HP 50g Graphing, 48gII Graphing manual Heat Transfer, Kinetic Theory 5

Kinetic Theory (5, 8)

These equations describe properties of an ideal gas.

Equations:

P =	n ⋅ MW ⋅ vrms2
	--------------------------------------3 ⋅ V
λ =		1
	---------------------------------------------------	 n ⋅ NA
	2 ⋅ π ⋅				⋅ d	2
		 ----------------	V	

vrms =	3-------------------⋅ R ⋅ T
	MW

m = n ⋅ MW

Example:

Given: P=100_kPa, V=2_1, T=26.85_°C, MW=18_g/gmol, d=2.5_nm.

Solution: vrms=644.7678_m/s, m=1.4433E–3_kg, n=0.0802_gmol, λ=1.4916_nm.

Heat Transfer (6)

Variable Description

αExpansion coefficient

δElongation

λ1, λ2	Lower and upper wavelength limits
λmax	Wavelength of maximum emissive power

TTemperature difference

AArea

cSpecific heat

eb12	Emissive power in the range λ1 to λ2
eb	Total emissive power

fFraction of emissive power in the range λ1 to λ2

h, h1,h3 Convective heattransfer coefficient

k, k1, k2, k3	Thermal conductivity
L, L1, L2, L3	Length

mMass

QHeat capacity

qHeat transfer rate

TTemperature

Tc	Cold surface temperature (Conduction), or
	Cold fluid temperature
Th	Hot surface temperature, or
	Hot fluid temperature (Conduction + Convection)
Ti, Tf	Initial and final temperature

UOverall heat transfer coefficient

References: 7, 9.

528 Equation Reference