The Mole Concept and Molar Mass in Chemistry
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Questions and Answers

What is the molar mass of a compound composed of two nitrogen atoms and four oxygen atoms ($N_2O_4$)? (Molar mass of N = 14.01 g/mol, O = 16.00 g/mol)

  • 30.01 g/mol
  • 46.01 g/mol
  • 92.02 g/mol (correct)
  • 76.01 g/mol

How many grams of NaCl (molar mass = 58.44 g/mol) are needed to have 2.5 moles?

  • 116.88 grams
  • 146.10 grams (correct)
  • 23.38 grams
  • 29.22 grams

How many moles are present in 11.2 liters of $O_2$ gas at STP?

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

If a reaction requires 0.25 moles of $H_2SO_4$ (molar mass = 98.08 g/mol), what mass of $H_2SO_4$ is needed?

<p>24.52 grams (A)</p> Signup and view all the answers

How many molecules are there in 0.75 moles of $H_2O$?

<p>$4.52 \times 10^{23}$ molecules (C)</p> Signup and view all the answers

You have a sample containing $1.2044 \times 10^{24}$ atoms of carbon. How many moles of carbon do you have?

<p>2.0 moles (A)</p> Signup and view all the answers

What volume will 3.0 moles of nitrogen gas ($N_2$) occupy at standard temperature and pressure (STP)?

<p>67.2 L (C)</p> Signup and view all the answers

If you have 44.0 grams of carbon dioxide ($CO_2$), how many moles do you have? (Molar mass of $CO_2$ is 44.0 g/mol)

<p>1.0 mole (B)</p> Signup and view all the answers

A container holds 88 grams of $CO_2$ gas. How many molecules of $CO_2$ are present in the container (Molar mass of $CO_2$ = 44 g/mol)?

<p>$2.4088 \times 10^{24}$ molecules (A)</p> Signup and view all the answers

What volume is occupied by 0.5 moles of hydrogen gas ($H_2$) at STP?

<p>11.2 L (B)</p> Signup and view all the answers

Flashcards

What is a mole?

The amount of a substance containing exactly 6.02214076 × 10^23 entities.

What is Avogadro's Number?

6.02214076 × 10^23, the number of entities (atoms, molecules, etc.) in one mole.

What is molar mass?

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

How to find a compound's molar mass?

The sum of the molar masses of all atoms in the compound's chemical formula.

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Moles to grams equation

Multiply moles by molar mass: grams = moles × molar mass.

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Grams to moles equation

Divide grams by molar mass: moles = grams / molar mass.

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Moles to particles equation

Multiply moles by Avogadro's number: number of particles = moles × Avogadro's number.

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Particles to moles equation

Divide the number of particles by Avogadro's number: moles = number of particles / Avogadro's number.

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What is the molar volume of gas at STP?

At STP, one mole of any ideal gas occupies approximately 22.4 liters.

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What is stoichiometry?

Deals with the quantitative relationships between reactants and products in chemical reactions.

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Study Notes

  • The mole serves as a crucial unit in chemistry for expressing the quantity of a chemical substance.
  • A mole is defined as precisely 6.02214076 × 10^23 entities, which can be atoms, molecules, ions, or other specified particles.
  • Avogadro's number, commonly represented as NA, is the term for this value.
  • The mole concept creates a connection between the atomic and macroscopic scales, enabling chemists to handle measurable amounts of substances while accounting for the number of atoms or molecules involved.

Determining Molar Mass

  • Molar mass refers to the mass of one mole of a substance.
  • For elements, the molar mass has the same numerical value as the element's atomic mass, expressed in atomic mass units (amu).
  • The periodic table provides this value.
  • The units for molar mass are grams per mole (g/mol).
  • For compounds, the molar mass involves summing the molar masses of each atom in the chemical formula.
  • As an example, water (H2O) has a molar mass of roughly (2 × 1.008 g/mol for H) + (1 × 16.00 g/mol for O) = 18.016 g/mol.

Mole Conversions

  • Mole conversions commonly involve conversions between moles and grams, moles and the number of particles, and moles and volume, specifically for gases.
  • Molar mass and Avogadro's number act as conversion factors in these processes.

Converting Moles to Grams

  • Multiply the number of moles by the substance's molar mass to convert moles to grams:
  • grams = moles × molar mass

Converting Grams to Moles

  • Divide the mass in grams by the substance's molar mass to convert grams to moles:
  • moles = grams / molar mass

Converting Moles to Number of Particles

  • To convert moles to the number of particles, multiply the number of moles by Avogadro's number:
  • number of particles = moles × Avogadro's number

Converting Number of Particles to Moles

  • Divide the number of particles by Avogadro's number to convert the number of particles to moles:
  • moles = number of particles / Avogadro's number

Molar Volume of Gases

  • One mole of an ideal gas occupies about 22.4 liters at standard temperature and pressure (STP, which is 0 °C and 1 atm).
  • At STP, this volume is known as the molar volume of a gas.
  • Multiply the number of moles by 22.4 L/mol to convert moles of a gas at STP to volume:
  • volume = moles × 22.4 L/mol (at STP)
  • Divide the volume by 22.4 L/mol to convert the volume of a gas at STP to moles:
  • moles = volume / 22.4 L/mol (at STP)

Applications of Moles and Molar Conversions

  • Moles and molar conversions are crucial for stoichiometry, which studies the quantitative connections between reactants and products in chemical reactions.
  • They facilitate calculations to determine the amounts of reactants needed to yield a particular amount of product, or the amount of product resulting from a given amount of reactant.
  • Molar conversions play a vital role in preparing solutions of specific concentrations.
  • Molarity (M), is used to express the concentration of a solution, and is defined as the number of moles of solute per liter of solution.

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Understand the mole concept, a crucial unit in chemistry for expressing the amount of a chemical substance. Learn how one mole is defined by Avogadro's number. Explore how to determine molar mass for both elements and compounds using the periodic table.

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