Chapter 15: Ideal Gases Flashcards
What is Avogadro’s constant
the number of atoms there are in one mole of a substance
Key Assumptions in the kinetic theory of gases
- large number of molecules in a random, rapid motion
- particles are negligibly small compared to the total volume of the gas
- all collisions are perfectly elastic
time taken for a collision is negligible compared to time between collisions - between collisions there are no forces between particles
Why do gases exert a pressure on a container they are in?
- gas particles collide with the surface of the container
- the container exerts a force onto the particles to change their direction. The particles exert an equal and opposite force on the container
- pressure is force applied per unit area
What is an ideal gas?
- gas molecules do not interact with each other
- the molecules are perfectly spherical
Ideal gas equation
pV = nRT
Boyle’s Law
pressure is inversely proportional to volume, providing temperature is constant
How are pressure and temperature of a gas related?
directly proportional
Use the kinetic theory of gases to explain why a temperature increase leads to an increase in pressure
- particles have more kinetic energy
- more kinetic energy means a greater change in momentum during collisions with the container. There are also more frequent collisions.
- change in momentum is proportional to the force applied, and therefore pressure
Root mean square speed
The square root of the mean of the squares of the speed of the molecule
What does the area under a Maxwell-Boltzmann curve represent?
total number of particles
How does the Maxwell-Boltzmann curve change if the temperature of the gas increases
The average particle speed, and maximum particle speed both increase (curve shifts to the right)
The curve becomes lower and more spread out
What is the average kinetic energy of a particle in an ideal gas equal to?
1.5kT
TRUE OR FALSE: The internal energy of an ideal gas is proportional to absolute temperature
TRUE
An ideal gas has no potential energy, meaning internal energy is proportional to kinetic energy