## MCAT Formulae

Free PDF Download: MCATPrep.com's Formulas for the MCAT!

This list may not be exhaustive. Examinees should understand these formulae. Not all of them need to be memorized though. Judgement should be used in deciding which to memorize.

## Physics

v = u + at

v² = u² + 2as

s = ut + ½at²

F = ma

F = Gm_{1}m_{2}/r^{2}

a = v^{2}/r

Static friction = F_{N} m_{S}

Dynamic friction =
F_{N} m_{D}

MA = load/effort = number of supporting ropes in a frictionless pulley system

VR = distance moved by effort / distance moved by load = number of supporting ropes

Efficiency = work out / work in

Moment = F x perpendicular distance to pivot point

Momentum = mv

Smv before collision = Smv after collision

Impulse = Ft

PE = mgh

KE = ½mv^{2}

Work done = Fd

Power = Fd/t

Dl = kF

Y = stress / strain = (F/A) / (Dl/l)

S = stress / strain = (perpendicular F/A) / (Dx/l)

B = stress / strain = DP / (DV/V)

f µ Ö (k/m)

T = 2p Ö (l/g)

r = m/V

Upward force on a body = weight of fluid displaced by that body

Hydrostatic pressure = rgh

r_{1}A_{1}v_{1} = r_{2}A_{2}v_{2}

P_{1} + rgh_{1} + ½rv_{1}^{2} = P_{2} + rgh_{2} + ½rv_{2}^{2}

Velocity of sound in a fluid, v = Ö (B/r)

v µ Ö (T/mw)

Velocity of sound in a solid = Ö (Y/r)

Velocity of a wave in a taut string = Ö (tension/[mass/length])

dB = 10log_{10}(I/10^{-12})

Beat frequency = difference between the two frequencies

f' = f(C±Vd / C±Vs)

F = kq_{1}q_{2}/r²

E = F/q

Between two parallel plates, E = V/d

Concerning a point charge, E = kq/r²

V = Fd/q

V = IR

For resistors in series, R_{T} = R_{1} + R_{2} + R_{3} + ...

For resistors in parallel, 1/R_{T} = 1/R_{1} + 1/R_{2} + 1/R_{3} + ...

Resistivity = RA/l

C = q/V = permitivity x A/d

For capacitors in series, 1/C_{T} = 1/C_{1} + 1/C_{2} + 1/C_{3} + ...

For capacitors in parallel, C_{T} = C_{1} + C_{2} + C_{3} + ...

P = IV

If a.c., P = (I_{max}/Ö2) (V_{max}/Ö2) = I_{max} V_{max}/2

n_{1}sin i = n_{2}sin r

1/f = 1/u + 1/v

Lens power = 1/f where f is the focal length in m. Lens power is measured in diopters.

Two lenses in contact: 1/F = 1/f_{1} + 1/f_{2}

E = hf

A_{t} = A_{o}e^{-kt}

t½ = ln2/k

## General Chemistry

Number of moles = mass in grams / molecular weight

PV = nRT

KE µ T

v µ Ö(T/mw)

P_{T} = P_{1} + P_{2} + P_{3} + ...

P = mole fraction of solvent x Po

DP = mole fraction of solute x Po

DT_{BP} = k_{b} (molality of solute particles)

DT_{FP} = -k_{f} (molality of solute particles)

Osmotic Pressure = RT [molarity of solute particles]

pH = -log_{10}[H^{+}]

pOH = -log_{10}[OH^{-}]

K_{w} = [H^{+}] [OH^{-}] = 10^{-14} (at 25^{o}C)

K_{a} = [H^{+}] [A^{-}] / [HA]

pK_{a} = -log_{10}K_{a}

K_{b} = [HA] [OH^{-}] / [A^{-}]

pK_{b} = -log_{10}K_{b}

K_{a} K_{b} = 10^{-14}

pK_{a} + pK_{b} = pK_{w} = 14

pH = pK_{a} + log_{10}[A^{-}]/[HA]

DE = q - w

DG = DH - TDS

DG = DG° + RTlnQ

K_{eq} = e^{DG°/-RT}

Reaction Order |
dA/dt |
Integrated Forms |

0 | dA/dt = k | A_{t} = A_{0} - kt |

1 | dA/dt = kA | A_{t} = A_{0}e^{-kt} |

2 | dA/dt = kA^{2} |
1/A_{t} = (1/A_{0}) + kt |

E = E° - (RT/nF)lnQ = E° - (0.026/n)lnQ

K_{eq} = e^{nFE°/RT}

DG° = -nFE°

## Biology

p^{2} + 2pq + q^{2} = 1