# ENGG 201, Midterm

### 38 terms by vincimus Plus

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### 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.

### All gasses act ideal...

At very low P, very high T

### Partial Pressure of each component of a gas

Pi = YiP, where Yi is mol fraction of that 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)

10 x 10⁻¹⁰m

### Ek = m/2 c²

m - mass
c² - x+y+z velocity squared

### √(c²) = √(3RT/M)

Root Mean Square Velocity (average velocity of gas particles)
R - Universal Gas Constant
T - Temperature
M - Molar Mass

### Boltzmann Constant

k = R/Na = 1.3805x10⁻²³ J/K

### Cmp < C < √(C²)

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

### c = √(8RT/∏M)

Mean Velocity (speed)
R - Universal Gas Constant
M - Molar Mass

### Cmp = root(2RT/M)

Most probable velocity (speed)

### Cv = (∂Q/∂T)v = (3/2) R

Constant Volume Heat Capacity

### Cp = (∂Q/∂T)p = (5/2)R

Constant Pressure Heat Capacity

Cp = Cv + R
Cp/Cv = 1.667

### 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

### μ = (M/Na ∏σ²) √(RT/∏M)

Viscosity

Na - Avogadro's Number (6.022x10²³ mol⁻¹)

6.022x10²³ mol⁻¹

Viscosity

### λ

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

### ρn

Number Density - Molecules/unit volume

ρn = Na/Vm

ρn = P/(KT)

### λ = 1 / (∏σ²√2)(ρn)

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

ρn - Number Density
σ - Collision Diameter

### PVm = Na k T

Ideal gas equation for a mole of ideal gas

### ∂ = (kT/P)¹/³

Mean distance between molecules

∂³ = volume occupied by a molecule

### ∂ = (1/ρn)¹/³

Mean distance between molecules

∂³ = volume occupied by a molecule

### (ρn c)/4

Collisions/unit area

### Flux

Amount of molecules/unit area/unit time

molecules/m² s

### 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!

### Thermal Conductivity

Correlate the transport of heat energy of a substance

### Diffusivity

Correlate the transport of mass within a substance

### 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

### Number Density

ρn = (P Na)/(RT)

Na implied at 1 molecule if not stated

M/Na

M - molar mass

Example: