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MCAT Equations
MCAT Equations
109
Health Care
Graduate
01/18/2014

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Cards

Term

Velocity Vectors

X = 

Y = 

Definition

Velocity Vectors

X = V cosθ

Y = V sinθ

Term

Kinematic Equations

V = 

ΔX =

2

Definition

Kinematic Equations

V = V0 + at

ΔX = V0t + at2/2

2= V02 + 2aΔX

Term

Torque

τ

Definition

Torque

τ= rF sinθ

Term

Centripetal Motion

 

F = 

 

a =

Definition

Centripetal Motion

 

F = mV2/r

 

a = V2/r

Term

Noconserv. Forces

W =     

Definition

Noconserv. Forces

W =   ΔE  = ΔK + ΔU

Term

Work

W = 

Definition

Work

W = Fd cosθ

Term

Work/Energy Theorem

W = 

Definition

Work/Energy Theorem

W = ΔKE

Term

Momentum

p = 

Definition

Momentum

p = mV

Term

Impulse

I =    

Definition

Impulse

I =  FΔt  = Δp

Term

Electrostatic Force

F = 

 

Definition

Electrostatic Force

F = Kq1q2/r2

 

Term

Electric Field Mag

E =   

Definition

Electric Field Mag

E = F/q0  = Kq/r2

Term

Electric Potent. Energy

U =  = 

Definition

Electric Potent. Energy

U = KqQ/r = Vq0

Term

Electric Potential

V =  =  = 

Definition

Electric Potential

V = W/q0 = Kq/r = Ed

Term

 

Electric Potential

Near Dipole

 

V = 

P =

Definition

 

Electric Potential

Near Dipole

 

V = [KP/r2] cosθ

P = qd

Term

E-Field Perpendicular Bisector

E = 

Definition

E-Field Perpendicular Bisector

E = KP/r3

Term

Torque on Dipole via E-Field

τ = 

Definition

Torque on Dipole via E-Field

τ = pE sinθ

Term

Force Moving Charge

F = 

Definition

Force Moving Charge

F = qvβ sinθ

Term

Centripetal Mag Force

F =


V = 

Definition

Centripetal Mag Force

F = mV2/r


V = qrβ/m

Term

Resistance

 

R = 

Definition

Resistance

 

R = ρ L/A

Term

Ohm’s Law

V = 


ε = 

Definition

Ohm’s Law

V = iR


ε = iR + ir

Term

Power in Circuit

P = 

Definition

Power in Circuit

P = iV

Term

Power Diss. by Resist.

 

P = =

Definition

Power Diss. by Resist.

 

P = i2R = V2/R

Term

Resistors in Parallel

 

Rp

Definition

Resistors in Parallel

 

Rp = 1/R1 + 1/R2

Term

Capacitance

 

C =   = 

 

E = 

Definition

Capacitance

 

C =  Q/V = Kε0 (A/d)

 

E = V/d

Term

 

PE Capacitor

U = 

Definition

 

PE Capacitor

U = ½ CV2

Term

Capacitor Series

 

Cs

Definition

Capacitor Series

 

Cs= 1/C1 + 1/C2

Term

RMS

Irms


Vrms

Definition

RMS

Irms = Imax / √2


Vrms = Vmax / √2

Term

Rest Force on Spring

 

F = 

 

Definition

Rest Force on Spring

 

F = - kΔx

 

Term

Spring Acceleration

a = 


ω =  =  =

Definition

Spring Acceleration

a = - ω2x


ω = 2πF = √k/m =2π/T

Term

Potential Energy in a Spring

 

U = 

Definition

 

 

U = ½ kx2

Term

KE in a Spring


K = 

 

Definition

KE in a Spring



K = ½ mv2

 

Term

Rest. Force Pendulum



F = 

Definition

Rest. Force Pendulum



F = - mgSinθ

Term

Ang. Freq. Pendulum

 

ω =  =   

 

Definition

Ang. Freq. Pendulum

 

ω =  2πF = √g/L   

 

Term

Wave Speed

 

V =   =  = 

 

Definition

Wave Speed

 

V =  Fλ =  w/k = λ/T

 

Term

Sound Intensity

 

I = 

Definition

Sound Intensity

 

I = Power/Area

Term

Sound Level



β = 


βf

 

Definition

Sound Level



β = 10 log[I/I0]


βf = βi + 10 log[If/Ii]

 

Term

Beat Frequency



Fbeat

Definition

Beat Frequency



Fbeat = [F1 – F2]

Term

Doppler Effect



F’ = 

Definition

Doppler Effect



F’ = F [ V±Vd/V±Vs]

Term

String Harmonics/Open Pipes



 

λ =         F = 

Definition

String Harmonics/Open Pipes

 

λ = 2L/n   F = nV/2L

Term

Closed Pipes

 

λ =            F =  

Definition

Closed Pipes

 

λ = 4L/n     F = nV/4L

Term

Thermal Expansion



ΔL = 

ΔV =   β = 

Definition

Thermal Expansion

 

ΔL = αLΔT


ΔV = βVΔT  β = 3α

Term

Total Internal Energy



ΔU = 


U = 

Definition

Total Internal Energy



ΔU = Q -W


U = [3/2]nRT

Term

Heat Transfer



Q = 

Definition

Heat Transfer



Q = mcΔT

Term

Phase Change



Q = 

Definition

Phase Change



Q = mL

Term

 

Work (P&V)



W =

Definition

 

Work (P&V)



W = PΔV

Term

Entropy

 

ΔS =      =       

Definition

Entropy

 

ΔS = Q/T = L (m/T)       

Term

Density



ρ

Definition

Density



ρ = m/v

Term

Pressure


 

P = 

Definition

Pressure

 

 

P = F/A

Term

Absolute Pressure



P =

 

Definition

 

Absolute Pressure



P = P0 + ρgh

 

Term

Pascal’s Principle

 

P =  = 

 

V =  = 

 

W =  

Definition

Pascal’s Principle

 

P =  F1/A1 = F2/A2

 

V = A1d1 = A2d2 

 

W =  F1d1 = F2d2

Term

Buoyant Force



Fbuoy 

Definition

Buoyant Force



Fbuoy  = ρVg

Term

Critical Velocity in a Tube

 

Vc

Definition

Critical Velocity Tube

 

Vc = NRn/ρD

Term

Fluid Continuity



V1A1

Definition

Fluid Continuity



V1A1 = V2A2    

Term

Bernoulli’s Equation


 

Definition

Bernoulli’s Equation

 

 

P1 + ρv12/2 + ρgy1 = P2 + ρv22/2 + ρgy2

Term

Young’s Modulus

 

 

Y =

 

Definition

Young’s Modulus

 

 

Y =[FA]/[ΔL/L]

 

Term

Shear Modulus


 

S =

Definition

Shear Modulus

 


S =[FA]/[x/h]

Term

Bulk Modulus

 

 

B =

 

Definition

Bulk Modulus


 

B =[FA]/[ΔV/V]

 

Term

Mirror Equation



 

     =            =

Definition

Mirror Equation

 



     1/o + 1/I = 1/f = 2/r

Term

Magnification



M = 

Definition

Magnification



M = - i/o

 

Term

Snell’s Law



           

                            Θcritical

Definition

Snell’s Law



n1 sinθ1= n2 sinθ2

 

Θcritical = Sin-1 n2/n1

Term

Lens Power

 

 

P = 

Definition

Lens Power

 

 

P = 1/f

Term

Lenses in Contact



M =

Definition

Lenses in Contact



M = m1*m2*m3

Term

Not in Contact

 

 

1/f =

 

P = 

Definition

Not in Contact

 

1/f = 1/f+ 1/f2 +1/f

 

P = P1 + P2 + P3

Term

Lensmaker EQ (Thick)

 

1/f= 

Definition

Lensmaker EQ (Thick)


 

1/f= (n-1) (1/r1 – 1/r2)

Term

Energy of Photon



E = hf

Definition

Energy of Photon



E = hf

Term

Max KE Ejected e-



Kmax

W =

Definition

Max KE Ejected e-



Kmax = hf - W

W = hft

Term

Angular Momentum e-

L =        = 

Definition

Angular Momentum e-

L = nh/2π = mvr

Term

Energy of e -

 

 

E =         =      

Definition

Energy of e -

 

 

E = -Rh/n2 =-13.6eV/n2

Term

Exponential Decay



n = 

 

λ

Definition

Exponential Decay



n = n0 e- λt

 

λ = 0.7/t1/2

Term

KE Gas Particle



KE = 

Definition

KE Gas Particle



KE = 3/2 KT

Term

RMS Speed



μrms

Definition

RMS Speed



μrms= 3RT/m

Term

Rate Effus/Diffusion

 

r1/r2

Definition

Rate Effus/Diffusion

 

 

r1/r2√μ2/μ1

Term

Gas Density


d = 

Definition

Gas Density



d = m/V2

Term

Gas Molar Mass



 

M = 

Definition

Gas Molar Mass



 

M = (dSTP)(VSTP)

Term

Boyle’s Law



P1V1

Definition

Boyle’s Law



P1V1 = P2V2

Term

Charles’ Law

 

V1/T1 

Definition

Charles’ Law

 

 

V1/T1 = V2/T2

Term

Collision Theory Rate



Rate = 

Definition

Collision Theory Rate




Rate = fZ

 

Term

Enthalpy



ΔHrxn =

Definition

Enthalpy



ΔHrxn = Hprod - Hreact

Term

Bond Dissoc. Energy



ΔH°rxn

Definition

Bond Dissoc. Energy



 

ΔH°rxn = ΔHbrkn + ΔHfrmd

Term

ΔS°rxn

Definition
ΔS°rxn = ΔSprod - ΔSreact
Term

Gibbs Free Energy

 

ΔG = 

 

ΔG°rxn = 

 

 

Definition

Gibbs Free Energy

 

ΔG = ΔH - TΔS

 

ΔG°rxn = ΔG°prod - ΔG°reac

 

 

Term

ΔG°rxn  (Keq)=

 

ΔG°rxn (Keq & Q)

 

 

ΔG (ΔG° Q) =

Definition

ΔG°rxn  (Keq)= -RT lnKeq

 

ΔG°rxn (Keq & Q)= RT ln (Q/Keq)

 

 

ΔG (ΔG° Q) =ΔG°+RT lnQ

Term

Gibbs Phase Fn @ Eq



G (liq.) =

Definition

Gibbs Phase Fn @ Eq



G (liq.) = G (s)

Term

Raoult’s Law

 

PA

 

ΔP = 

Definition

Raoult’s Law


PA = XAPo

ΔP = XBPo

Term

FP & BP Elevation


ΔTb

 

ΔTf

 

Definition

FP & BP Elevation


ΔTb = iKbm

 

ΔTf = iKfm

 

 

Term

Osmotic Pressure



Π

Definition

Osmotic Pressure



Π = imRT

 

Term

Dilution



MiVi

Definition

Dilution



MiVi = MfVf

Term

Solubility Prod. Const.



ABè

 

Ksp

Definition

Solubility Prod. Const.



ABèxA+yB

 

 

Ksp = [A]x[B]y

Term

H2O Diss. Cnst @ 298K


Kw =            =

Definition

H2O Diss. Cnst @ 298K


 

Kw =[H3O+][OH-] =10-14

Term

pH

pH =                       =

Definition



pH = - log [H+] =log 1/[H+]

Term

pOH

pOH =                     

Definition

pOH

 

pOH = - log [OH-]  = log 1/[OH-]

Term

Acid Dissoc. Constant


K=


Definition

Acid Dissoc. Constant

 


K= [H+][A-]/[HA]


Term

Base Dissoc. Constant

 


Kb 


Definition

Base Dissoc. Constant

 


Kb = [OH-][B+]/[BOH]


Term

Titration


NaVa

Definition

Titration


NaVa = NbVb

Term

Henderson-Hasslebach

pH = 

pOH = 

Definition

Henderson-Hasslebach

pH = pKa + log c. base/w. acid

 

pOH= pKb + log c. acid/w. base

Term

Faraday’s Equation


 

F = 

Definition

Faraday’s Equation


it = nf

F = 105  C/mol e-

Term

EMF

Emf ° =

ΔG = 

Definition

EMF

Emf ° =E°cathode-E°andode

ΔG = - nf E°cell

Term

Nernst Equation

Ecell =

Definition

Nernst Equation

 

Ecell = E°cell -(RT/nf) ln Q

Term

Specific Rotation

 

[α] = 

Definition

Specific Rotation

 

[α] = α observed/ conc'n*length

Term

Rate of SN1

Rate =

Definition

Rate of SN1

Rate = [RL]

Term

Rate of SN2

Rate = 

Definition

Rate of SN2

Rate = [RL][Nuc:]

Term

Electrophoresis Migratory velocity

 

 

V = 

Definition

Electrophoresis Migratory velocity

 

 

 

V = EZ/f

Term

Hardy-Weinberg EQ



= 1


= 1

Definition

Hardy-Weinberg EQ



P2+2pq+q2 = 1


 

P + q = 1

Term

Diffraction Min/Max

 

=

Definition

Diffraction Min/Max

 

a Sinθ = nλ

Term

Gauge Pressure


 

Pg=

Definition

Gauge Pressure


 

 

Pg= P - Patm

Term

Magnetic Field

 

β(long straight wire)

 

β(center loop)=

Definition

Magnetic Field

 

β(long straight wire)μi/2πr

 

 

β(center loop)μi/2r

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