Stoichiometry: Mole Ratios and Calculations

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Questions and Answers

Stoichiometry is derived from Greek words. Stoicheion means what?

  • Measure
  • Molecule
  • Atom
  • Element (correct)

A balanced chemical equation shows that the mass of the reactants is always equal to the mass of the products.

True (A)

In the balanced chemical equation $N_2 + 3H_2 \rightarrow 2NH_3$, what is the mole ratio of $H_2$ to $NH_3$?

3:2

In stoichiometry, the coefficients in a balanced equation represent the smallest whole number _______ between reactants and products.

<p>mole ratio</p> Signup and view all the answers

For the reaction $2K + 2H_2O \rightarrow 2KOH + H_2$, if you have 4 moles of K, how many moles of $H_2$ will be produced?

<p>2 moles (D)</p> Signup and view all the answers

To convert from grams to moles, you need to use the mole ratio.

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

What three steps are needed for mass-mass calculations?

<ol> <li>Convert grams to moles using molar mass. 2. Convert moles of known to moles of unknown using mole ratio. 3. Convert moles of unknown to grams using molar mass</li> </ol> Signup and view all the answers

The only time the number of moles is different than one is when you are using the _______.

<p>mole ratio</p> Signup and view all the answers

For the reaction $2Al + 6HCl \rightarrow 2AlCl_3 + 3H_2$, if you have 0.2 moles of Al, how many moles of $H_2$ will be produced?

<p>0.3 moles (A)</p> Signup and view all the answers

The coefficients in a balanced chemical equation represent the largest whole number ratio between reactants and products.

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

In the reaction $2Li(ClO_3) \rightarrow 2LiCl + 3O_2$, what is the mole ratio of $Li(ClO_3)$ to $O_2$?

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

In mass-mass calculations, after converting grams of a known substance to moles, the next step is to convert moles of known to moles of ________.

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

For the reaction $3AgCl + Al \rightarrow 3Ag + AlCl_3$, if you start with 54 grams of Al, what is the FIRST step in finding the mass of $Ag$ produced?

<p>Divide 54 grams by the molar mass of Al (C)</p> Signup and view all the answers

Stoichiometry is the measure of atoms.

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

Match the balanced equation interpretation to its type:

<p>N2 + 3H2 --&gt; 2NH3 = molecules 28.02g + 6.06g = 34.08g = mass 1 mol N2 + 3 mol H2 --&gt; 2 mol NH3 = moles</p> Signup and view all the answers

Flashcards

Stoichiometry

The study of the quantitative relationships or ratios between two or more substances undergoing a physical change or chemical reaction.

Mole Ratio

The relative number of moles of reactants and products required for a reaction to occur.

Mass-Mass Calculations

The steps to solve this calculation are: convert grams to moles, convert moles of known to moles of unknown, finally convert moles of unknown to grams.

Molecular Interpretation

A balanced chemical equation can be interpreted in terms of molecules; the coefficients indicate the relative number of molecules of each substance involved in the reaction.

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Mass Conservation

A balanced chemical equation where the mass of reactants equals to the mass of products.

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Mole Interpretation

A balanced chemical equation where the coefficients represent the number of moles of each substance.

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Mole-Mole Calculations

Calculations using mole ratios from balanced equations to convert between moles of reactants and products.

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Study Notes

Stoichiometry: Mole Ratios and Calculations

  • Stoichiometry involves using mole ratios in mole-mole and mass-mass calculations.
  • It's derived from the Greek words "stoicheion," meaning "element," and "metron," meaning "measure."
  • Stoichiometry is defined as the measurement of elements.

Learning Objectives

  • Determine the number of moles of a substance produced or consumed using the mole ratio.
  • Describe interpretations of balanced equations.
  • Review balancing equations.
  • Determine an amount of a substance involved in a chemical reaction.

Interpreting Balanced Chemical Equations

  • Balanced chemical equations can be interpreted in terms of molecules, mass, and moles.
  • An example reaction is: 1N2(g) + 3H2(g) -> 2NH3(g)
  • In terms of mass, 28.02g of N2 reacts with 6.06g of H2 to produce 34.08g of NH3; the mass of reactants equals the mass of products.
  • In terms of moles, 1 mol N2 reacts with 3 mol H2 to produce 2 mol NH3.

Mole-Mole Calculations

  • Coefficients in balanced equations represent the smallest whole number mole ratio between reactants and products.
  • Example mole ratios for the 1N2(g) + 3H2(g) -> 2NH3(g) reaction include: (1 mol N2 / 2 mol NH3) and (3 mol H2 / 1 mol N2) and (2 mol NH3 / 3 mol H2)

Example 1

  • If 3.86 moles of potassium (K) reacts with water, the balanced equation is 2K + 2H(OH) -> 2K(OH) + H2
  • To find the moles of hydrogen produced: (3.86 mol K / 1) * (1 mol H2 / 2 mol K) = 1.93 mol H2

Example 2

  • To determine how many moles of aluminum will react with 0.512 moles of hydrochloric acid (HCl), use the balanced equation: 2 Al + 6 HCl -> 2 AlCl3 + 3 H2
  • Calculation: (0.512 mol HCl / 1) * (2 mol Al / 6 mol HCl) = 0.171 mol Al

Mass-Mass Calculations

  • Convert grams to moles using the molar mass of the known value.
  • Convert moles of known to moles of unknown using the mole ratio.
  • Convert moles of unknown to grams using the molar mass of the unknown

Example 1

  • To calculate the mass of silver chloride (AgCl) that reacts with 15.0 grams of aluminum (Al), use the balanced equation: 3 AgCl + Al -> 3 Ag + AlCl3
  • Calculation: (15.0 g Al / 1) * (1 mol Al / 26.98 g Al) * (3 mol AgCl / 1 mol Al) * (143.32 g AgCl / 1 mol AgCl) = 239 g AgCl

Example 2

  • To calculate the mass of oxygen gas (O2) produced in the decomposition of 37.2 g of lithium chlorate (Li(ClO3)), use the balanced equation: 2 Li(ClO3) -> 2 LiCl + 3 O2
  • Calculation:(37.2 g Li(ClO3) / 1) * (1 mol Li(ClO3) / 90.39 g Li(ClO3)) * (3 mol O2 / 2 mol Li(ClO3)) * (32 g O2 / 1 mol O2) = 19.8 g O2

Important Points

  • Mass-mass calculations involve calculating the mass for two different substances.
  • Molar mass always equals one mole.
  • The number of moles is different than one only when using the mole ratio.

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