### Terms in PVm = RT

P - Pressure

Vm - Molar Volume (v/n)

R - Universal Gas Constant (8.314 J/molK)

T - Temperature

### Dalton's Law

Total pressure in a vessel equals sum of pressures that the gases exert in other vessels.

### Amagat's Law

At constant T and P total volume of a gas is equal to volume of each component of the gas.

### Average Molar Mass of Gas

Sum of YiMi, where Yi is mol fraction of component and Mi is molar mass of component

### Balance Equation

Accumulation = Input + Generation - Output (Input = Output when CV, no chemical reaction)

### √(c²) = √(3RT/M)

Root Mean Square Velocity (average velocity of gas particles)

R - Universal Gas Constant

T - Temperature

M - Molar Mass

### Cmp < C < √(C²)

Always check: Most probably velocity < Mean Velocity < Root Mean Square Velocity

### λ = (kT) / (∏σ²P√2)

Mean Free Path (λ) - Average distance molecule travels between two successive collisions

σ - collision diameter

k - Boltzmann Constant (1.3805x10⁻²³ J/K or (kg.m²/s²)/K

### σ

Collision Diameter - Distance between centers of two colliding molecules at which point repulsive forces become large enough to reverse motion.

### λ = μ/P √(∏RT/2M)

Mean Free Path (λ) - Average distance molecule travels between two successive collisions

μ - Viscosity

### λ = 1 / (∏σ²√2)(ρn)

Mean Free Path (λ) - Average distance molecule travels between two successive collisions

ρn - Number Density

σ - Collision Diameter

### Viscosity

μ - The resistance to deformation or resistance to flow exhibited by a fluid.

Measure of transfer of momentum of a substance.

μ is a constant coefficient of viscosity for a substance.

Viscosity is ONLY a function of T, not P!

### κ = μ(Cv/M)

Thermal conductivity

κ - Proportionality constant for thermal conductivity

Cv - Molar heat capacity

μ - Viscosity

### Dab = [(RT)/(P Na ∏ σ²)]√(RT/∏M)

Molecular Diffusion - Diffusivity

Net transport of a substance from one region to another within a single phase, in absence of bulk movement or agitation.

Dab - Diffusion Coefficient

σ - Collision Diameter