Formula Mass, Moles and Avogadro's Number
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Questions and Answers

If you have $1.2044 \times 10^{24}$ atoms of copper (Cu), how many moles of copper do you have?

  • 0.5 mol Cu
  • 8.0 mol Cu
  • 2.0 mol Cu (correct)
  • 4.0 mol Cu

What conversion factor is used to convert grams of a compound to moles?

  • Molar Mass Conversion Factor (correct)
  • Avogadro's Number
  • Density Conversion Factor
  • Ideal Gas Constant

What is the molar mass of water ($H_2O$)?

  • 19.02 g/mol
  • 16.00 g/mol
  • 18.02 g/mol (correct)
  • 17.01 g/mol

How many grams of carbon are present in 0.25 moles of carbon dioxide ($CO_2$)?

<p>3.00 g (A)</p> Signup and view all the answers

If a sample of a compound weighs 80.0 g and contains 0.5 moles, what is the molar mass of the compound?

<p>160 g/mol (D)</p> Signup and view all the answers

What is the molecular mass of water (H₂O)? (Atomic mass of H ≈ 1.01 amu, O ≈ 16.00 amu)

<p>18.02 amu (B)</p> Signup and view all the answers

Which of the following statements accurately describes the relationship between a mole and Avogadro's number?

<p>A mole is the amount of substance that contains Avogadro's number of particles. (C)</p> Signup and view all the answers

If a sample contains 2 moles of NaCl, how many individual Na⁺ ions are present?

<p>1.2044 x 10²⁴ Na⁺ ions (D)</p> Signup and view all the answers

What conversion factor is used to convert from number of atoms to moles?

<p>1 mol / $6.022 \times 10^{23}$ atoms (B)</p> Signup and view all the answers

What is the formula mass of $Al_2(SO_4)_3$? (Atomic mass: Al = 27 amu, S = 32 amu, O = 16 amu)

<p>342 amu (C)</p> Signup and view all the answers

If a chemist needs 0.5 moles of carbon dioxide ($CO_2$) for an experiment, how many molecules of $CO_2$ do they need to measure out?

<p>3.011 × 10²³ molecules (D)</p> Signup and view all the answers

A sample of iron (Fe) contains $1.50 imes 10^{24}$ atoms. How many moles of iron are in this sample?

<p>2.49 moles (B)</p> Signup and view all the answers

Which quantity is most directly measured using a mass spectrometer?

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

If you have 3 moles of $C_6H_{12}O_6$, how many moles of carbon do you have?

<p>18 moles (A)</p> Signup and view all the answers

How many grams of $C_6H_{10}S$ are present in 3.54 mol?

<p>404.3 g (D)</p> Signup and view all the answers

Consider a sample containing 0.250 moles of aspirin, $C_9H_8O_4$. What is the total number of moles of hydrogen in the sample?

<p>2.00 moles (A)</p> Signup and view all the answers

A chemist needs 0.75 moles of oxygen atoms for a reaction. How many moles of $C_9H_8O_4$ should the chemist use?

<p>0.1875 moles (A)</p> Signup and view all the answers

Which conversion factor correctly relates moles of glucose ($C_6H_{12}O_6$) to moles of hydrogen?

<p>$\frac{12 \text{ mol H}}{1 \text{ mol } C_6H_{12}O_6}$ (C)</p> Signup and view all the answers

If a sample of glucose ($C_6H_{12}O_6$) contains 0.5 moles of carbon, how many moles of glucose are present?

<p>1/6 moles (A)</p> Signup and view all the answers

A reaction requires 10.0 g of $C_6H_{10}S$. How many moles of the compound are needed?

<p>0.0876 mol (A)</p> Signup and view all the answers

Given 2 moles of $C_6H_{12}O_6$, how many moles of oxygen are present?

<p>12 (B)</p> Signup and view all the answers

What is the purpose of using Avogadro's number in the calculation of the number of atoms of an element in a given mass of a compound?

<p>To convert the moles of the compound into the number of molecules of the compound. (D)</p> Signup and view all the answers

In the bee sting example, what conversion factor relates the number of molecules of isopentyl acetate ($C_7H_{14}O_2$) to the number of carbon atoms?

<p>1 molecule $C_7H_{14}O_2$ = 7 atoms C (D)</p> Signup and view all the answers

If a compound $X_2Y_3$ has a molar mass of 100 g/mol, and you have 50g of it, which calculation correctly starts the process of finding the number of atoms of element X?

<p><code>50 g X2Y3 * (1 mol / 100 g)</code> (B)</p> Signup and view all the answers

Why is it essential to determine the molar mass of a compound when calculating the number of atoms of a specific element within a given mass of that compound?

<p>The molar mass serves as a bridge to convert the mass of the compound to moles, which can then be related to the number of molecules. (C)</p> Signup and view all the answers

Consider a compound with the formula $A_2B_3$. If one mole of this compound contains $x$ atoms of element A, how many atoms of element A are present in 0.5 moles of the compound?

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

A scientist discovers a new compound with the formula $X_4Y_2Z$. After determining the molar mass of the compound to be 200 g/mol, the scientist obtains a sample of 10g. Which setup will lead to the correct calculation of the number of atoms of X in the 10g sample?

<p>$10g imes \frac{1 mol}{200g} imes \frac{6.022 imes 10^{23} molecules}{1 mol} imes \frac{4 atoms X}{1 molecule}$ (C)</p> Signup and view all the answers

When calculating the number of atoms of an element in a compound, what does the 'subscript factor' refer to?

<p>The number of atoms of that element present in one molecule of the compound. (A)</p> Signup and view all the answers

You have two compounds: Compound A ($X_2Y$) and Compound B ($XY_3$). Both have the same mass. Which additional piece of information is most crucial to determine which compound contains more atoms of element Y?

<p>The molar mass of each compound. (D)</p> Signup and view all the answers

Flashcards

Molar mass

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

Avogadro’s number

The number of molecules in one mole, approximately 6.022 × 10²³.

Subscript factor

Indicates the number of atoms of an element in a compound.

Atoms of Carbon in C7H14O2

The number of carbon atoms in one molecule of isopentyl acetate, which is 7.

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Calculating atoms from mass

Use the formula: (mass of compound / molar mass) × Avogadro's number × subscript.

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Isopentyl acetate

A compound with the formula C7H14O2, known for its scent in bee stings.

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Mass of a compound

The total weight of a given substance in grams.

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Number of atoms from grams

Calculate using mass of compound and its molar mass and Avogadro's number.

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Molar Mass Conversion

The mass of one mole of a substance, measured in grams per mole.

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Mole Ratio

The ratio of atoms in a compound related to their quantities in a mole.

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Glucose Formula

C6H12O6, representing 6 C, 12 H, and 6 O atoms.

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Converting Moles of Aspirin

0.150 moles of C9H8O4 yields 0.600 moles of O.

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From Mass to Moles

To convert mass in grams to moles, divide by molar mass.

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Atoms from Moles

To find number of atoms from moles, multiply by Avogadro’s number.

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Formula Mass

The average mass of one formula unit of an ionic compound in amu.

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Molecular Mass

The average mass of one molecule of a molecular compound in amu.

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Avogadro's Number

The number of particles in one mole, approx. 6.022 x 10^23.

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Mole

A unit measuring 6.022 x 10^23 particles of a substance.

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Converting Moles

Use Avogadro’s number to convert moles to number of particles.

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Mole to Particles

1 mole = 6.022 x 10^23 particles (atoms, molecules, ions).

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Sample Calculation

To find moles, divide the number of atoms by Avogadro's number.

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Atomic Mass Addition

Calculate formula/molecular mass by summing atomic masses from the periodic table.

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Molar Mass of CO2

Calculated as 12.011 g/mol (C) + 2×16.00 g/mol (O) = 44.01 g/mol.

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Mass to Moles Conversion

Use molar mass as a conversion factor between mass (grams) and moles.

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Calculating Molar Mass

Add atomic masses of elements multiplied by their counts in the formula.

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Study Notes

Formula Mass and Molecular Mass

  • Formula mass is the average mass of one formula unit of an ionic compound, measured in atomic mass units (amu).
  • Molecular mass (also called molecular weight) is the average mass of one molecule of a molecular compound, measured in amu.
  • Formula mass and molecular mass are calculated by adding the atomic masses of all atoms in the formula, according to the periodic table.

Avogadro's Number

  • Avogadro's number (NA) is the number of atoms in precisely 12 grams of pure ¹²C.
  • NA = 6.02214076 × 1023
  • Used as a conversion factor between moles and the number of particles (atoms, molecules, or ions).
  • In calculations, a simplified value of 6.022 × 1023 is often used.

Moles

  • A mole is the amount of material containing 6.022 × 1023 particles (atoms, molecules, or ions).
  • A mole is used as the SI unit for the amount of a substance.

Converting Between Moles and Number of Particles

  • Avogadro's number is used as a conversion factor to convert between moles and the number of particles.
  • For example: 1 mole of carbon (C) contains 6.022 × 1023 atoms of carbon.

Molar Mass

  • Molar mass is the mass of one mole of a compound or an element.
  • Expressed in grams per mole (g/mol).
  • For an element, molar mass is numerically equal to its atomic mass.
  • For a compound, it's the sum of the molar masses of all elements in the formula.

Converting Between Mass and Moles

  • Molar mass serves as a conversion factor between mass (in grams) and moles.
  • Used to convert between grams of a substance and moles of a substance, and vice-versa.

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Description

Understanding formula mass, molecular mass, and their calculation using atomic masses from the periodic table. Explore Avogadro's number and its role as a conversion factor between moles and the number of particles. Learn about the mole as the SI unit for the amount of a substance.

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