Properties Of Matter Flashcards
Number of moles equation
n = m / gfm
Ideal gas law
PV = nRT
Root mean square velocity
vrms = root 3PV/nM
vrms = root 3RT/M
What is R?
R = gas constant
R= 8.314
Mean free path
Lambda = V/Pi d^2 N root 2
Lambda = 1/ pi d^2 (N/V) root 2
Real gas equation
(P + a/(v)^2 )(v-b) = RT
Energy in system
🔺E = Q - W
Energy in system conditions
- adiabatic Q=0 🔺E=-W
- constant volume W=0 🔺E = Q
- constant pressure 🔺P=0 W=P🔺V=nR🔺T
- constant temperature🔺T=0 W=nRTln(V1/V2)
- closed cycle 🔺E=0 Q=W
- free expansion Q=W=0 🔺E=0
Kinetic energy of an atom
3/2kT
What is k?
k = R/NA
k= 8.314
What is Q?
Q=nCv🔺T
Q=cm🔺T
What is C?
Cv = f/2 R
Cp = f/2 R + R
Where f is degrees of freedom
What is the power radiated?
Prad = sigma epsilon A T^4
Or EAT^4 sigma
What is the rate of change of heat?
dQ/dt = -kA dT/dy
dQ/dt = -v/n /3 ACv Dt/dy lambda
Where dy= length Where dT =difference in temp Lambda = separation = average speed A= area k= thermal conductivity
What is the equation for thermal conductivity?
k = n/v /3 Cv lambda
What is stress and strain
Stress = sigma = F/A
Strain = epsilon = 🔺l/l
What is Young’s modulus and what is the equation for it?
Young’s modulus = E
sigma = epsilon E
🔺l = F/AE l
🔺U/V = 1/2 E epsilon^2
What is the equation for potential?
🔺U = 1/2 F 🔺l
Equations for force in an electric field?
F=sinx qvB
F= qE
Where E= electric field
What is the charge to mass ratio equation?
q/m = v/rB
What is the equation for charge?
Q=It
What is the conversion for 1 faraday?
1 faraday = 96,500C = charge of 1 mole of electrons
What is the equation for x rays?
Root lambda o/ lambda i = (zi-1)/(zo-1)
Where lambda o is the cut of wavelength
What is the frequency z equation?
Root f = a(z-1)
Root f is proportional to (z-1)
a is a constant
What is the equation for half life?
t1/2 = ln2/lambda
Lambda is a decay constant
t1/2 = No/2
What is the decay rate eauatiob and how do we derive it?
Start with dN= -lambda dt N
Integrate with limits N and No with respect to
To get N= Noe^ -lambda t
