Stoichiometry: Mole Ratio, Molar Mass & Conversions

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Questions and Answers

In the reaction $2Al_2O_3(l) \rightarrow 4Al(s) + 3O_2(g)$, what is the mole ratio of $Al$ to $O_2$?

  • 1:1
  • 3:4
  • 2:3
  • 4:3 (correct)

Which statement best describes the relationship between reaction stoichiometry and balanced chemical equations?

  • Balanced chemical equations are optional for reaction stoichiometry calculations.
  • A balanced chemical equation is essential for determining the mole ratios needed in reaction stoichiometry. (correct)
  • Reaction stoichiometry calculations can be performed without a balanced chemical equation if molar masses are known.
  • Reaction stoichiometry is used to balance chemical equations.

For the reaction $CO_2(g) + 2LiOH(s) \rightarrow Li_2CO_3(s) + H_2O(l)$, what conversion factor is needed to determine the mass of $Li_2CO_3$ produced from a given mass of $CO_2$?

  • Molar mass of $CO_2$, molar mass of $Li_2CO_3$, and the mole ratio of $CO_2$ to $Li_2CO_3$ (correct)
  • Molar mass of $CO_2$
  • Molar mass of $CO_2$ and the mole ratio of $CO_2$ to $Li_2CO_3$
  • Mole ratio of $CO_2$ to $Li_2CO_3$ only

Consider the reaction: $4NH_3(g) + 5O_2(g) \rightarrow 4NO(g) + 6H_2O(g)$. If 34 grams of $NH_3$ react completely, how many moles of $H_2O$ are produced?

<p>1.5 mol (D)</p> Signup and view all the answers

In composition stoichiometry, what information is primarily analyzed?

<p>The mass relationships of elements within a compound. (C)</p> Signup and view all the answers

If 10.0 grams of $N_2O$ are produced in the reaction $NH_4NO_3(s) \rightarrow N_2O(g) + 2H_2O(l)$, what mass of $NH_4NO_3$ was required?

<p>18.2 g (C)</p> Signup and view all the answers

How does the concept of molar mass connect composition and reaction stoichiometry?

<p>Molar mass is a conversion factor applicable to both composition and reaction stoichiometry. (A)</p> Signup and view all the answers

In the context of stoichiometry, what is a 'mole ratio' primarily used for?

<p>Relating the amounts of any two substances in a chemical reaction. (D)</p> Signup and view all the answers

For the reaction $6CO_2(g) + 6H_2O(l) \rightarrow C_6H_{12}O_6(s) + 6O_2(g)$, if you start with 12 moles of $CO_2$, what mass of glucose ($C_6H_{12}O_6$) can theoretically be produced?

<p>360 g (A)</p> Signup and view all the answers

What is the key difference between using stoichiometry for compositional analysis versus reaction yield calculations?

<p>Compositional analysis focuses on mass percentages within a compound, while reaction yield focuses on relating reactant amounts to product amounts. (C)</p> Signup and view all the answers

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Flashcards

Composition Stoichiometry

Deals with the mass relationships of elements in compounds.

Reaction Stoichiometry

Involves the mass relationships between reactants and products in a chemical reaction; requires a balanced equation.

Mole Ratio

A conversion factor derived from the coefficients of a balanced chemical equation, relating the amounts in moles of any two substances.

Molar Mass

The mass of one mole of a chemical compound, expressed in grams per mole (g/mol).

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Mole-to-Mole Conversion

A stoichiometry problem where you convert from moles of one substance to moles of another substance using the mole ratio from the balanced equation.

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Mole-to-Mass Conversion

A stoichiometry problem where you convert from moles of one substance to grams of another substance, using the mole ratio and molar mass.

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Mass-to-Mole Conversion

A stoichiometry problem where you convert from grams of one substance to moles of another substance, using molar mass and the mole ratio.

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Mass-to-Mass Conversion

A stoichiometry problem where you convert from grams of one substance to grams of another substance, using molar mass and the mole ratio.

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Study Notes

  • Composition stoichiometry deals with mass relationships of elements in compounds.
  • Reaction stoichiometry involves mass relationships among reactants and products in a chemical reaction.
  • All reaction stoichiometry calculations must start with a balanced equation.

Mole Ratio

  • A mole ratio is a conversion factor that relates the amounts in moles of any two substances involved in a chemical equation.
  • For the equation 2Al₂O₃(l) → 4Al(s) + 3O₂(g), mole ratios can be written to compare any two of the substances.

Molar Mass

  • Molar mass is the mass of one mole of a chemical compound.
  • The unit for molar mass is grams per mole (g/mol).
  • Molar mass can be used as a conversion factor between mass and moles.

Stoichiometric Problems

  • Stoichiometric problems include: mole to mole, mole to mass, mass to mole, and mass to mass conversions.

Mole to Mole Conversion

  • Example: CO₂(g) + 2LiOH(s) → Li₂CO₃(s) + H₂O(l)
  • Problem: How many moles of lithium hydroxide are required to react with 20. moles of CO₂?
  • Solution:
    • Given: 20 mol CO₂
    • Unknown: ? mol LiOH
    • Ratio: 1 mol CO₂ : 2 mol LiOH
    • Calculation: 20 mol CO₂ * (2 mol LiOH / 1 mol CO₂)

Mole to Mass Conversion

  • Example: 6CO₂(g) + 6H₂O(l) → C₆H₁₂O₆(s) + 6O₂(g)
  • Problem: What mass, in grams, of glucose is produced when 3.00 mol of water reacts with carbon dioxide?
    • Given: 3 mol H₂O
    • Unknown: ? mass of C₆H₁₂O₆
    • Ratio: 6 mol H₂O : 1 mol C₆H₁₂O₆ (180 g)
    • Calculation: 3 mol H₂O * (180 g C₆H₁₂O₆ / 6 mol H₂O)

Mass to Mole Conversion

  • Example: 4NH₃(g) + 5O₂(g) → 4NO(g) + 6H₂O(g)
  • Problem: If 824 g NH₃ reacts with excess O₂, how many moles of NO are formed?
    • Given: 824 g NH₃
    • Unknown: ? mol NO
    • Ratio: 4(17) g NH₃ : 4 mol NO
    • Calculation: 824 g NH₃ * (4 mol NO / (4 * 17) g NH₃) = 48.5 mol

Mass to Mass Conversion

  • Example: NH₄NO₃(s) → N₂O(g) + 2H₂O(l)
  • Problem: How many grams of NH₄NO₃ are required to produce 33.0 g N₂O?
    • Ratio: 1(80) g NH₄NO₃ : 1(44) g N₂O
    • Calculation: 33 g N₂O * (80 g NH₄NO₃ / 44 g N₂O)

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