One of the assumptions of the kinetic molecular theory is that the volume of a gas particle is...
Question:
One of the assumptions of the kinetic molecular theory is that the volume of a gas particle is negligible. If this were the case, the ratio of the number of collisions of gas particles with the walls of the container compared to the number of collisions a given gas particle experiences with other gas particles should be quite high. Determine the volume of a cube (in L) filled with helium such that the ratio of the number of collisions of helium atoms with the container walls to the number of intermolecular collisions for a given helium atom is 1 quintillion (1 quintillion = {eq}1.00\times {{10}^{18}} {/eq}). The atomic radius of helium is {eq}3.2\times {{10}^{-11}} {/eq} m.
Kinetic Molecular Theory:
Kinetic Molecular Theory explains the composition and behavior of ideal gas molecules. There are five postulates regarding the kinetic theory of gases. They are related to the movement, volume, intermolecular forces, collisions, and kinetic energy of the ideal gases.
Answer and Explanation: 1
Become a Study.com member to unlock this answer! Create your account
View this answerGiven data
- The atomic radius of helium, {eq}{{\rm{r}}_{{\rm{He}}}} = 3.2 \times {10^{ - 11}}\;{\rm{m}} {/eq}
- The ratio of the number of collisions...
See full answer below.
Ask a question
Our experts can answer your tough homework and study questions.
Ask a question Ask a questionSearch Answers
Learn more about this topic:
from
Chapter 7 / Lesson 1Learn what the properties of gases are and discover the kinetic molecular theory of gases. Understand the characteristics of ideal gases and know examples of the properties of gases.
Related to this Question
- Consider the basic postulates of the kinetic molecular theory given below: A. The size of a gas particle is negligibly small. B. The average kinetic energy of a particle is proportional to its temperature in kelvins. C. The collision of one particle wi
- Which assumptions are common to both kinetic-molecular theory and the ideal-gas equation? a) Molecules do not collide. b) Attractive forces among molecules are negligible. c) The volume of gas molecules is negligible relative to the container volume. d) R
- Which of the following does not correctly describe the kinetic molecular theory? (a) Collisions between gas particles are inelastic. (b) Gas particles are small and spherical with an insignificant volume. (c) During collisions between two gas particles, k
- Which assumption(s) of the kinetic-molecular theory explain the behavior of gases described by Boyle's Law? Check all that apply. a. Collisions between gas molecules and between molecules and the wall of a container are elastic. b, The amount of space occ
- Which assumption of Kinetic Molecular Theory is not followed when a real gas shows non-ideal behavior? (a) Collisions with the walls of the container or with other molecules are elastic. (b) The velocity of gas molecules is proportional to their Kelvin
- All of the following are postulates of the kinetic molecular theory of gases except A. The gas molecules are in constant motion. B. The gas molecules are in rapid motion. C. The collisions between mol
- How does the frequency of collisions of the molecules of a gas with the walls of their container change as the amount of gas is decreased at constant temperature and volume? Justify your answer on the basis of the kinetic molecular theory of gases.
- In the kinetic molecular theory of gas behavior, the assumption is made that gas molecules (a) move rapidly in random directions. (b) are attracted to each other by strong forces. (c) are close together in their container. (d) move with a kinetic ener
- In the kinetic molecular theory of gas behavior, the assumption is made that gas molecules __________. a. move rapidly in random directions. b. are attracted to each other by strong forces. c. are close together in their container. d. move with a kine
- Which of the following is not an assumption of the kinetic molecular theory of gases? a. Gases have a negligible volume. b. Gases are in constant motion and do not lose energy. c. Gases do not affect each other. d. Average kinetic energy is proportional t
- Choose the incorrect assumption of the kinetic molecular theory of gases. (a) Particles are separated by great distances. (b) Strong long-range attractions are present between particles. (c) Particles are point masses. (d) Particles are traveling in c
- Which of the following correctly describes an assumption made by the kinetic molecular theory? a. Gas particles exert slight attractive and repulsive forces between each other. b. During collisions between gas particles, a small amount of kinetic energy
- The kinetic theory of gases describes how the movement of gas particles is modeled under several assumptions below. Check all that apply. Gases consist of particles in constant, random motion and will move in a straight line until a collision occurs. This
- According to the kinetic theory of gases, gas can be compressed much more than a liquid or solid because (a) a gas is composed of very small particles. (b) the particles of a gas are very far apart. (c) gas particles move rapidly. (d) gas particles do
- According to the kinetic theory of gases, a gas can be compressed much more than a liquid or solid because (a) a gas is composed of very small particles. (b) the particles of a gas are very far apart. (c) gas particles move rapidly. (d) gas particles
- According to the kinetic theory of gases, a gas can be compressed much more than a liquid or solid because __________. a. a gas is composed of very small particles. b. the particles. of a gas are very far apart. c. gas particles move rapidly. d. gas p
- Avogadro's hypothesis states that equal volumes of any two gases under the same conditions of temperature and pressure have equal (blank). A) numbers of molecules B) numbers of atoms C) masses D) density E) average particle velocities
- What are the basic postulates of kinetic molecular theory? a. the size of a particle is negligibly small. b. the average kinetic energy of a particle is inversely proportional to the temperature in kelvins. c. the average kinetic energy of a particle i
- Summarize the postulates of the kinetic molecular theory for gases. How does the kinetic molecular theory account for the observed properties of temperature and pressure?
- All of the following are postulates of the Kinetic Molecular Theory except: a. Gas molecules are small compared to the volume of the container, their volume is considered negligible. b. Gas molecules do not have attractive or repulsive forces toward one a
- All of the following are postulates of the Kinetic Molecular Theory except: a. Gas molecules are small compared to the volume of the container, their volume is considered negligible. b. Gas molecules do not have attractive or repulsive forces toward one
- Kinetic Molecular Theory. 1. At constant temperature, the lighter the gas molecules, the larger the average velocity. 2. As temperature decreases, the average kinetic energy of a sample of gas mol
- Because the average kinetic energies of molecules of different gases are equal at a given temperature, and the kinetic energy of a molecule is directly proportional to its mass and the square of its velocity, molecules of gases that have lower molecular w
- Which of the following are postulates of the kinetic-molecular theory of gases? 1. The distance between gas molecules is large in comparison to their size. 2. Gas molecules are in constant, random motion. 3. The kinetic energy of a gas molecule is inve
- What are the kinetic theory assumptions about ideal gases? State the ideal gas equation.
- Choose the correct answer: According to the kinetic theory of gases, a gas can be compressed much more than a liquid or solid because A) a gas is composed of very small particles. B) the particles of a gas are very far apart. C) gas particles move rapi
- Consider a 1.0-L container of neon gas at STP. Will the average kinetic energy, root mean square velocity, frequency of collisions of gas molecules with each other, frequency of collisions of gas molecules with the walls of the container, and energy of im
- According to kinetic molecular theory, the particles that compose a gas: a. attract one another strongly b. are packed closely together c. have an average kinetic energy proportional to the temperature in kelvin d. all of the above
- According to the kinetic molecular theory, the particles that compose a gas: a) attract one another strongly. b) are packed closely together. c) have an average kinetic energy proportional to the temperature in kelvin. d) all of the above.
- Which of the following does not follow the kinetic molecular theory? a. Gas molecules possess mass but have negligible volume. b. Gas molecules attract each other during collision, which affects the overall energy. c. The average kinetic energy of gas mol
- Which of the following does not follow the kinetic molecular theory? A. Gas molecules possess mass but have negligible volume. B. Gas molecules attract each other during collision, which affects the overall energy. C. The average kinetic energy of gas
- According to the kinetic theory of gases, particles of a gas are very large particles. (b) are very far apart. (c) lose their valence electrons. (d) move slowly. (e) decrease kinetic energy as temperature increases.
- According to the kinetic theory of gases, particles of a gas __________. a. are very large particles. b. are very far apart. c. lose their valence electrons. d. move slowly. e. decrease kinetic energy as temperature increases.
- The kinetic molecular theory can be used to explain each of the experimentally determined gas laws. Give examples of how gas laws can be explained from the kinetic molecular theory of gases.
- According to the postulates of the kinetic theory of gases, theaverage speed of the molecules of a given gas is proportional tothe A) square root of the absolute temperature. B) Celsius temperature squared. C) absolute temperature squared. D) absolute tem
- How does the kinetic molecular theory explain Dalton's law? a) Gas particles collide with the container with the same frequency regardless of whether other gases are present. b) Gas particles are different sizes and do not contribute equally to the overal
- Which statement is true about kinetic molecular theory? a) A single particle does not move in a straight line. b) The collisions of particles with one another is completely elastic. c) The size of the particle is large compared to the volume. d) The avera
- All the following are postulates of the kinetic molecular theory of gases except: A) The collisions between molecules are elastic. B) The gas molecules move randomly in straight lines in all directions. C) Smaller gas molecules will travel at the same spe
- According to the kinetic theory, gases consist of particles that A. occupy considerable volume. B. are relatively close together. C. exerts attractive and repulsive forces on other particles. D. h
- The kinetic molecular theory describes: (a) gases (b) solids (c) liquids (d) all of the above
- According to the kinetic molecular theory, which of the following is true? Select all that apply. A. Gas pressure is caused by collisions of individual gas particles with the walls of their containers. B. There is strong attraction and repulsion between
- Using the postulates of the kinetic molecular theory, explain why a gas uniformly fills a container of any shape.
- According to the kinetic molecular theory, which statement describes the particles of an ideal gas? a) The gas particles are arranged in a regular pattern. b) The force of attraction between the gas particles is strong. c) The gas particles are hard spher
- The number of collisions per second between a molecule and other molecules in a sample of gas depends on what properties of the gas molecules?
- What is the kinetic molecular theory of gases? What is the connection between the kinetic energy of a gas molecule (or atom), its root-mean squared (rms) velocity and temperature?
- Which of the following statements about kinetic molecular theory are not correct: a. The combined volume of all the molecules of the gas is negligible relative to the total volume in which the gas is contained. b. Attractive and repulsive forces between g
- Which of the following statements about the kinetic molecular theory are not correct? A. The combined volume of all the molecules of the gas is negligible relative to the total volume in which the gas is contained. B. Attractive and repulsive forces betwe
- a) Use the kinetic-molecular theory to describe the behaviour of liquids with changing temperature. b) Why are liquids denser than gases?
- A gas in a container at constant volume has a collision rate of 1.0 x 10^6 collisions per second at 40 K. If the temperature is lowered to 20 K, what will the collision rate be?
- Which of the following statements is a correct principle of the kinetic molecular theory of gases? (a) The velocity of a gas molecule is inversely proportional to its temperature. (b) Gas pressure varies directly as its volume. (c) At a given temperatu
- According to the kinetic-molecular theory, gas molecules have: a. strong interactions between molecules. b. little distance between molecules. c. weak interactions between molecules. d. less energy than molecules of a solid.
- In a sample of oxygen gas at room temperature, the average kinetic energy of all of the particles stays constant. Which postulate of kinetic molecular theory best explains how this is possible?
- Which of the following is not an assumption under KMT? (a) Gas particles have no attraction for one another. (b) During a collision, energy is lost by the gas particles and later is regained. (c) Gases at the same temperature have the same average kin
- The kinetic molecular theory of gases suggests that gas particles exert _______ attractive or repulsive forces on each other.
- Describe "Kinetic Molecular Theory". What are the assumptions of Kinetic Molecular Theory?
- Under the ideal gas laws, which of the following is NOT a correct assumption a) Molecules occupy a negligible volume. b) Gas volume are insensitive to changes in pressure. c) No energy is lost when molecules collide. d) Forces between molecules are in
- Use the kinetic theory to explain solids and liquids cannot be compressed as much as gases.
- Which of the following is not part of the kinetic theory of gases? a. A gas is composed of very small particles. b. There is very little empty space in a gas. c. Gas particles move rapidly. d. Gas particles do not attract or repel one another. e. Gas part
- How does the kinetic-molecular theory help explain the difference between solids, liquids, and gases?
- What are the basic assumptions of the kinetic-molecular theory?
- Use the kinetic theory to justify why the rate of a reaction in the gas phase depends on the energy with which two molecules collide, which in turn depends on their speeds.
- Which of the following is true of an ideal gas according to the kinetic theory? Select one: A. All molecules have the same kinetic energy. B. Al molecular collisions have the same energy. C. All molecules have the same velocity. D. all of the above
- Give the five statements that summarize the kinetic-molecular theory of gases.
- How can the kinetic molecular theory can be used to explain each of the experimentally determined gas laws?
- The most probable velocity ump is the velocity possessed by the greatest number of gas particles. At a certain temperature, the probability that a gas particle has the most probable velocity is equal to one-half the probability that the same gas particle
- In a gas, the distance between the particles is __________. a. very close relative to the size of the molecules. b. close relative to the size of the molecules. c. fixed relative to the size of the molecules. d. small relative to the size of the molec
- Which of the following does not follow the kinetic molecular theory? a. When hitting the walls of the container, the velocity of gas molecules decreases. b. The average kinetic energy of gas molecules increases with increasing thermal energy (higher tempe
- What is kinetic molecular theory as it relates to gas?
- Which of the following is not part of the kinetic theory of gases? (a) A gas is composed of very small particles. (b) There is very little empty space in a gas. (c) Gas particles move rapidly. (d) Gas particles do not attract or repel one another. (e
- Which of the following is not one of the postulates of the kinetic molecular theory of gases? A. Gas molecules are in a state of constant, random motion. B. The diameter of a gas molecule is large when compared with the distance between gas molecules. C.
- Use kinetic molecular theory to explain why approximating ideal gas behavior (i.e., PV=nRT) is reasonably accurate only at low pressures and high temperatures.
- In kinetic theory, the collision of one particle with another is.
- If you are using the unit Kelvin, you are measuring the average a. kinetic energy of molecules. b. rate of reaction of particles. c. mass of ionic compounds. d. volume of a sample of gas.
- The kinetic theory is based on the idea that particles of matter are always in.
- Using postulates of the kinetic molecular theory, give a molecular interpretation of Boyle's law, Charles's law, and Dalton's law of partial pressures.
- What happens to the average kinetic energy of a gas when the particles of the gas collide against each other at a constant temperature and volume? Explain your answer.
- In kinetic theory, the collision of one particle with another is known as _____.
- The Kinetic Molecular Theory (KMT) is discussed in this lesson, and it helps us understand the behavior of gases. From what we learned, which of these statements are consistent with KMT? \\ A. Due to the large amount of empty space between gas molecules/
- Explain the kinetic molecular theory of gases and discuss its limitations.
- Based on kinetic-molecular theory, which of the following are true? I. At a given temperature, all gases have the same average kinetic energy. II. At a given temperature, different gases have different average velocities. III. The average kinetic energ
- According to the kinetic molecular theory of gases, rank the following molecules, at STP, by their root mean square velocity: 1. H_2 2. CH_4 3. Cl_2
- Write down your observations of the behavior of the gas molecules. Use terms some or all of the following terms: particles, collisions, force, velocity.
- Use the kinetic molecular theory to explain why the pressure changes when the temperature of an ideal gas increases.
- A physical property of both liquids and gases is that: a. they have their own shape. b. they have a definite volume. c. they both have very strong interactions between its particles. d. the particles are randomly arranged. e. there are large spaces betwee
- Explain the kinetic theory of how gas particles behave.
- Which one of the following is true according to the kinetic theory of gases? I. Speed of gas particles is equal under the same temperature. II. Repulsion or attraction forces between gas molecules are too small that they can be neglected. III. Increasing
- Based on collision theory, explain which molecular-level factors influence whether a collision between two molecules will lead to a reaction.
- Use kinetic theory to explain why solids and liquids cannot be compressed as much as gases.
- Use the postulates of the kinetic molecular theory KMT to explain why Boyle's law, Charles's law, Avogadro's law, and Dalton's law of partial pressures hold true for ideal gases.
- Explain Boyle's law using the Kinetic Molecular Theory of ideal gas.
- Use the kinetic molecular theory of gases to explain each of the following: a. A container of nonstick cooking spray explodes when thrown into a fire. b. The air in a hot-air balloon is heated to ...
- Which of the following statements describes an ideal gas according to the kinetic-molecular theory of gases? a. The volume occupied by gas molecules themselves is not comparable to the volume between molecules. b. Gas molecules attract each other because
- How is the phenomenon of temperature explained on the basis of the kinetic molecular theory? What microscopic property of gas molecules is reflected in the temperature measured?
- What two factors determine whether a collision between reacting particles will occur? a. potential energy and kinetic energy b. orientation and potential energy c. kinetic energy and temperature d. kinetic energy and orientation
- List and explain the main postulates of the kinetic molecular theory for gases. How do these postulates help us account for the following bulk properties of a gas: the pressure of the gas and why the pressure of the gas increases with increased temperatur
- 1. If He gas has an average kinetic energy of 7210 J/mol under certain conditions, what is the root mean square speed of F2 gas molecules under the same conditions? 2. a.Use the van der Waals equatio
- Use the kinetic theory of gases to explain this statement: No gas exhibits ideal behavior at all temperatures and pressures. Explain why the rates of diffusion of nitrogen gas and carbon monoxide are
- In terms of the kinetic molecular theory, why is it impossible for a substance to exist as a liquid above its critical temperature?
- Which of the following is a property of both liquids and gases? (a) has a definite volume (b) has strong interactions between its particles (c) has randomly arranged particles (d) has large spaces between molecules.
- Which of the following is not a part of the kinetic molecular theory? a. Atoms are neither created nor destroyed by ordinary chemical reactions. b. Attractive and repulsive forces between gas molecules are negligible. c. Gases consist of molecules in cont