Change of State & Kinetic Energy
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Questions and Answers

When carbon dioxide sublimates, transitioning from a solid to a gaseous state, which property undergoes a change?

  • Particle arrangement (correct)
  • Molecular polarity
  • Gram-formula mass
  • Bond type

A container holds particles that are widely spaced and move independently of each other. According to the kinetic molecular theory, which state of matter is most likely represented in the container?

  • Gas (correct)
  • Plasma
  • Liquid
  • Solid

Four different gas samples are at the temperatures 12°C, 27°C, 267 K, and 298 K. Which gas sample exhibits the highest average kinetic energy?

  • 267 K
  • 27°C
  • 298 K (correct)
  • 12°C

Which statement best describes the motion of ideal gas molecules, according to the kinetic molecular theory?

<p>The straight-line motion of the gas molecules is constant and random. (B)</p> Signup and view all the answers

Which of the following statements is a fundamental assumption about the particles in an ideal gas?

<p>The volume of the particles is negligible. (A)</p> Signup and view all the answers

Under which conditions does a real gas behave most like an ideal gas?

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

Two sealed containers of equal volume are compared. Container A holds 2.0 grams of hydrogen gas, and container B holds 2.0 grams of oxygen gas, both at the same temperature. Which statement correctly compares the pressures in the two containers?

<p>The pressure in container A is approximately 4 times greater than in container B. (B)</p> Signup and view all the answers

A rigid container holds a gas at a certain pressure and temperature. If the temperature of the gas is doubled in Kelvin, what happens to the pressure of the gas, assuming the volume and number of moles remain constant?

<p>The pressure is doubled. (B)</p> Signup and view all the answers

Under which conditions is a gas most likely to deviate significantly from ideal behavior?

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

Which of the following gases will diffuse most slowly, assuming all are at the same temperature and pressure?

<p>SO₂ (B)</p> Signup and view all the answers

A gas is at standard temperature and pressure (STP). Which of the following conditions correctly describes STP?

<p>273 K and 760 mm Hg (B)</p> Signup and view all the answers

A rigid container holds a sample of gas. If the temperature of the gas is increased, what happens to the frequency of collisions between the gas particles and the walls of the container?

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

A gas occupies a volume of 10.0 L at a pressure of 2.0 atm. If the pressure is decreased to 1.0 atm while keeping the temperature constant, what will be the new volume of the gas?

<p>20.0 L (B)</p> Signup and view all the answers

Which graph best represents the relationship between pressure and volume of a gas at constant temperature?

<p>A curved line with a downward slope (A)</p> Signup and view all the answers

A container of gas at 200 K is heated until it reaches 600 K, while the pressure remains constant. If the initial volume of the gas was 6.00 L, what is the final volume?

<p>18.0 L (C)</p> Signup and view all the answers

A gas sample is heated in a closed, rigid container. Which of the following describes the effect of increasing the temperature on the pressure of the gas?

<p>The pressure increases (C)</p> Signup and view all the answers

A gas occupies a certain volume at 200 K. To double the volume while keeping the pressure constant, what should the new temperature be?

<p>400 K (D)</p> Signup and view all the answers

A container holds a mixture of gases: nitrogen, oxygen, and carbon dioxide. If the total pressure in the container is 760 mm Hg, and the partial pressures of nitrogen and oxygen are 300 mm Hg and 200 mm Hg respectively, what is the partial pressure of carbon dioxide?

<p>260 mm Hg (D)</p> Signup and view all the answers

Flashcards

CO₂ Sublimation Change

Change only in the particle arrangement. Solids have fixed structures, gases have widely spaced, random particles.

Identifying a Gas

Look for particles that are far apart and moving randomly.

Highest Kinetic Energy

Kinetic energy increases with temperature (in Kelvin).

Ideal Gas Motion

Particles move randomly in straight lines; no significant attraction exists between them.

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Ideal Gas Volume

Individual gas molecules have negligible volume compared to the total volume.

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Ideal Gas Conditions

High temperature and low pressure.

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Gas Deviation from Ideal

Gases with larger molecules and stronger intermolecular forces deviate more from ideal behavior.

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Gas Diffusion Rate

Lighter gases diffuse faster; heavier gases diffuse slower.

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Standard Temp & Pressure (STP)

760 mm Hg (1 atm) and 0°C (273 K).

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Temp Increase effect on gas

Frequency of collisions between gas particles increases.

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Pressure Decrease Effect on Volume

Volume increases proportionally.

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Boyle's Law Formula

Pressure and volume are inversely proportional: P₁V₁ = P₂V₂.

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Charles's Law

Volume is directly proportional to temperature (in Kelvin): V₁/T₁ = V₂/T₂.

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Gay-Lussac's Law

Higher temperature leads to higher pressure: P₁/T₁ = P₂/T₂.

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Dalton's Law

Total pressure is the sum of individual partial pressures.

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Partial Pressure Calculation

P(gas) = (mole fraction of gas) × P(total)

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Study Notes

Change in CO₂ State (Solid to Gas)

  • When CO₂(s) sublimates, only the particle arrangement changes.
  • The arrangement changes from a fixed, ordered structure in solids to widely spaced, randomly moving particles in gases.
  • Bond type, molecular polarity, and gram-formula mass remain unchanged.

Identifying a Gas in a Particle Diagram

  • Gases are identified by widely spaced, randomly moving particles.
  • Solids have closely packed particles in a fixed arrangement.
  • Liquids have particles that are close but move freely.

Highest Kinetic Energy

  • Kinetic energy (KE) is directly proportional to temperature in Kelvin.
  • To convert Celsius to Kelvin, add 273.
  • 298 K is the highest temperature among the options, indicating the highest kinetic energy.

Kinetic Molecular Theory: Ideal Gas Motion

  • Ideal gas particles move in random, straight-line motion until they collide.
  • There are no significant attraction forces between ideal gas particles.

Properties of an Ideal Gas

  • In ideal gases, individual gas molecules are considered to have no volume.
  • This is in comparison to the total volume of the gas.
  • Real gases deviate from this assumption at high pressures and low temperatures.

Conditions for Ideal Gas Behavior

  • Gases behave ideally at high temperatures and low pressures.
  • High temperature causes gas particles to move fast, reducing intermolecular attraction.
  • Low pressure causes gas particles to be far apart, reducing interactions.

Gas Least Likely to Follow Ideal Gas Laws

  • Larger gas molecules (like Xe) have stronger intermolecular forces.
  • Stronger intermolecular forces cause deviation from ideal behavior.
  • Lighter gases like He and Ne behave more ideally.

Slowest Diffusing Gas

  • According to Graham’s Law of Diffusion, lighter gases diffuse faster.
  • The gas with the greatest molecular mass diffuses the slowest.

Standard Temperature and Pressure (STP)

  • STP is 1 atm (760 mm Hg or 101.3 kPa) and 273 K (0°C).

Effect of Increasing Temperature on a Rigid Gas Sample

  • Higher temperature causes faster-moving particles.
  • Faster-moving particles causes more frequent collisions.

Pressure-Volume Relationship at Constant Temperature

  • If pressure decreases, volume increases proportionally, according to Boyle’s Law.
  • Boyle's Law Formula: P₁V₁ = P₂V₂

Pressure-Volume Graph

  • Boyle’s Law states pressure and volume have an inverse relationship.
  • The graph representing this relationship is a curved downward slope.

Mathematical Relationship of Pressure and Volume

  • Boyle’s Law formula states that pressure times volume remains constant: P × V = k

Volume-Temperature Relationship

  • Volume is directly proportional to temperature (in Kelvin), as described by Charles’s Law.
  • Charles's Law Formula: V₁ / T₁ = V₂ / T₂

Volume vs. Temperature Graph at Constant Pressure

  • Charles’s Law shows a direct proportionality between temperature and volume.
  • The graph is a straight, upward-sloping line.

Volume Change When Temperature Increases

  • Use Charles’s Law: V₁ / T₁ = V₂ / T₂
  • If you have:
    • V₁ = 6.00 L
    • T₁ = 200 K
    • T₂ = 600 K
  • Then V₂ = 6.00 × (600/200) = 12.0 L

Effect of Increasing Temperature on Pressure (Constant Volume)

  • Higher temperature results in higher pressure, according to Gay-Lussac’s Law.
  • Gay-Lussac's Law Formula: P₁ / T₁ = P₂ / T₂

Pressure-Temperature Graph for an Ideal Gas

  • Gay-Lussac’s Law shows a direct relationship between pressure and temperature.
  • The graph is a straight, upward-sloping line.

Doubling Volume While Keeping Pressure Constant

  • According to Charles’s Law, if temperature doubles in Kelvin, volume also doubles.
  • Example doubling: 200 K to 400 K

Volume of CH₄ Gas at a New Temperature

  • Charles’s Law applies: V₂ = V₁ × (T₂/T₁)

Changing Volume Based on Pressure & Temperature

  • The Combined Gas Law should be used.
  • The Combined Gas Law is: (P₁V₁) / T₁ = (P₂V₂) / T₂

Finding New Pressure

  • Use the Combined Gas Law and solve for P₂.

Partial Pressure Calculations

  • Use Dalton’s Law: Ptotal = PA + PB + PC
  • Solve for unknown pressures.

Partial Pressure of Hydrogen

  • Partial pressure equals total pressure multiplied by hydrogen’s mole fraction.
  • Formula: P(H₂) = (3 / (4+3+1)) × P(total)

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Description

Covers the change in CO₂ state from solid to gas (sublimation). Identifies gases in particle diagrams and explains kinetic energy relative to Kelvin temperature. Describes ideal gas motion according to kinetic molecular theory.

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