Chemistry Unit 1 Recap - Problem Solving
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What is the frequency of radiation if its wavelength is 5.80 x $10^{-7}$ m? The value of λ = _______.

5.80 x $10^{-7}$ m

What is the frequency of radiation if its wavelength is 5.80 x $10^{-7}$ m? the unknown/what you are solving for: _______.

Frequency

What is the frequency of radiation if its wavelength is 5.80 x $10^{-7}$ m? The symbol for the unknown is _______.

$ν$

What is the frequency of radiation if its wavelength is 5.80 x $10^{-7}$ m? The equation you will use to solve the problem is _______.

<p>$c = λν$</p> Signup and view all the answers

What is the frequency of radiation if its wavelength is 5.80 x $10^{-7}$ m? Any constant you will use, what is it?

<p>The speed of light, c = 3.00 x $10^8$ m/s</p> Signup and view all the answers

What is the frequency of radiation if its wavelength is 5.80 x $10^{-7}$ m? The value of the constant is _______.

<p>3.00 x $10^8$ m/s</p> Signup and view all the answers

What is the frequency of radiation if its wavelength is 5.80 x $10^{-7}$ m? Solve the problem (show steps).

<p>$ν = c/λ = (3.00 x 10^8 m/s) / (5.80 x 10^{-7} m) = 5.17 x 10^{14} Hz$</p> Signup and view all the answers

What is the energy of light if its wavelength is 4.25 x $10^{-7}$m? The value of λ = _______.

<p>4.25 x $10^{-7}$m</p> Signup and view all the answers

What is the energy of light if its wavelength is 4.25 x $10^{-7}$m? The unknown (what you are solving for) is _______.

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

What is the energy of light if its wavelength is 4.25 x $10^{-7}$m? The symbol for the unknown is _______.

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

What is the energy of light if its wavelength is 4.25 x $10^{-7}$m? The equation you will use to solve problem is _______.

<p>$E = hc/λ$</p> Signup and view all the answers

What is the energy of light if its wavelength is 4.25 x $10^{-7}$m? Any constants you will use, what are they?

<p>Planck's constant (h) and the speed of light (c)</p> Signup and view all the answers

What is the energy of light if its wavelength is 4.25 x $10^{-7}$m? What are the values for the constants?

<p>h = 6.626 x $10^{-34}$ J·s and c = 3.00 x $10^8$ m/s</p> Signup and view all the answers

What is the energy of light if its wavelength is 4.25 x $10^{-7}$m? Solve the problem (show steps).

<p>$E = (6.626 x 10^{-34} J⋅s * 3.00 x 10^8 m/s) / (4.25 x 10^{-7} m) = 4.67 x 10^{-19} J$</p> Signup and view all the answers

What is the frequency of light if its energy is 4.25 x $10^{-19}$ J? The value of energy = _______ and the symbol for energy = _______

<p>4.25 x $10^{-19}$ J, E</p> Signup and view all the answers

What is the frequency of light if its energy is 4.25 x $10^{-19}$ J? The unknown (what you are solving for) is _______.

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

What is the frequency of light if its energy is 4.25 x $10^{-19}$ J? The symbol for the unknown is _______.

<p>$ν$</p> Signup and view all the answers

What is the frequency of light if its energy is 4.25 x $10^{-19}$ J? The equation you will use to solve the problem is _______.

<p>$E = hν$</p> Signup and view all the answers

What is the frequency of light if its energy is 4.25 x $10^{-19}$ J? Any constant values you will use, what are they?

<p>Planck's constant h = 6.626 x $10^{-34}$ J.s</p> Signup and view all the answers

What is the frequency of light if its energy is 4.25 x $10^{-19}$ J? Solve the problem (show step by step).

<p>ν = E/h = (4.25 x $10^{-19}$ J) / (6.626 x $10^{-34}$ J.s) = 6.41 x $10^{14}$ Hz.</p> Signup and view all the answers

If the energy of light is 6.15 x $10^{-19}$ J, what would be the wavelength of this light?

<p>$λ = hc/E = (6.626 x 10^{-34} J⋅s * 3.00 x 10^8 m/s) / (6.15 x 10^{-19} J) = 3.23 x 10^{-7} m.$</p> Signup and view all the answers

Why do atoms get smaller as they move left to right in a period?

<p>Due to increased nuclear charge and no added shielding.</p> Signup and view all the answers

Which element in each pair has a larger ionization energy?

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

What is ionization energy? What is first ionization energy (IE₁)?

<p>Ionization energy is the energy required to remove an electron from an atom or ion in the gaseous phase. The first ionization energy (IE₁) is the energy required to remove the first electron.</p> Signup and view all the answers

What is the periodic trend for first ionization energy?

<p>IE increases going from left to right due increased nuclear charge, and decreases down a group due to increased distance of valence electrons from the nucleus and increased shielding by the inner shell electrons.</p> Signup and view all the answers

As each successive element in Group 5 (15) of the periodic table is considered in order of increasing atomic number, the atomic radius?

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

The strength of an atom's attraction for the electrons in a chemical bond is the atom's?

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

Which properties are most common in nonmetals?

<p>High ionization energy and high electronegativity (C)</p> Signup and view all the answers

Which Group 7 (17) element has the least attraction for electrons?

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

As the elements of Group 1 on the Periodic Table are considered in order of increasing atomic radius, the ionization energy of each successive element generally?

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

Compared to the atomic radius of a sodium atom, the atomic radius of a magnesium atom is smaller. The smaller radius is primarily the result of the magnesium atom having?

<p>A larger nuclear charge (D)</p> Signup and view all the answers

Which of these elements has the least attraction for electrons in a chemical bond?

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

The ability of carbon to attract electrons is?

<p>Greater than that of nitrogen, but less than that of oxygen (A)</p> Signup and view all the answers

Signup and view all the answers

What is the frequency of radiation if its wavelength is 5.80 x 10-7 m? The value of $\lambda$ = ______

<p>5.80 x 10-7 m</p> Signup and view all the answers

What is the frequency of radiation if its wavelength is 5.80 x 10-7 m? What variable are we solving for?

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

What is the frequency of radiation if its wavelength is 5.80 x 10-7 m? What is the symbol for the unknown?

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

What is the frequency of radiation if its wavelength is 5.80 x 10-7 m? Which equation you will use to to solve the problem?

<p>c = λν</p> Signup and view all the answers

What is the frequency of radiation if its wavelength is 5.80 x 10-7 m? What constant will you use, what is it?

<p>speed of light</p> Signup and view all the answers

What is the frequency of radiation if its wavelength is 5.80 x 10-7 m? What is value of the constant ______ m/s?

<p>3.00 x 10^8</p> Signup and view all the answers

What is the energy of light if its wavelength is 4.25 x 10-7 m? What is the value of λ?

<p>4.25 x 10-7 m</p> Signup and view all the answers

What is the energy of light if its wavelength is 4.25 x 10-7 m? What variable are we solving for?

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

What is the energy of light if its wavelength is 4.25 x 10-7 m? What is the symbol for the unknown?

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

What is the energy of light if its wavelength is 4.25 x 10-7 m? What equation are we using to solve the problem?

<p>E = hc/λ</p> Signup and view all the answers

What is he frequency of light if its energy is 4.25 x 10-19 J? What is the value of the energy and the common symbol used?

<p>Energy = 4.25 x 10^-19 J and the symbol for energy = E (D)</p> Signup and view all the answers

What is he frequency of light if its energy is 4.25 x 10-19 J? What is the unknown?

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

What is he frequency of light if its energy is 4.25 x 10-19 J? What is the symbol for the unknown?

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

What is the equation we use to solve problems for Frequency (ν)?

<p>E = hν</p> Signup and view all the answers

Calcium has an electron configuration of $1s^22s^22p^63s^23p^64s^2$. Based on this information, how many valence electrons does calcium have?

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

Arrange the following group of elements in order of increasing ionization energy

<p>Be, Me, Sr = Sr, Me, Be Bi, Cs, Ba = Cs, Ba, Bi</p> Signup and view all the answers

What is ionization energy?

<p>The energy required to remove an electron from a gaseous atom or ion.</p> Signup and view all the answers

What is first ionization energy (IE₁)?

<p>The energy required to remove the outermost electron from a neutral atom.</p> Signup and view all the answers

Compared to the atomic radius of a sodium atom, the atomic radius of a magnesium atom is smaller. The smaller radius is primarily the result of the magnesium atom having a greater nuclear charge.

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

Flashcards

Wavelength (λ)

Distance between two successive peaks of a wave.

Frequency (ν)

Number of waves that pass a point in one second.

Speed of Light (c)

The speed at which light travels in a vacuum, 3.00 x 10^8 m/s.

Planck's Constant (h)

Constant used to describe the sizes of quanta, 6.626 x 10^-34 J·s.

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Energy (E)

Energy of a photon, calculated as E = hν.

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Energy-Wavelength Relationship

E = hc/λ relates energy to wavelength.

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Electromagnetic Spectrum

Range of all types of electromagnetic radiation.

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Absorption Energy Level Diagram

Diagram showing electron transitions from lower to higher energy levels.

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Emission Energy Level Diagram

Diagram showing electron transitions from higher to lower energy levels.

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Bohr Diagram

Model that illustrates an atom's electrons and energy levels.

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Electron Configuration

Notation describing the arrangement of electrons in an atom.

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Valence Electrons

Electrons in the outermost shell involved in bonding.

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Isoelectronic

Atoms or ions that have the same electron configuration.

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Atomic Radius

The distance from the nucleus to the outermost electron shell.

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Ionization Energy

Energy required to remove an electron from an atom.

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Electronegativity

The tendency of an atom to attract electrons in a bond.

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Periodic Trends

Patterns in properties of elements across the periodic table.

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Group 1 Element Behavior

Ionization energy decreases as atomic number increases.

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Group 7 Element Behavior

Electronegativity decreases down the group.

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Atomic Radius Trend

Atomic radius generally decreases across a period.

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Chemical Bonding Properties of Nonmetals

Typically high ionization energy and high electronegativity.

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Element Comparison

Comparison of atomic properties determines which is larger or smaller.

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Energy Levels

Defined orbits where electrons reside around the atom.

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Orbital Shapes

The shapes of regions where electrons are likely to be found.

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Transition of Electrons

Movement of electrons between energy levels.

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Periodic Table Groups

Columns in the periodic table representing elements with similar properties.

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Energy Dispersion

Distribution of energy across the different orbitals.

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Frequency Calculation

Use the equation ν = c/λ to find frequency.

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Energy Calculation

Calculate energy using E = hν.

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Wavelength Calculation

Use E = hc/λ to find wavelength from energy.

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Energy Level Diagram Absorption

Shows electron moves from ground to excited state.

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Energy Level Diagram Emission

Shows electron moves from excited to ground state.

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Bohr Model

Represents electron arrangement in atoms.

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Valence Electrons Count

Number of electrons in the outermost shell.

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Isoelectronic Series

Atoms or ions sharing the same electron configuration.

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Periodic Trend of Ionization Energy

Ionization energy increases across a period, decreases down a group.

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Atomic Radius Comparison

Atomic radius decreases with increasing atomic number in a period.

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Group 1 Properties

Ionization energy decreases as atomic number increases.

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Group 7 Properties

Electronegativity decreases down the group.

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Electron Shells

Regions where electrons reside around an atom.

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Nonmetals Properties

High ionization energy and high electronegativity.

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Group 1 Behavior

Atomic radius increases as you move down the group.

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Group 7 Behavior

Elements have higher electronegativity at the top.

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Periodic Table Overview

Arrangement of elements by atomic number and properties.

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Study Notes

Chemistry Unit 1 Recap - Problem Solving

  • Units and Conversions:
    • 1 nm = 1.00 x 10-9 m
    • E = hν
    • c = 3.00 x 108 m/s
    • h = 6.626 x 10-34 J•s
    • E = hc/λ
    • c = λν

Problem 1: Frequency from Wavelength

  • Given: Wavelength (λ) = 5.80 x 10-7 m
  • Unknown: Frequency (ν)
  • Equation: c = λν (or ν = c/λ)
  • Constants: c = 3.00 x 108 m/s
  • Calculations: Solve for ν using the given wavelength and the speed of light constant

Problem 2: Energy from Wavelength

  • Given: Wavelength (λ) = 4.25 x 10-7 m
  • Unknown: Energy (E)
  • Equation: E = hc/λ; relating E (energy to frequency) ν = c/λ (Relating frequency v to wavelength)
  • Constants: h = 6.626 x 10-34 J•s, c = 3.00 x 108 m/s
  • Calculations: Solve for E using the given wavelength, Planck's constant, and the speed of light.

Problem 3: Frequency from Energy

  • Given: Energy (E) = 4.25 x 10-19 J
  • Unknown: Frequency (ν)
  • Equation: E = hν or ν = E/h.
  • Constants: h = 6.626 x 10-34 J•s
  • Calculations: Solve for ν using the given energy and Planck's constant.

Problem 4: Wavelength from Energy

  • Given: Energy (E) = 6.15 x 10-19 J
  • Unknown: Wavelength (λ)
  • Equation: E = hc/λ
  • Constants: h = 6.626 x 10-34 J•s, c = 3.00 x 108 m/s
  • Calculations: Solve for λ using the given energy, Planck's constant, and the speed of light.

Energy Level Diagrams and Bohr Models

  • General Information: Diagrams illustrate electron transitions between energy levels within atoms.
  • Labels: Energy axis, ground state, excited state, light (photon), electron transition
  • Transitions: Absorption (gaining energy) or emission (losing energy)

Bohr Diagrams (for Sulfur)

  • Number of Electrons: Sulfur has 16 electrons
  • Energy Levels: Draw concentric circles to represent the principle energy levels.
  • Valence Electrons: Show 6 valence electrons in the outermost energy level.

Orbital Diagrams (pz, dx2 and dxy)

  • Axes: Label axes appropriately for the orbital diagrams. (x, y, z axes for example)

Quantum Numbers (n, l, ml)

  • n: Principal quantum number (energy level)
  • l: Angular momentum quantum number (shape of orbitals)
  • ml: Magnetic quantum number (orientation of orbitals)
  • Specific Values: Values depend on the principle quantum number given.

Electron Configuration and Orbital Diagrams

  • Electron Configuration: Arrangement of electrons in orbitals around the nucleus (Example: 1s22s22p6).
  • Orbital Diagrams: Use boxes or arrows to represent orbitals and electrons.
  • Element Example (Carbon): Configurations/ diagrams (should be completed for element in prompt).

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Test your understanding of fundamental concepts in Chemistry Unit 1 with this problem-solving quiz. Engage with calculations involving wavelength, frequency, and energy using key equations. Challenge yourself and enhance your comprehension of these foundational topics.

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