Equations Flashcards
State Boyle’s Law.
p ~ 1/v at constant T
State Charle’s Law.
V ~ T at constant p and n
State Avogadro’s Law.
V ~ n at constant p and T
State the ideal gas equation.
pV = nRT
State the equation for pressure.
p = hpg
p is the density of mercury
g is the acceleration due to gravity
State the mole fraction.
Xa = na/ntotal
Sum of mole fractions should add up to 1.0
State the equation relating pressure and moles.
Xa = na/ntotal = pa/ptotal
State the equation for the change in momentum.
Change in momentum = (momentum before collision) - (momentum after collision)
2mvx = (mvx) - (-mvx)
State the equation for momentum.
Momentum = mass x velocity (mv)
State the average kinetic energy of a single molecule.
EKE = 1/2ms^2
State the equation for the mean kinetic energy per molecule.
EKE = 1/2mc^2
State the equation for the root mean square speed.
c = (3RT/M)^1/2
What is the mean speed of a molecule for a mixture of two gases?
mean speed of A/mean speed of B = (MB/MA)^1/2
State Graham’s Law of Effusion.
rate of effusion ~ 1/M1/2
What is the rate of effusion for a mixture of two gases?
rate of effusion of A/rate of effusion of B = (MB/MA)^1/2
State the equation for the collision cross-section.
Ó = pi(2r)^2 = pid^2
State the equation for the collision frequency (Z).
Z = /2Na (có) (p/RT)
State the equation for the mean free path.
~
/\ = RT//2Naóp
State the equation for the root mean square of the molecular speeds.
c = (s1^2 + s2^2 + … sn^2 / N)^1/2
State the equation for the mean speed.
_
c = s1 + s2 + … sn/N
State the van dee Waals equation for gases.
(p + a(n/V)^2) (V-nb) = nRT
a term: correction factor for the intermolecular attractions
b term: correction factor for the finite size of molecules
