w7 Flashcards
Gas pressure (p)
the force exerted per unit area by the gas on the
walls of its container.
Barometer:
device used to measure atmospheric pressure
pascal (pa)
SI unit for gas, also used: mm Hg, atm, bar
1 atm = 760 mm Hg
1 Pa = 1 N m-2
1 bar = 1 × 105 Pa = 1 × 102 kPa = 0.9872 atm
Other Gas properties
Temperature (T), Volume (V), Amount (n)
Ideal Gas Equation
“Ideal gas” assumptions:
– The molecules of the gas have zero volume.
– There are no interactions between gas molecules.
pV = nRT
R = 8.314 L kPa K-1 mol-1
Limitations
– Pressure is about 1 bar or less.
– Temperature is at or above 25°C.
Gas Constant
R=8.314 L kPa K-1 mol-1
R=8.314 m3 Pa K-1 mol-1
R=0.08206 L atm K-1 mol
1 Pa = 1 Nm-2 = 1 kg m-1 s-2 = 1 Jm-3
R=8.314 m3 Pa K-1 mol-1 = 8.314 J K-1 mol-1
Gas Density
pV = (m/M) RT
density = m/V = pM/RT
Partial pressures
the pressure each gas in a mixture would exert if it were the only gas in a container of the same size at the same temperature.
- Dalton’s law of partial pressures:
ptotal = pA + pB + pC + ….
(Where PA, PB, PC are the partial pressures of each component gas)
in a mixture of gases:
p(total) = n (total) (RT/V)
mole fraction (x)
the amount of a particular component in a mixture, divided by the total amount of all components present.
X (A) = n (A) / n (A) + n (B) + n(C)
= n (A) / n (total)
- The partial pressure for one component can then be calculated using:
pA = x(A)p(total)
The Kinetic-Molecular Theory of Gases
- Gases consist of particles. At reasonably low pressures and high temperatures, forces between the particles are negligible.
- The particles of a gas are in continual, random, and rapid motion.
- Gas particles move in straight lines unless they collide with each other or the walls of their container. These collisions take place without loss of the total energy of the system
- The average kinetic energy of gas particles is proportional to the gas temperature. All gases, regardless of their molecular mass, have the same average kinetic energy at the same temperature.
Molecular Speed Depends on the Temperature
- At a given temperature, the most probable speed corresponds to the maximum in the curve.
- As the temperature increases, the most probable speed increases, as does the number of fast-moving molecules.
Kinetic Energy
E(k) = 1/2 (mass)(speed) ^2 = 1/2(m)(u)^2
The average kinetic energy relates to the average speed of a collection of molecules, and is directly proportional to temperature.
E (k) = 3/2 (kT)
u = sqrt (3RT/M)
Gas Relationships
Gas pressure from collisions = total force due to collisions / area
- p is proportional to T when n and V are fixed: p = (nRT/V)
- p is proportional to n when V and T are constant: p = n(RT/V)
- V is proportional to nT when p is constant: V = nT(R/p)
- p is inversely proportional to V when n and T are constant: p = (1/V)(nRT)
Diffusion
the mixing of molecules of two or more gases due to their random molecular motions.
Effusion
the movement of gas through a tiny opening in a container into another container where the pressure is very low.