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 Gas Идеал газ
Pressure Қысым
Volume Көлем
Temperature Температура
Moles Мольдер
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?