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The magnitude of the charge on an electron is approximately: A) 1023 ext C B) 10⁻²¹ ext C C) 1019 ext C D) 10⁻¹⁹ ext C

Physics

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Answer

D

Step-by-step solution

8 steps

Here are the detailed solutions for the questions:

Part 1· 2 steps

The magnitude of the charge on an electron is approximately

  1. Recall the standard value for the elementary charge.

    The magnitude of the charge on a single electron is a fundamental physical constant, known as the elementary charge. Its value is approximately 1.602×10−191.602 \times 10^{-19} Coulombs (C).

  2. Compare this value with the given options.

    We are looking for an approximation, specifically the correct order of magnitude.

    • 1023 C10^{23} \text{ C} is incorrect.
    • 10−21 C10^{-21} \text{ C} is incorrect.
    • 1019 C10^{19} \text{ C} is incorrect.
    • 10−19 C10^{-19} \text{ C} matches the correct order of magnitude.

    The final answer is D) 10−19 C\boxed{\text{D) } 10^{-19} \text{ C}}.


Part 2· 4 steps

The total negative charge on the electrons in 1 mol of helium (atomic number 2, molar mass 4) is

  1. Determine the number of electrons per helium atom.

    Helium (He) has an atomic number of 2. In a neutral atom, the number of electrons is equal to the atomic number. Therefore, each helium atom has 2 electrons.

  2. Calculate the total number of electrons in 1 mol of helium.

    One mole of any substance contains Avogadro's number (NAN_A) of particles.

    NA=6.022×1023 atoms/molN_A = 6.022 \times 10^{23} \text{ atoms/mol}

    Since each helium atom has 2 electrons, the total number of electrons in 1 mol of helium is:

    Total electrons=(Number of electrons per atom)×NA\text{Total electrons} = (\text{Number of electrons per atom}) \times N_A Total electrons=2×(6.022×1023)\text{Total electrons} = 2 \times (6.022 \times 10^{23}) Total electrons=1.2044×1024 electrons\text{Total electrons} = 1.2044 \times 10^{24} \text{ electrons}
  3. Calculate the total negative charge.

    The charge of a single electron (ee) is approximately 1.602×10−19 C1.602 \times 10^{-19} \text{ C}.
    The total negative charge is the product of the total number of electrons and the charge of one electron:

    Total charge=(Total electrons)×e\text{Total charge} = (\text{Total electrons}) \times e Total charge=(1.2044×1024)×(1.602×10−19 C)\text{Total charge} = (1.2044 \times 10^{24}) \times (1.602 \times 10^{-19} \text{ C}) Total charge≈1.929×105 C\text{Total charge} \approx 1.929 \times 10^5 \text{ C}
  4. Compare the calculated value with the given options.

    • A) 4.8×104 C4.8 \times 10^4 \text{ C}
    • B) 9.6×104 C9.6 \times 10^4 \text{ C}
    • C) 1.9×105 C1.9 \times 10^5 \text{ C}
    • D) 3.8×105 C3.8 \times 10^5 \text{ C}

    The calculated value 1.929×105 C1.929 \times 10^5 \text{ C} is closest to 1.9×105 C1.9 \times 10^5 \text{ C}.

    The final answer is C) 1.9×105 C\boxed{\text{C) } 1.9 \times 10^5 \text{ C}}.


Part 3· 2 steps

An electrical insulator is a material

  1. Understand the definition of an electrical insulator.

    An electrical insulator is a material that resists the flow of electric current. This means that electrons within the material are not free to move easily from atom to atom.

  2. Evaluate each option based on this definition.

    • A) containing no electrons: All matter contains electrons. This statement is incorrect.
    • B) through which electrons do not flow easily: This accurately describes an electrical insulator. The electrons are tightly bound to their atoms and require a large amount of energy to become mobile.
    • C) cannot be a pure chemical element: Many pure chemical elements, such as sulfur or phosphorus, are excellent insulators. Diamond (a form of carbon) is also an insulator. This statement is incorrect.
    • D) must be a crystal: Insulators can be amorphous (non-crystalline) solids, such as glass or rubber. This statement is incorrect.

    The final answer is B) through which electrons do not flow easily\boxed{\text{B) through which electrons do not flow easily}}.

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