Chap 13 Flashcards
kinetic molecular theory (KMT) of gases
- all gases are composed of tiny particles called molecules. the molecules are very far apart, and the volume of the molecules is extremely small compared to the total volume of gas. a gas is mostly empty space.
- gas molecules are in constant, rapid linear motion. the pressure of a gas is a result of the collision (force) of the molecules with the walls of the container (surface area). P = F / A.
- the collisions between molecules are completely elastic (no kinetic energy is lost). the pressure of a gas in a container remains the same as long as temperature remains constant.
- the molecules of a gas do not attract or repel one another.
- at any moment the molecules have different velocities. the average kinetic energy (KE = 1/2 mv^2) of the molecules is directly proportional (mass velocity) to absolute (Kelvin) temperature.
Boyle’s Law
volume and pressure are inversely proportional if temperature and amount of gas remain constant.
V is proportional to 1/P VP = constant
V P = V P
pressure / temperature law
pressure and absolute temperature are directly proportional at constant volume and amount of gas
P is proportional to T P/T = constant P / T = P / T
Charles’ Law
volume and absolute temperature (Kelvin) are directly proportional if pressure and amount of gas are constant.
V is proportional to T V/T = constant V / T = V / T
conversions
760 mm Hg = 1 atm
1 atm = 101.3 kPa
Dalton’s Law
the total pressure or a mixture of gases is equal to the sum of the partial pressures of the individual gases
P = P + P + P …….
Dalton’s Law is used when a gas is collected by bubbling and through water.
P = P + P P = vapor pressure of water
Graham’s Law
the rate of diffusion or effusion of a gas is inversely proportional to the square root of its density or square root of its molecular mass.
(lighter gases diffuse faster than heavier gases)
Rate is proportional to 1/ MM 1 / d
For comparing the rates of diffusion of two gases: Rate / Rate = MM / MM
Ideal Gas Law
PV = nRT
P = pressure, V = volume, n = moles of gas
R = ideal gas constant
= .08206 L atm/mol K
T = temperature in kelvin