MCAT Equations and Units

Electric force (Fe)=

kq1q2/r²

electric field E=

Fe/q, KQ/r², V/d

electric potential energy Ue=

qV, qEd, Kq1q2/r

electric potential V=

U/q

voltage V=

w/q, kQ/r, Ed

current Amps=

Q/t

ohms law

V=IR

Power P=

IV, V²/R, I²R

capacitance C=

Q/V

series capacitors

1/C

energy in capacitors U

1/2QV, 1/2CV², 1/2Q²/C

emf

Ecathode-Eanode

delta G=

-nFEcell

speed of a wave V=

flambda

energy in a wave E=

hc/lambda, hf

period t=

1/f

open pipes

1 L= lambda/2, 2 L= 2lambda/2, 3 L= 3lambda/2

closed pipes

1L= lambda/4, 3L= 3lambda/4, 5L= 5lambda/4

pH=

-log(H)

pOH=

-log(OH)

pH=pka..

pH=pka+log base/acid

keq=

C^c D^d/ A^a B^b

keq>1

more product

keq<1

more reactant

keq=1

equillibrium

pi=

imRT

ka=

H3OA-/HA

kb=

OHB-/BOH

doppler effect f’=

f(v+-vD)/(v-+vS)

intensity=

P/A

intensity log

B=10log(I/Io)

snells law

n1sin1=n2sin2

refractive index

n=c/v

thin lens equation

1/f= 1/do + 1/di

optical power

1/focal

magnification m=

-i/o

ideal gas law

PV=nRT

boyles law

PV=K

charles law

V/T=k

avogadros law

n/V=K

henrys law

C=kP

combined gas law

P1V1/T1 = P2V2/T2

vax kinematics

v²=Vo²+2ax

tav kinematics

vf=vo+at

tax kinematics

x=vot+1/2at²

xvvt kinematics

x= 1/2(vo+vf)t

kinetic energy KE=

1/2mv²

potential energy U=

mgh

potential energy spring

1/2kx²

Energy total

PE+KE

work

Fdcostheta

power mechanics

w/t, E/t

mechanical advantage

Fresis/Feffort

mechanical efficiency

Wout/Win

Force=

ma

Fgrav

Gm1m2/r²

friction

mukFn

pressure

F/A

torque

trFsintheta

centripital force

mv²/r

Centripetal acceleration

v²/r

linear expansion

deltaL=alphaLdeltaT

heat transfer

Q=mcdeltaT

phase change

Q=mL

delta G thermo

deltaH-TdeltaS

std heat of formaton

HProd-Hrxn (bb-bf)

W and P

W=-PdeltaV

internal energy of an ideal gas

U=3/2nRT

density

m/v

hydrostatic pressure

P+rhogh

Fbouy

rhogv

pascals principle

f1/a1=f2/a2

pouiselles law Q=

pi r^4delta P/8nL

flow rate

Q=AV

bernoullis equation

P1+1/2rhov1²+rhogh1=P2 1/2rhov2² + rhogh2

half life

N=No(1/2)^t/thl

beta minus decay

add proton

beta plus decay

subtract proton

alpha decay

-4, -2

unit for frequency breakdown

Hz= 1/seconds

force unit breakdown

N=kgm/s²

energy/work/heat unit

J= Nm= kgm²/s²

power unit

watt= J/s = kgm²/s³

pressure unit

pascal=N/m²= kg/s²m

coulomb unit

AS

volt unit

W/A= J/SA = kgm²/AS³

ohm unit

V/A = Kgm²/A²S³

capacitance unit

farad=C/V = S^4A²/Kgm²

conductance unit

seimans, s³A³/Kgm²

density of water

1000 kg/m³

plancks constant

6.626×10^-34

speed of light

3×10^8

avogadros number

6×10^23

ideal gas constant R

8.314

faraday constant

96485

elementary charge

1.6×10^-19

Eo constant

8.85×10^-12

k constant elctricity

9×10^9

g constant

9.81

G constant

6.67×10^-11