General physics
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    Learning Objectives:

    Learning Objectives

    • Understand the key assumptions of the ideal gas model.
    • Learn how to apply the ideal gas law to solve problems.
    • Explore the relationships between pressure, volume, temperature, and the number of molecules in an ideal gas.
    Language Goals:

    Language Goals

    • Familiarize with scientific terms related to gases and their behavior.
    • Practice explaining gas laws and their applications in English.
    • Improve comprehension of texts about physical behavior of gases.
    Terminology:

    Terminology

    Term (English)Translation (Kazakh)
    Ideal GasИдеал газ
    PressureҚысым
    VolumeКөлем
    TemperatureТемпература
    MolesМольдер
    Glossary:

    Glossary

    Ideal Gas: A hypothetical gas that perfectly follows the kinetic molecular theory.

    Перевод
    Кинетикалық молекулярлық теорияға толық сәйкес келетін гипотетикалық газ.

    Pressure: The force exerted by gas particles per unit area on the walls of their container.

    Перевод
    Газ бөлшектерінің контейнер қабырғаларына бірлік ауданға әсер ететін күші.

    Volume: The amount of space occupied by a gas.

    Перевод
    Газ алып жатқан кеңістік мөлшері.

    Temperature: A measure of the average kinetic energy of gas particles.

    Перевод
    Газ бөлшектерінің орташа кинетикалық энергиясының өлшемі.

    Moles: A unit to measure the number of particles in a substance.

    Перевод
    Заттағы бөлшектер санын өлшейтін бірлік.
    Theory:

    Theory

    The *ideal gas law* is a fundamental equation that relates pressure (-pressure-), volume (-volume-), temperature (-temperature-), and the amount of gas in moles (-moles-). It is expressed as:

    PV = nRT

    Here, *P* is pressure, *V* is volume, *n* is the number of moles, *R* is the universal gas constant (8.31 J/mol·K), and *T* is the temperature in Kelvin.

    The assumptions of the ideal gas model include:

    • Gas particles do not attract or repel each other.
    • Collisions between particles are elastic.
    • The volume of the particles themselves is negligible.

    These assumptions help simplify the behavior of real gases for calculations.

    Exercises:

    Exercises

    1. Convert a pressure of 2 atm to pascals.
    2. Solution
      2 atm = 2 × 101,325 Pa = 202,650 Pa.
    3. Calculate the volume of 1 mole of an ideal gas at STP (standard temperature and pressure: 273 K and 1 atm).
    4. Solution
      Using PV = nRT:
      V = nRT/P = (1)(8.31)(273)/(101,325) = 22.4 L.
    Video Tutorial:

    Video Tutorial


    Examples:

    Examples

    Example: A gas has a volume of 10 L at a pressure of 2 atm and a temperature of 300 K. Calculate the number of moles of the gas.

    Ideal gas law example

    Solution
    Using PV = nRT:
    n = PV/RT = (2 × 101,325)(10 × 10⁻³)/(8.31)(300) ≈ 0.81 moles.
    Investigation Task:

    Investigation Task

    Use the simulation below to explore the relationships between pressure, volume, and temperature of a gas:


    Answer
    As temperature increases, the pressure increases if the volume is constant. When volume increases, pressure decreases if temperature is constant.
    Collaborative Activity:

    Collaborative Activity

    In groups, discuss real-world applications of the ideal gas law, such as in weather forecasting or vehicle engines. Share your findings with the class.

    Additional Resources:

    Additional Resources

    Visit Save My Exams for more practice questions and resources on ideal gases and gas laws.

    Reflection:

    Reflection

    Reflect on today’s lesson by answering the following:

    • What is the ideal gas law?
    • How does temperature affect gas behavior?
    • What new term or concept did you find most interesting?