Mole Ratios and Calculations
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Questions and Answers

Given the balanced equation N2 + 3H2 → 2NH3, if you start with 0.5 mol of N2, how many moles of NH3 can be produced?

  • 2.0 mol
  • 1.5 mol
  • 0.5 mol
  • 1.0 mol (correct)

In the balanced chemical equation N2 + 3H2 → 2NH3, the mole ratio of H2 to NH3 is 3:1.

True (A)

Write the mole ratio of $Al$ to $Al_2O_3$ from this equation: $4Al(s) + 3O_2(g) \rightarrow 2Al_2O_3(s)$

2:1

In the balanced equation N2 + 3H2 → 2NH3, for every mole of N2, ______ moles of H2 are required.

<p>3</p> Signup and view all the answers

Which step is crucial for determining the amount of product formed in a chemical reaction?

<p>Balancing the chemical equation. (B)</p> Signup and view all the answers

Given the balanced chemical equation $4Al(s) + 3O_2(g) \rightarrow 2Al_2O_3(s)$, what is the mole ratio of $O_2$ to $Al_2O_3$?

<p>3:2 (B)</p> Signup and view all the answers

Using the balanced equation $N_2 + 3H_2 \rightarrow 2NH_3$, if 6 moles of $H_2$ are used, how many moles of $NH_3$ will be produced?

<p>4</p> Signup and view all the answers

The coefficients in a balanced chemical equation represent the mass ratio of the reactants and products.

<p>False (B)</p> Signup and view all the answers

In the context of making fish tacos, what does the 'limiting ingredient' primarily determine?

<p>The maximum number of tacos that can be made. (C)</p> Signup and view all the answers

Excess ingredients affect the maximum yield of a product.

<p>False (B)</p> Signup and view all the answers

Define 'limiting ingredient' in the context of a recipe.

<p>The ingredient that restricts the amount of product made.</p> Signup and view all the answers

If you have excess fish, cabbage, cilantro, salsa and lime, but only two tortillas, the ___________ is the limiting ingredient.

<p>tortillas</p> Signup and view all the answers

In making sausage sandwiches, if sausages come in packs of 5 and buns come in packs of 8, what is the maximum number of sandwiches you can make with one pack of each?

<p>5 (D)</p> Signup and view all the answers

The limiting ingredient is always the most expensive ingredient in a recipe.

<p>False (B)</p> Signup and view all the answers

What is the balanced equation for making a sausage sandwich, where S represents sausages and B represents buns?

<p>1S + 1B -&gt; 1 Sandwich</p> Signup and view all the answers

What can be inferred if you have excess ingredients after making as many products as possible?

<p>The excess ingredients can be saved for future production. (A)</p> Signup and view all the answers

Which of the following correctly represents the mole ratio needed to convert from moles of a generic substance G to moles of a generic substance W?

<p>$\frac{b \text{ mol W}}{a \text{ mol G}}$ (A)</p> Signup and view all the answers

When using the mole-mole flowchart, the coefficients from a balanced chemical equation are used to determine the mole ratios.

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

In the reaction $2H_2 + O_2 \rightarrow 2H_2O$, if 50 moles of $H_2O$ are produced, how many moles of $O_2$ are required?

<p>25</p> Signup and view all the answers

To ensure proper unit cancellation when applying mole ratios, the units of the 'given' quantity in the numerator should match the units of the same substance in the ______ of the mole ratio.

<p>denominator</p> Signup and view all the answers

For the reaction $N_2 + 3H_2 \rightarrow 2NH_3$, if you start with 1.20 mol of $N_2$, how many moles of $NH_3$ can be produced, assuming sufficient $H_2$?

<p>2.40 mol (D)</p> Signup and view all the answers

Which step is essential when using stoichiometry to calculate the amount of a product formed from a given amount of reactant?

<p>Balancing the chemical equation. (D)</p> Signup and view all the answers

In a chemical reaction, what is the significance of the limiting reagent?

<p>It determines the maximum amount of product that can be formed. (B)</p> Signup and view all the answers

If a reaction has a 1:1 mole ratio between reactant A and product B, and you start with 3 moles of A, how many moles of B can theoretically be produced?

<p>3</p> Signup and view all the answers

If the amount of $R_2$ calculated is less than the amount of $R_2$ needed, then $R_2$ is the excess reagent.

<p>False (B)</p> Signup and view all the answers

If the mole ratio from a balanced equation is $\frac{1 \text{ mol A}}{2 \text{ mol B}}$, then 4 moles of B are required to react completely with 2 moles of A.

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

Briefly explain how the mole ratio is utilized in determining whether a reactant is limiting or in excess.

<p>The mole ratio is used to compare the moles of reactants available to the moles needed for complete reaction according to the balanced equation. This comparison indicates whether a reactant will be completely consumed (limiting) or left over (excess).</p> Signup and view all the answers

The ___________ reagent limits the reaction and is used in a mole-mass calculation with the mole ratio to determine the mass of the product.

<p>limiting</p> Signup and view all the answers

In the reaction $aR_1 + bR_2 → cW$, how do you determine the moles of $R_2$ needed for a complete reaction with a given amount of $R_1$?

<p>Multiply the moles of $R_1$ by $b/a$. (D)</p> Signup and view all the answers

If you are given the masses of reactants $R_1$ and $R_2$, what is the first step in determining which reactant is limiting?

<p>Convert the mass of each reactant to moles. (D)</p> Signup and view all the answers

The excess reagent is completely consumed during a chemical reaction.

<p>False (B)</p> Signup and view all the answers

Match the following terms with their descriptions in the context of chemical reactions:

<p>Limiting Reagent = Reactant that determines the maximum amount of product formed. Excess Reagent = Reactant present in a greater quantity than necessary for complete reaction. Mole Ratio = Ratio of moles of reactants and products in a balanced chemical equation. Mole-Mass Relationship = Conversion factor between moles and mass of a substance.</p> Signup and view all the answers

In stoichiometric calculations involving gases, what is used to convert from moles to liters?

<p>Molar volume (B)</p> Signup and view all the answers

When 2 mol of NO2 are produced for each 1 mol of O2 that reacts, the volume of NO2 should be half the volume of O2.

<p>False (B)</p> Signup and view all the answers

What volume of oxygen is required to completely burn 3.86 L of carbon monoxide according to the following reaction: 2CO(g) + O2(g) → 2CO2(g)?

<p>1.93 L O2</p> Signup and view all the answers

In stoichiometric problems, _________ can be measured easily for solids and liquids, while __________ can be measured easily for gases.

<p>mass; volume</p> Signup and view all the answers

What does the roadmap for solving stoichiometric problems involving mass-volume calculations use to relate the mass of a solid or liquid reactant to the volume of a gaseous product?

<p>Conversion to moles as an intermediate step (C)</p> Signup and view all the answers

In the context of stoichiometric calculations, what is the primary purpose of the 'mole ratio' step?

<p>To establish the proportional relationship between reactants and products. (C)</p> Signup and view all the answers

When solving stoichiometric problems, it is generally unnecessary to evaluate if the result makes sense in the context of the chemical reaction.

<p>False (B)</p> Signup and view all the answers

Match each step in solving stoichiometric problems with its description:

<p>Given quantity = The starting information provided in the problem. Change to moles = Conversion of the given quantity to its equivalent in moles. Mole ratio = The ratio between moles of reactants and products in the balanced chemical equation. Change to liters = Conversion of moles to liters using molar volume or ideal gas law.</p> Signup and view all the answers

In a chemical reaction, what primarily determines the amount of product that can be formed?

<p>The limiting reagent. (C)</p> Signup and view all the answers

The excess reagent is completely used up in a chemical reaction.

<p>False (B)</p> Signup and view all the answers

What happens to a reaction once the limiting reagent is used up?

<p>The reaction stops.</p> Signup and view all the answers

In the balanced reaction $N_2(g) + 3H_2(g) \rightarrow 2NH_3(g)$, if you start with 1 mole of $N_2$ and 4 moles of $H_2$, the ______ is the limiting reagent.

<p>nitrogen</p> Signup and view all the answers

Match each scenario to the reagent that is most likely the limiting reagent:

<p>Baking a cake with very little flour. = Flour Combustion in a room with limited oxygen. = Oxygen Building a bicycle with only one wheel. = Wheel</p> Signup and view all the answers

Consider a scenario where 2 moles of $N_2$ react with 5 moles of $H_2$ to produce $NH_3$. Which of the following statements is correct?

<p>$H_2$ is the limiting reagent, and $N_2$ is in excess. (A)</p> Signup and view all the answers

A chemist mixes 2.0 mol of $H_2$ with 1.0 mol of $O_2$ which react according to the equation: $2H_2 + O_2 \rightarrow 2H_2O$. What is the limiting reactant?

<p>$H_2$ (B)</p> Signup and view all the answers

If 4.0g of $H_2$ is allowed to react with 14.0g of $N_2$, producing 16.4g of $NH_3$, determine the theoretical yield of ammonia in grams.

<p>17.0</p> Signup and view all the answers

Flashcards

Chemical Equation Format

aR1 + bR2 → cW represents a chemical reaction

Mass to Moles Conversion

Using the mass of a reactant to find the moles.

Given Quantities

The experimentally available amount of each reactant is known.

Mole Ratio

The ratio of moles between reactants in a balanced equation.

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Limiting Reagent

The reactant that limits the amount of product formed.

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Excess Reagent

The reactant present in excess compared to the limiting reagent.

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Determining Limiting Reagent

Comparing available versus needed moles to determine which is limiting/excess.

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Mass from Limiting Reagent

Using the limiting reagent to calculate the theoretical product yield.

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Balanced Reactants

Reactants are in correct stoichiometric ratios according to balanced equation, meaning they will be fully consumed.

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Unbalanced Reactants

Not all reactants are consumed completely. Limiting reagent is used up, while excess reagent remains.

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Balanced Chemical Equation

A chemical reaction "recipe" showing the exact number of molecules/moles of reactants and products.

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Theoretical Yield

The maximum amount of product that can form when the limiting reactant is completely consumed.

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Actual Yield

The actual amount of product obtained from a chemical reaction.

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Percent Yield

Ratio of actual yield to theoretical yield, expressed as a percentage.

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Limiting Ingredient

The reactant that limits the amount of product formed.

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Excess Ingredients

Reactants present in a quantity greater than necessary to react completely with the limiting reactant.

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Taco Production

Combining ingredients produces a desired result. The amount of product is limited by the ingredient that runs out first.

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Reactant Amounts

Reactants are combined in specific amounts, and will limit the amount of product.

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Balanced Equation

A way to represent the proportional relationship between reactants and products in a chemical reaction.

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Sausage Sandwich Production

Sausages come in packs of five, and buns in packs of eight. How many sausage sandwiches can you make?

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Sausage Sandwich Limiting Ingredient

Buns will determine the number of sandwiches, because there are 8 buns vs 5 sausages.

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Sausage Sandwich Excess Ingredient

Sausages that you cannot turn into sandwiches, because there aren't enough buns.

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Balanced Equation Importance

A balanced chemical equation is required for mole ratio calculations.

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What is a Mole Ratio?

It represents the ratio of moles between any two substances in a balanced chemical equation.

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Using Mole Ratio

To convert from moles of one substance to moles of another, use the mole ratio as a conversion factor.

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N2 to NH3 Mole Ratio

In the reaction N2 + 3H2 → 2NH3, 1 mole of N2 reacts to produce 2 moles of NH3.

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What does 'Calculate' mean?

To solve for an unknown quantity using mole ratios.

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Calculating Moles of NH3

In the reaction N2 + 3H2 -> 2NH3, if you start with 0.60 mol N2, you'll produce 1.2 mol NH3.

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What does 'Evaluate' mean?

Verifying if the calculated amount makes sense in the context of the balanced equation.

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4Al(s) + 3O2(g) → 2Al2O3(s)

4 moles of Al react with 3 moles of O2 to produce 2 moles of Al2O3.

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Mole-Mole Conversion

A method to convert from one unit to another using mole ratios from a balanced chemical equation.

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Mole-Mole Flowchart

A visual guide to solve stoichiometry problems involving mole-mole conversions.

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Balanced Equation Example

2H2 + O2 → 2H2O. This balanced equation shows two moles of H2 react with one mole of O2 to produce two moles of H2O.

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Applying Mole Ratio

Using the mole ratio from the balanced equation to convert moles of one substance to moles of another.

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O2 required to produce 25 mol of H2O

12.5 mol O2 is required to produce 25 mol H2O.

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H2 required to produce 25 mol of H2O

2H2 + O2 → 2H2O 25 mol H2 result in 25 mol H2O.

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Calculating Moles of Product

0.60 mol N2 produces an unknown amount of NH3. The goal is to find the moles of NH3 produced from a given amount of N2.

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Molar Volume

The volume occupied by one mole of any gas at standard temperature and pressure (STP), approximately 22.4 L/mol.

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Evaluate the Result

Ensuring the calculated result is reasonable and consistent with the problem's conditions.

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CO Combustion Equation

2CO(g) + O2(g) → 2CO2(g): 2 volumes of CO react with 1 volume of O2 to produce 2 volumes of CO2.

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Measuring Reactants

Mass is easily measured for solids/liquids and volume for gases. Stoichiometry connects these in reactions.

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Stoichiometry Roadmap

A step-by-step strategy that convert mass to moles, use the mole ratio, and convert back to the desired units of mass, volume or particles.

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Mass-Volume Calculations

Calculations involving both mass and volume relationships in chemical reactions, often involving gases.

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Mass-Volume Process

A diagram showing how to calculate the volume of a gas from the mass of another substance in a reaction.

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Study Notes

  • Mole ratios are conversion factors from balanced chemical equations in terms of moles.
  • Mole ratios convert between moles of a given reactant/product and moles of a different reactant/product.
  • Mole ratios are determined from balanced chemical equations.
  • For the ammonia production equation, N2(g) + 3H2(g) → 2NH3(g), mole ratios can be determined.

Mole-Mole Graph

  • The graph displays NH3 moles versus N2 and H2 moles.
  • Coefficients in chemical equations show proportionality between reactants/products.
  • The mole ratio can also be used to compute the ratio between any reactants and/or products.
  • Slope for NH3 vs N2 line is 2 mol NH3 / 1 mol N2.
  • Slope for NH3 vs H2 line is 2 mol NH3 / 3 mol H2.

Mole-Mole Calculations

  • Mole ratios facilitate mole-mole conversions between reactants/products.
  • For a given number of moles (G), the mole ratio calculates the moles of the wanted substance (W).
  • Choose the right mole ratio ensuring the moles of the wanted substance are in the numerator.
  • To apply the mole-mole flowchart multiply the moles given by the right mole ratio.

Applying the Mole-Mole Flowchart

  • To produce 25 mol H2O, the process involves using the balanced equation 2H2 + O2 → 2H2O.
  • Use coefficients to derive mole ratios including H2O and O2.
  • Select the ratio enabling mol H2O cancellation.
  • 25 mol H2O x (1 mol O2 / 2 mol H2O) = 12.5 mol O2

Calculating Moles of a Product

  • To analyze, list knowns and unknowns, then solve
  • For the balanced chemical equation for the formation of ammonia.
  • You must cancel mol N2 in the known.
  • Multiply the given mol N2 by the mole ration in order to find the moles of NH3, as the final step.
  • As a result, if 0.60 mol of nitrogen reacts with hydrogen, 1.2 mol of ammonia is produced.

Calculating the Mass of Product

  • The mass-mass calculation converts mass from one reactant/product to another.
  • First, convert the mass of the given component to moles using molar mass.
  • Then, use the mole ratio to find the number of moles in the wanted component.
  • Finally, convert moles of the wanted component into mass using its molar mass.
  • Mass ratio for ammonia reaction is approximately 1.21 NH3:1 N2.

Calculating Volume of a Product

  • Volume-volume calculation convert between volumes of reactants/products.
  • Only gases at STP (standard temperature and pressure) can use this specific volume-volume calculations.
  • Convert the volume of the known component into moles with molar volume, this is the first stpe.
  • Then, use the mole ration in order to determine what are the moles of the component you want to find.
  • To finish, convert moles of the component you the molar volume.

A Roadmap for Solving Stoichiometric Problems

  • Mass measurement is easiest for solids/liquids.
  • Volume measurement is easiest for gases.
  • Mass-volume calculations apply to both combinations of solids and gases.

Limiting Ingredients

  • In recipes, insufficient ingredient amounts limit product formed from the limiting ingredient.

Limiting and Excess Reagents

  • The limiting reagent in chemical equations restricts product amount.
  • The reaction ceases upon depletion of this reagent, leaving other reactants as excess reagents.
  • Balanced chemical equation: N₂(g) + 3H2(g) → 2NH3(g)
  • Any reactant not fully used is the excess reagent.

Mass of Products and Reactants

  • Quantities in stoichiometric problems need conversion to moles.
  • Mole ratio application determines the limiting reagent using the mass to moles conversion.
  • The limiting reagent is used next to determine the final mass of products or reactants.

Percent Yield

  • Percent yield compares actual yield to theoretical yield of a reaction.
  • Actual yield: product amount from the reaction.
  • Theoretical yield: maximum product amount from calculation.
  • Percent Yield = (actual yield / theoretical yield) x 100

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Learn about mole ratios as conversion factors derived from balanced chemical equations. Explore mole-mole graphs and calculations to understand the quantitative relationships in chemical reactions. Understand how coefficients in equations indicate proportionality between reactants and products and how to perform mole-mole conversions.

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