MCAT Formulae


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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
v = u + 2as
s = ut + at


F = ma


F = Gm1m2/r2


a = v2/r


Static friction = FN mS


Dynamic friction = FN mD


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 = mv2


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 (k/m)


T = 2p (l/g)


r = m/V


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


Hydrostatic pressure = rgh


r1A1v1 = r2A2v2


P1 + rgh1 + rv12 = P2 + rgh2 + rv22


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


v (T/mw)


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


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


dB = 10log10(I/10-12)


Beat frequency = difference between the two frequencies


f' = f(CVd / CVs)


F = kq1q2/r


E = F/q


Between two parallel plates, E = V/d
Concerning a point charge, E = kq/r


V = Fd/q


V = IR


For resistors in series, RT = R1 + R2 + R3 + ...


For resistors in parallel, 1/RT = 1/R1 + 1/R2 + 1/R3 + ...


Resistivity = RA/l


C = q/V = permitivity x A/d


For capacitors in series, 1/CT = 1/C1 + 1/C2 + 1/C3 + ...


For capacitors in parallel, CT = C1 + C2 + C3 + ...


P = IV


If a.c., P = (Imax/2) (Vmax/2) = Imax Vmax/2


n1sin i = n2sin 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/f1 + 1/f2


E = hf


At = Aoe-kt


t = ln2/k


General Chemistry


Number of moles = mass in grams / molecular weight


PV = nRT


KE T


v (T/mw)


PT = P1 + P2 + P3 + ...


P = mole fraction of solvent x Po


DP = mole fraction of solute x Po


DTBP = kb (molality of solute particles)


DTFP = -kf (molality of solute particles)


Osmotic Pressure = RT [molarity of solute particles]


pH = -log10[H+]


pOH = -log10[OH-]


Kw = [H+] [OH-] = 10-14 (at 25oC)


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


pKa = -log10Ka


Kb = [HA] [OH-] / [A-]


pKb = -log10Kb


Ka Kb = 10-14


pKa + pKb = pKw = 14


pH = pKa + log10[A-]/[HA]


DE = q - w


DG = DH - TDS


DG = DG + RTlnQ


Keq = eDG/-RT


Reaction Order dA/dt Integrated Forms
0 dA/dt = k At = A0 - kt
1 dA/dt = kA At = A0e-kt
2 dA/dt = kA2 1/At = (1/A0) + kt


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


Keq = enFE/RT


DG = -nFE


Biology


p2 + 2pq + q2 = 1



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