lesson 2 Flashcards
the kinetic molecular theory of gases.
based of of speculation:
- the particles size doesn’t matter
- the pressure is caused by constant motion.
- the particles don’t affect each other.
- assumed to be proportional temperature in Kalvin.
why does the size of particles not matter?
because it is so small that it makes no significant difference.
How KMT model explains properties of gas. pressure and volume from Boyle’s law.
decrease in volume means an increase in particles hitting the walls and increasing pressure.
How the KMT model explains properties of the gas. pressure and temperature from Boyle’s law
as the temperature of gas increase, the speed of particles increase causing an increase in the force of particles hitting the walls & frequency leading to an increase in pressure.
How KMT model explains properties of gas. volume and temperature according to Charles’s law.
the gas is heated, the speed of particles increases leading to an increase in pressure and so the pressure can stay constant is to increase the volume.
How KMT model explains properties of gas. number of moles and volume.
to increase number of particles without increasing the pressure, we need to increase volume.
How KMT model explains properties of gas. Dalton’s law.
size of particles doesn’t matter so sum of each gas added together.
how to derive ideal gas law?
P = 2/3 [ n*N*(1/2*mu^2) / V ] => (KE)ave = N*(1/2*mu^2) P = 2/3 [ n*(KE) / V ] -> VP / n = 2/3 KE ~~ T
Molecular Speed
Root mean square velocity
u(Root mean square) = u ^2/2 = ( 3RT / N*m)^(1/2)
speed distribution is affected by temperature.
the Maxwell-Boltzmann distribution -> as temperature increases, the range & value become higher.
deviation of real gas (pressure)
in ideal gas: P = 1 atm in all conditions.
real gas: PV/nRT is approaches 1 only at very low pressure.
deviation of real gas (temperature)
real gas approaches the state of ideal gas as temperature increase.
when does real gas behave closer to ideal gas?
at lower pressure and higher temperature.
modification to KMT to explain the behavior of real gas.
- the size of particles as the volume is affected by it.
- the attraction between particles makes the observed pressure smaller than ideal.
> the correction factor is calculated w/ N^2/2 which is the number of possible pairs.
what is van der Waals equation
[P(obs) + a (n/V)^2] * (V-nb) = nRT