Questions concerning Kinetic Molecular Theory

In summary, when considering two gases, A and B, in containers of equal volume with the same temperature and pressure, the number of molecules of A is equal to the number of molecules of B. However, the molar mass of A is greater than the molar mass of B due to container B having a larger overall mass. Both samples have the same average kinetic energy since they have the same temperature, but the average velocity of A is higher than that of B. Additionally, the molecules of A collide with the container walls more frequently than the molecules of B in order to exert the same amount of pressure.
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Homework Statement



Consider two gases, A and B, in containers of equal volume. Both have the same temperature and pressure. Mass of A = 0.34 g and Mass of B = 0.48 g

True or False: (justify your answer)
a. The number of molecules of A is equal to the number of molecules of B.
b. The molar mass of A is greater than the molar mass of B.
c. Both samples have the same average kinetic energy.
d. The molecules of A have the same average velocity as the molecules of B.
e. The molecules of A collide with the container walls more frequently than the molecules of B.

2. The attempt at a solution

a. True, both containers have the same volume. According to Avogadro's Law, equal volumes of gases at the same temperature and pressure contain the same number of particles.
b. False, container B has a larger overall mass with the same amount of molecules as A, therefore it must have a larger molar mass
c. True, the temperature of both containers is equal. (The kinetic energy of A is equal to B. Although the molecules of A are lighter, they are moving faster)
d. False, the average velocity of A is higher than that of B.
e. True, the molecules in A must collide more frequently in order to exert the same amount of pressure as B.

Am I correct in my reasoning?
 
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I think all are right.
 

FAQ: Questions concerning Kinetic Molecular Theory

What is Kinetic Molecular Theory (KMT)?

Kinetic Molecular Theory is a scientific explanation of the behavior of gases. It describes how gas particles behave and interact with each other at the molecular level.

What are the main assumptions of KMT?

The main assumptions of KMT are: 1) Gas particles are in constant, random motion; 2) Gas particles are negligible in volume and have no attractive or repulsive forces between them; 3) Collisions between gas particles are elastic; and 4) The average kinetic energy of gas particles is directly proportional to the temperature of the gas.

How does KMT explain the properties of gases?

KMT explains the properties of gases by considering the behavior of individual gas particles and how they interact with each other. For example, the constant motion of gas particles explains the fluidity and compressibility of gases, while the assumption of elastic collisions explains the pressure exerted by gases.

How does KMT relate to the ideal gas law?

KMT is the basis for the ideal gas law, which describes the relationship between pressure, volume, temperature, and number of moles of an ideal gas. The assumptions of KMT, such as negligible volume and elastic collisions, are used to derive the ideal gas law equation.

What factors affect the behavior of gases according to KMT?

According to KMT, the behavior of gases is affected by temperature, pressure, and volume. As temperature increases, the average kinetic energy of gas particles also increases, causing them to move faster and exert more pressure. As pressure increases, gas particles are forced closer together, reducing their volume. And as volume decreases, gas particles collide with each other and the container walls more frequently, resulting in a higher pressure.

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