equation: $;2\text{Al}(s)+3\text{Br}_2(l)\rightarrow 2\text{AlBr}_3(s)$. If $0.300\ \text{mol}$ of $\text{Al}$ reacts completely with excess $\text{Br}_2$, how many moles of $\text{AlBr}_3$ are produced?

$0.200\ \text{mol}$

$0.900\ \text{mol}$

$0.300\ \text{mol}$

$0.450\ \text{mol}$

$0.600\ \text{mol}$

Explanation

This question assesses the skill of stoichiometry. The balanced equation 2Al + 3Br2 → 2AlBr3 provides mole ratios, with 2 moles of Al producing 2 moles of AlBr3, or a 1:1 ratio. These ratios relate the given moles of Al to the moles of AlBr3. For 0.300 mol of Al with excess Br2, the amount is 0.300 mol of AlBr3. A tempting distractor is 0.450 mol, possibly from mistakenly using the Br2 coefficient in the ratio. Always start from the balanced equation and convert to moles before applying ratios.

3

Zinc reacts with hydrochloric acid according to the balanced equation: $;\text{Zn}(s)+2\text{HCl}(aq)\rightarrow \text{ZnCl}_2(aq)+\text{H}_2(g)$. If $0.500\ \text{mol}$ of $\text{HCl}$ reacts completely with excess $\text{Zn}$, how many moles of $\text{H}_2$ are produced?

$0.125\ \text{mol}$

$0.250\ \text{mol}$

$0.500\ \text{mol}$

$0.750\ \text{mol}$

$1.00\ \text{mol}$

Explanation

This question assesses the skill of stoichiometry. The balanced equation Zn + 2HCl → ZnCl2 + H2 provides mole ratios, with 2 moles of HCl producing 1 mole of H2. These ratios link the given moles of HCl to the moles of H2. For 0.500 mol of HCl with excess Zn, divide by 2 to obtain 0.250 mol of H2. A tempting distractor is 0.500 mol, perhaps from assuming a 1:1 ratio without the coefficient. Always start from the balanced equation and convert to moles before applying ratios.

4

Ammonia is synthesized according to the balanced equation $\text{N}_2(g)+3\text{H}_2(g)\rightarrow 2\text{NH}_3(g)$. If $0.80\ \text{mol}$ of $\text{N}_2$ reacts completely with excess $\text{H}_2$, how many moles of $\text{NH}_3$ are formed?

$0.80\ \text{mol}$

$2.4\ \text{mol}$

$0.40\ \text{mol}$

$1.6\ \text{mol}$

$0.27\ \text{mol}$

Explanation

This question tests stoichiometry. The balanced equation N₂(g) + 3H₂(g) → 2NH₃(g) provides mole ratios, such as 1 mol N₂ to 2 mol NH₃. These ratios allow us to convert the given moles of N₂ to moles of NH₃. For 0.80 mol N₂, the calculation is 0.80 mol N₂ × (2 mol NH₃ / 1 mol N₂) = 1.6 mol NH₃. A tempting distractor is 0.80 mol, which results from mistakenly using a 1:1 ratio instead of 2:1. Always start from the balanced equation and convert to moles before applying ratios.

5

Aluminum reacts with chlorine gas to form aluminum chloride according to the balanced equation below:

$$2,\text{Al}(s)+3,\text{Cl}_2(g)\rightarrow 2,\text{AlCl}_3(s)$$

If $0.90\ \text{mol}$ of $\text{Cl}_2(g)$ reacts with excess $\text{Al}(s)$, how many moles of $\text{AlCl}_3(s)$ are produced?

$1.35\ \text{mol}$

$0.30\ \text{mol}$

$0.90\ \text{mol}$

$1.80\ \text{mol}$

$0.60\ \text{mol}$

Explanation

This stoichiometry problem requires finding aluminum chloride produced from chlorine gas. The balanced equation shows that $3 \text{ mol } \text{Cl}_2$ produces $2 \text{ mol } \text{AlCl}_3$, establishing a 3:2 ratio. Starting with 0.90 mol Cl₂: $(0.90 \text{ mol } \text{Cl}_2) \times \left( \frac{2 \text{ mol } \text{AlCl}_3}{3 \text{ mol } \text{Cl}_2} \right) = 0.60 \text{ mol } \text{AlCl}_3$. Choice C ($0.90 \text{ mol}$) incorrectly assumes equal moles of reactant and product. Always apply the stoichiometric coefficients as a ratio to convert between different substances in the reaction.

6

Calcium carbonate reacts with hydrochloric acid according to the balanced equation below:

$$\mathrm{CaCO_3(s) + 2,HCl(aq) \rightarrow CaCl_2(aq) + CO_2(g) + H_2O(l)}$$

If $0.30\ \text{mol}$ of $\mathrm{CaCO_3}$ reacts completely with excess $\mathrm{HCl}$, how many moles of $\mathrm{HCl}$ are consumed?

$0.60\ \text{mol}$

$0.30\ \text{mol}$

$0.90\ \text{mol}$

$1.2\ \text{mol}$

$0.15\ \text{mol}$

Explanation

This problem applies stoichiometry to find moles of HCl consumed in a reaction with calcium carbonate. The balanced equation CaCO₃ + 2HCl → CaCl₂ + CO₂ + H₂O indicates that 1 mole of CaCO₃ reacts with 2 moles of HCl, establishing a 2:1 ratio. Starting with 0.30 mol CaCO₃, we calculate: 0.30 mol CaCO₃ × (2 mol HCl/1 mol CaCO₃) = 0.60 mol HCl. A common mistake would be assuming a 1:1 ratio and answering 0.30 mol, ignoring the coefficient of 2 for HCl. Always check the coefficients in the balanced equation carefully, as they directly determine the mole ratios needed for calculations.

7

Magnesium reacts with nitrogen gas to form magnesium nitride:

$$\mathrm{3,Mg(s) + N_2(g) \rightarrow Mg_3N_2(s)}$$

If $0.90\ \text{mol}$ of $\mathrm{Mg}$ reacts completely with excess $\mathrm{N_2}$, how many moles of $\mathrm{Mg_3N_2}$ are formed?

$0.60\ \text{mol}$

$0.30\ \text{mol}$

$0.90\ \text{mol}$

$2.7\ \text{mol}$

$1.2\ \text{mol}$

Explanation

This problem uses stoichiometry to calculate magnesium nitride formation from magnesium metal. The balanced equation 3Mg + N₂ → Mg₃N₂ reveals that 3 moles of Mg produce 1 mole of Mg₃N₂, establishing a 1:3 ratio. From 0.90 mol Mg, we calculate: 0.90 mol Mg × (1 mol Mg₃N₂/3 mol Mg) = 0.30 mol Mg₃N₂. A common error would be to multiply by 3 instead of divide, giving 2.7 mol, which reverses the relationship between reactant and product. Always verify your mole ratio by checking that units cancel properly: mol Mg × (mol Mg₃N₂/mol Mg) = mol Mg₃N₂.

8

The balanced equation for the combustion of propane is shown below.

$$\mathrm{C_3H_8(g) + 5,O_2(g) \rightarrow 3,CO_2(g) + 4,H_2O(g)}$$

If $2.0\ \text{mol}$ of $\mathrm{C_3H_8}$ reacts completely with excess $\mathrm{O_2}$, how many moles of $\mathrm{CO_2}$ are produced?

$6.0\ \text{mol}$

$0.67\ \text{mol}$

$8.0\ \text{mol}$

$10\ \text{mol}$

$3.0\ \text{mol}$

Explanation

This problem requires stoichiometry to determine the moles of CO₂ produced from propane combustion. The balanced equation C₃H₈ + 5O₂ → 3CO₂ + 4H₂O shows that 1 mole of C₃H₈ produces 3 moles of CO₂, giving a mole ratio of 3:1. To find moles of CO₂ from 2.0 mol C₃H₈, multiply: 2.0 mol C₃H₈ × (3 mol CO₂/1 mol C₃H₈) = 6.0 mol CO₂. A common error would be to use the coefficient of O₂ (5) instead of CO₂ (3), which would incorrectly give 10 mol as the answer. Always identify the correct mole ratio from the balanced equation by finding the coefficients of your given and desired substances.

9

Magnesium reacts with oxygen according to the balanced equation $\mathrm{2Mg(s) + O_2(g) \rightarrow 2MgO(s)}$. If $1.00\ \text{mol}$ of $\mathrm{Mg}$ reacts with excess $\mathrm{O_2}$, how many moles of $\mathrm{O_2}$ are consumed?

$0.25\ \text{mol}$

$0.50\ \text{mol}$

$4.00\ \text{mol}$

$2.00\ \text{mol}$

$1.00\ \text{mol}$

Explanation

This problem requires stoichiometry to find how much oxygen is consumed when magnesium reacts. The balanced equation 2Mg(s) + O₂(g) → 2MgO(s) provides the mole ratio: 2 moles of Mg react with 1 mole of O₂. Starting with 1.00 mol Mg, we calculate: 1.00 mol Mg × (1 mol O₂)/(2 mol Mg) = 0.50 mol O₂. A common error would be to use the coefficient 2 incorrectly, perhaps thinking that 1.00 mol Mg requires 2.00 mol O₂ (answer D), which reverses the actual ratio. Always write out the mole ratio as a fraction with the desired substance in the numerator and the given substance in the denominator, using coefficients from the balanced equation.

10

Hydrogen peroxide decomposes according to the balanced equation $\mathrm{2H_2O_2(aq) \rightarrow 2H_2O(l) + O_2(g)}$. If $0.80\ \text{mol}$ of $\mathrm{H_2O_2}$ decomposes completely, how many moles of $\mathrm{O_2}$ are produced?

$0.40\ \text{mol}$

$1.60\ \text{mol}$

$0.80\ \text{mol}$

$0.20\ \text{mol}$

$2.40\ \text{mol}$

Explanation

This problem involves stoichiometry in a decomposition reaction to find moles of oxygen produced. The balanced equation 2H₂O₂(aq) → 2H₂O(l) + O₂(g) shows that 2 moles of H₂O₂ produce 1 mole of O₂. Starting with 0.80 mol H₂O₂, we calculate: 0.80 mol H₂O₂ × (1 mol O₂)/(2 mol H₂O₂) = 0.40 mol O₂. A common error would be to use a 1:1 ratio, thinking each H₂O₂ produces one O₂, giving 0.80 mol (answer C), but the balanced equation clearly shows the 2:1 ratio. Always use the coefficients from the balanced equation to establish the correct mole ratio, even when it seems counterintuitive.

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