Ideal Gas Laws and Assumptions
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Questions and Answers

According to Boyle's Law, what happens to the pressure of a gas if its volume is halved, assuming constant temperature?

  • The pressure is halved.
  • The pressure increases by a factor of four.
  • The pressure doubles. (correct)
  • The pressure remains the same.
  • The SI unit for pressure is the Newton (N).

    False (B)

    What is the standard temperature and pressure (STP) for gases?

    273.15 K and 100 kPa

    Real gases deviate from ideal gas behavior at ______ temperatures and ______ pressures.

    <p>low, high</p> Signup and view all the answers

    Match the following pressure units with their abbreviations:

    <p>Pascal = Pa Atmosphere = atm Millimeters of mercury = mm Hg Bar = bar Pounds per square inch = psi</p> Signup and view all the answers

    The collisions between gas molecules in an ideal gas model are perfectly elastic, meaning no energy is lost from the system.

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

    The ______ of an ideal gas is a constant at a specific temperature and pressure.

    <p>molar volume</p> Signup and view all the answers

    Which of the following is NOT a key assumption of the ideal gas model?

    <p>There are significant intermolecular forces between gas particles. (C)</p> Signup and view all the answers

    Why do real gases deviate from the ideal gas model at low temperatures and high pressures?

    <p>At low temperatures, the intermolecular forces become more significant compared to the kinetic energy of the molecules, causing deviations from the ideal gas behavior. High pressures lead to a reduction in the volume occupied by the gas molecules, making the assumption of negligible molecular volume less valid.</p> Signup and view all the answers

    Match the following characteristics to their corresponding ideal gas model assumption:

    <p>Gas molecules are in continuous random motion = Assumption 1: Molecules of a gas are in constant random motion Collisions between molecules are perfectly elastic = Assumption 2: Collisions between molecules are perfectly elastic Intermolecular forces between gas particles are negligible = Assumption 3: There are no intermolecular forces between gas particles Kinetic energy is directly proportional to Kelvin temperature = Assumption 4: The kinetic energy of the molecules is directly proportional to Kelvin temperature Volume occupied by gas molecules is negligible = Assumption 5: The volume occupied by gas molecules is negligible compared to the volume of the container they occupy</p> Signup and view all the answers

    Give one example of how real gases deviate from the ideal gas model.

    <p>Real gases can condense into liquids at low temperatures, demonstrating that intermolecular forces are not negligible in real gases, unlike in the ideal gas model.</p> Signup and view all the answers

    The ideal gas equation, PV=nRT, describes the relationship between pressure, volume, temperature, and amount of an ideal gas.

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

    Which of the following conditions would make a real gas behave more like an ideal gas?

    <p>High temperature and low pressure (C)</p> Signup and view all the answers

    Flashcards

    Boyle's Law

    At constant temperature, pressure is inversely proportional to volume.

    SI Unit of Pressure

    The standard unit of pressure is Pascal (Pa), equivalent to N/m² or J/m³.

    Standard Temperature and Pressure (STP)

    STP for gases is 273.15 K and 100 kPa.

    Real vs Ideal Gas

    Real gases deviate from ideal behavior at low temperature and high pressure.

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    Intermolecular Forces Impact

    Strong intermolecular forces reduce collisions, altering pressure-volume relationship.

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    Ideal Gas

    A gas consisting of moving particles with negligible volume and no intermolecular forces.

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    Assumptions of Ideal Gas Model

    Key assumptions include random motion, elastic collisions, negligible intermolecular forces, and proportional kinetic energy to temperature.

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    Elastic Collisions

    Collisions between gas molecules where no kinetic energy is lost.

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    No Intermolecular Forces

    The forces between gas particles are negligible compared to their kinetic energy.

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    Kinetic Energy and Temperature

    The kinetic energy of gas molecules is directly proportional to the Kelvin temperature.

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    Molar Volume

    The volume occupied by one mole of an ideal gas at STP is a constant value.

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    Ideal Gas Equation

    The relationship described by PV = nRT, incorporating pressure, volume, temperature, and moles.

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    Real Gases vs Ideal Gases

    Real gases deviate from the ideal gas model at low temperatures and high pressures.

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    Study Notes

    Ideal Gas

    • An ideal gas is composed of particles with negligible volume and no intermolecular forces.
    • All collisions between particles are considered elastic.
    • Real gases deviate from ideal behavior, especially at low temperatures and high pressures.

    Ideal Gas Model Assumptions

    • Constant random motion: Gas molecules move constantly in straight lines until colliding with each other or the container walls.
    • Perfectly elastic collisions: Collisions between molecules do not result in any energy loss.
    • No intermolecular forces: Forces of attraction between gas particles are negligible compared to their kinetic energy.

    Ideal Gas Model Assumptions (continued)

    • Negligible particle volume: The volume occupied by the gas particles themselves is much smaller than the container's volume.
    • Kinetic energy and temperature: The kinetic energy of gas particles is directly proportional to the Kelvin temperature.

    Pressure-Volume Relationships

    • Boyle's Law: At constant temperature, the pressure of a fixed amount of gas is inversely proportional to its volume (pV = constant).
    • Doubling the pressure of a gas, at a constant temperature, will halve its volume.

    Pressure-Volume Relationships (continued)

    • Graphs illustrating the relationship between pressure and volume in an ideal gas show an inverse relationship.
    • Standard Temperature and Pressure (STP): 273.15 K and 100 kPa

    Worked Example 1

    • A weather balloon filled with 32.0 dm³ of helium at 100.0 kPa pressure at sea level.
    • Reaches an altitude of 4500 m where atmospheric pressure is 57.7 kPa.
    • The volume of the balloon at this altitude (assuming constant temperature) is approximately 55.5 dm³.

    Practice Question 1

    • A weather balloon at a certain altitude has a temperature of -35.0°C and a volume of 0.250 m³.
    • The balloon contains 16.0 g of helium
    • Calculate the pressure inside the balloon in kPa.
    • Answer: 31.7 kPa

    Real Gases vs Ideal Gases

    • Deviation from ideal gas behavior arises when intermolecular forces become significant or when gas particle volume is no longer negligible.
    • At low temperatures or high pressures, these conditions are often met.

    Real Gases vs Ideal Gases (continued)

    • The kinetic energy of gas molecules is reduced at low temperatures, increasing intermolecular forces.
    • High pressures increase the proportion of space taken up by gas molecules. The volume of the molecules becomes significant compared to the space between them

    Ideal Gas Conditions

    • Low pressure and high temperature lead to ideal gas behavior.
    • At low pressure, the space between molecules is large compared to the volume of the molecules themselves.
    • High temperatures give gas particles enough kinetic energy to overcome intermolecular forces.

    The Molar Volume of an Ideal Gas

    • Equal volumes of any two gases, at the same temperature and pressure, contain equal numbers of particles.
    • The molar volume of an ideal gas at STP (standard temperature and pressure) is 22.7 dm³.

    Worked Example 2

    • A 2.00 dm³ sample of an unknown gas at STP (standard temperature and pressure) has a mass of 2.47 g.
    • Calculate the molar mass of the gas.
    • Answer: 28.0 g/mol

    Practice Question 2

    • Determine the molar mass of an elemental diatomic gas with a density of 3.12 g/dm³ at STP.
    • Answer: 70.9 g/mol; Cl₂

    Combined Gas Law

    • The combined gas law describes the relationship between pressure, volume, and temperature of a fixed amount of gas.
    • pV/T = constant
    • This can be used to relate properties at different conditions.

    Worked Example 3

    • Illustrates determining the volume of an ideal gas sample under altered pressure and temperature conditions from starting conditions, using combined gas law

    Practice Question 3

    • Calculate the volume in dm³ of an ideal gas sample with starting conditions of 1.00 dm³ at STP
    • To be changed to conditions of 50.0°C and 50.0 kPa

    Ideal Gas Equation

    • The ideal gas equation (pV = nRT) relates pressure (p), volume (V), amount (n), temperature (T), and universal gas constant (R).
    • Ideal gas law used to determine gas properties from others

    Worked Example 4

    • A 3.30 g sample of an unknown organic compound was vaporized at 150°C and 101.3 kPa to produce 1.91 dm³ of gas.
    • The gas was combusted to produce...
    • Determine the molar mass, empirical formula and molecular formula

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    SL S1.5 Ideal Gas PDF

    Description

    Explore the principles behind the ideal gas model, including its key assumptions and relations like pressure-volume dependency. This quiz tests your knowledge on the behavior of ideal gases and how they differ from real gases under various conditions.

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