Gas Laws and Kinetic Theory

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App

Questions and Answers

Under which specific conditions does the ideal gas law most accurately approximate the behavior of real gases, and what quantum mechanical considerations justify these deviations?

  • High density and strong gravitational fields, which minimize the mean free path and maximize quantum entanglement between particles.
  • Low pressure and high temperature, as the gas particles' kinetic energy is significantly greater than intermolecular forces, leading to decreased quantum mechanical effects such as tunneling. (correct)
  • Standard Temperature and Pressure (STP), where quantum corrections are negligible and the gas behavior is purely classical.
  • High pressure and low temperature, due to increased intermolecular forces and decreased kinetic energy overcoming repulsive interactions.

What are the implications of the Maxwell-Boltzmann distribution on chemical reaction rates, particularly regarding reactants possessing energy significantly above the average kinetic energy at a given temperature?

  • Only reactants with kinetic energy equal to the activation energy can react; any excess energy is immediately dissipated as heat.
  • Reactants with energy significantly above the average have a disproportionately higher probability of overcoming the activation energy barrier, leading to an exponential increase in reaction rate. (correct)
  • The rate of reaction is solely determined by the average kinetic energy; reactants above this threshold do not influence the reaction rate.
  • The rate of reaction increases linearly with the number of molecules possessing the exact average kinetic energy, indicative of the most probable reaction pathway.

In the context of non-ideal gases, how does the virial equation of state account for deviations from ideality, and what physical phenomena do its second and third virial coefficients represent?

  • The virial equation employs empirical constants based on experimental data, without reflecting specific molecular properties.
  • The second virial coefficient addresses only the excluded volume effects, while higher-order coefficients correct for relativistic momentum changes.
  • The second virial coefficient accounts for binary interactions, the third for ternary interactions, collectively adjusting for volume and intermolecular forces. (correct)
  • The virial equation only uses temperature corrections to adjust ideal gas behavior, neglecting molecular interactions.

What is the underlying microscopic explanation for why diffusion occurs from areas of high concentration to low concentration, and how does Fick's first law quantitatively describe this phenomenon?

<p>Diffusion arises from the random thermal motion of particles; Fick's first law states that flux is proportional to the concentration gradient. (A)</p> Signup and view all the answers

Assuming a rigid, adiabatic container containing an ideal gas, what would be the precise thermodynamic consequences of instantaneously and isothermally doubling the number of gas molecules, including considerations of entropy and chemical potential?

<p>The pressure doubles, entropy increases due to greater particle distribution, and chemical potential increases due to higher molecule concentration. (D)</p> Signup and view all the answers

How does the process of expansion relate to the distribution of molecular velocities within the gas, and under what conditions would the expansion approach the theoretical limits described by an adiabatic free expansion (Joule expansion)?

<p>Expansion can lead to a decrease in average molecular velocity, with Joule expansion occurring when the external pressure is effectively zero, enabling maximum volume increase without work. (A)</p> Signup and view all the answers

What chemical equilibrium shifts can thermodynamically affect the system such that Le Chatelier's principle predicts a specific response to pressure changes in gaseous systems, and how do these shifts correlate with changes in the Gibbs Free Energy?

<p>Pressure increases favor the side with fewer moles of gas, minimizing the Gibbs Free Energy by reducing volume and thus the overall system energy. (A)</p> Signup and view all the answers

In the van der Waals equation of state, what accounts for the deviation from ideal gas behavior, and what are the implications of these parameters on the predicted critical point ($P_c, V_c, T_c$) of a real gas?

<p>Van der Waals equation corrects for intermolecular attractions and the excluded volume of gas molecules, influencing the critical point by dictating where gas liquefaction occurs. (A)</p> Signup and view all the answers

How do the compressibility factor ($Z$) deviate from unity as pressure increases for different real gases, and what molecular interactions are primarily responsible for these specific variances?

<p>$Z$ decreases below 1 due to attractive forces, before increasing above 1 due to excluded volume effects; deviations hinge on specific intermolecular forces. (C)</p> Signup and view all the answers

Which process spreads out spontaneously to uniformly occupy a space?

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

Which of the following is not a basic assumption of the kinetic theory?

<p>Since the collision of molecules are perfectly elastic, there is a strong attractive force between molecules in the gaseous state. (D)</p> Signup and view all the answers

Which of the following properties does not describe a gas?

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

Which of the following will not describe the pressure of a gas?

<p>The volume of a container (A)</p> Signup and view all the answers

Which of the following illustrates the mathematical statement of Charles' law?

<p>$\frac{V_1}{T_1} = \frac{V_2}{T_2}$ (B)</p> Signup and view all the answers

Which does not signify normal atmospheric pressure?

<p>2 atm (C)</p> Signup and view all the answers

Given the equation $\frac{V_1P_1}{T_1} = \frac{V_2P_2}{T_2}$, which of the following is the correct formula for $T_2$, final temperature?

<p>$T_2 = \frac{P_2V_2T_1}{P_1V_1}$ (A)</p> Signup and view all the answers

Why does pressure build up in a tire on a hot day? (Assume that the volume is constant.)

<p>Both a and c. (B)</p> Signup and view all the answers

Which of the following indicates the amount of gas particles?

<p>4.00 moles He (D)</p> Signup and view all the answers

The Helium gas in a balloon has a pressure of 735 mmHg. Which of the units of pressure is correct?

<p>0.967 atm (A)</p> Signup and view all the answers

Hydrogen in palladium metal is an example of solid solution, which is solute from the given?

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

In liquid – liquid solutions and in gases, which term is used?

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

How can you describe oil and water?

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

At STP, what is the constant temperature?

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

Which of the following is not a solution?

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

Which of the following defined as the number of moles of component divided by the total moles of all the components?

<p>Mole fraction (D)</p> Signup and view all the answers

Aerosols can be dangerous when they are heated because they can explode. Suppose a can of insecticide with a pressure of 4.0 atm at room (28°C) is thrown into a fire. If the temperature of the gas inside the can reaches 400 °C, what will be its pressure?

<p>10.8 atm (B)</p> Signup and view all the answers

What pressure must be applied to 225 mL of gas at 1 atm to reduce its volume to 100 mL?

<p>2.25 atm (A)</p> Signup and view all the answers

A 2.50 L sample of dry air in a cylinder exerts a pressure of 3.00 atm at 25 °C. Without changing the temperature, a piston is moved until the pressure in the cylinder is reduced to 1.00 atm. What is the final volume of the gas?

<p>7.50 L (B)</p> Signup and view all the answers

Flashcards

What is diffusion?

The spreading of molecules to uniformly fill a space due to kinetic energy.

Kinetic theory: Molecular Motion

The assumption that molecules are in constant, random motion in straight lines.

Kinetic theory: Elastic Collisions

The assumption that collisions between gas molecules and container walls conserve kinetic energy.

What is ductility?

The gas property not described by ductility.

Signup and view all the flashcards

Gas Pressure indicators

The volume of a container, torr, and atm describe this; the number of gas particles indicates the amount.

Signup and view all the flashcards

Charles's Law

Volume is directly proportional to temperature when pressure and the amount of gas are held constant.

Signup and view all the flashcards

Normal atmospheric pressure

2 atm does not signify normal atmospheric pressure; 760 mmHg, 760 torr, and 76 cm Hg do.

Signup and view all the flashcards

Final Temperature Formula

T₂ = (V₂P₂T₁) / (V₁P₁) is the formula to find final temperature.

Signup and view all the flashcards

Effect of increasing temperature

As temperature increases, kinetic energy increases and pressure also increases.

Signup and view all the flashcards

Measuring Gas Amount

The amount of gas particles is indicated by moles.

Signup and view all the flashcards

What's the Correct Units of Pressure?

0.967 atm is the correct unit of pressure of 735 mmHg.

Signup and view all the flashcards

Palladium Solubility

Hydrogen (gas) acts as the solute.

Signup and view all the flashcards

What's Miscibility?

Miscibility is used in liquid-liquid solutions and in gases.

Signup and view all the flashcards

Are Oil and Water Miscible?

Oil and water are better described as immiscible.

Signup and view all the flashcards

STP Temperature

At STP, the constant temperature is 273 K.

Signup and view all the flashcards

Mayonnaise?

Mayonnaise is not a solution.

Signup and view all the flashcards

What is a Mole Fraction?

Number of moles of component divided by total moles of all components

Signup and view all the flashcards

Pressure in Aerosol Can

The new pressure is 8.9 atm.

Signup and view all the flashcards

New Pressure

The pressure is 2.25 atm.

Signup and view all the flashcards

What is the Final Volume of Gas?

The final volume is 7.50.

Signup and view all the flashcards

Study Notes

  • Diffusion is the process where a substance spreads out spontaneously to uniformly occupy a space.
  • A basic assumption of the kinetic theory is that gases consist of molecules in constant motion in straight-line paths.
  • Another assumption of the kinetic theory is that collisions between gas molecules and the container walls are perfectly elastic.
  • Furthermore, the temperature of a gas is proportional to the average kinetic energy of its molecules.
  • A property that does not describe a gas is ductility.
  • The volume of a container and the number of gas particles describe the pressure of a gas.
  • 750 torr and 3.00 atm describe the pressure of a gas.
  • Charles' law is mathematically stated as V1 / T1 = V2 / T2.
  • 760 mmHg, 760 torr, and 76 cm Hg signify normal atmospheric pressure.
  • 2 atm does not signify normal atmospheric pressure.
  • Given the equation V1P1 / T1 = V2P2 / T2, the formula for final temperature (T2) is T2 = P2V2T1 / P1V1.
  • If temperature increases in a tire, kinetic energy increases, and pressure also increases.
  • The amount of gas particles is indicated by 4.00 moles of Helium (He).
  • For Helium gas in a balloon with a pressure of 735 mmHg, the correct unit of pressure is 0.967 atm.
  • In the example of hydrogen in palladium metal forming a solid solution, hydrogen is the solute.
  • In liquid-liquid solutions and in gases, miscibility is the term used.
  • Oil and water can be described as immiscible.
  • At Standard Temperature and Pressure (STP), the constant temperature is 273 K.
  • Mayonnaise is not a solution.
  • Mole fraction is defined as the number of moles of a component divided by the total moles of all components.
  • For a can of insecticide with an initial pressure of 4.0 atm at room temperature (28°C) thrown into a fire, where the gas inside reaches 400°C, the final pressure will be 8.9 atm.
  • To reduce 225 mL of gas at 1 atm to 100 mL, a pressure of 2.25 atm must be applied.
  • A 2.50 L sample of dry air at 3.00 atm and 25°C, with the pressure reduced to 1.00 atm without changing the temperature, will have a final volume of 7.50 L.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Related Documents

More Like This

Gas  Laws: MCQ 4
15 questions

Gas Laws: MCQ 4

PrudentRainforest avatar
PrudentRainforest
Gas Laws and Kinetic Theories Quiz
5 questions
Gas Laws and Kinetic Molecular Theory
30 questions
Use Quizgecko on...
Browser
Browser