Units, Functional Groups, Equations

Give the equation for final velocity as a function of time, initial velocity, and acceleration:

v = v0 + at

Give the equation for final velocity as a function of displacement, initial velocity, and acceleration:

v^2 = v0^2 + 2aΔx

Give the equation for displacement as a function of time, initial velocity, and acceleration:

Δx = v0·t + ½at^2

Give the equation for centripetal acceleration:

ac = v^2 / r

Give the equation for centripetal force:

Fc = mv^2 / r

Give the equation for initial velocity in the X direction in a projectile motion problem:

v0x = v0·cos(θ)

Give the equation for initial velocity in the Y direction in a projectile motion problem:

v0y = v0·sin(θ)

Give the equation for force as a function of mass and acceleration:

F = ma

Give the equation for Newton's 3rd law of motion:

F(A on B) = −F(B on A)

Give the equation for the force of friction:

f = μN

Give the equation for the force of gravity between two masses:

F = G·m1·m2 / r^2

Give the equation for the force of gravity (weight) as a function of mass and gravitational acceleration:

Fg = mg

Give the equation for torque:

τ = r·F·sin(θ)

Give the equation for work:

W = F·d·cos(θ)

Give the equation for power:

P = W / t

Give the equation for kinetic energy:

KE = ½mv^2

Give the equation for elastic potential energy:

PE = ½kx^2

Give the equation for the potential energy of an object at a certain height:

PE = mgh

Give the equation for the potential gravitational energy between two masses:

PE = −G·m1·m2 / r

Give the equation for the force of gravity on an object that sits on an inclined plane:

Fg,parallel = mg·sin(θ)

Give the equation for the normal force on an object that sits on an incline plane:

N = mg·cos(θ)

Give the equation for the force of friction on an object that sits on an inclined plane:

f = μ·mg·cos(θ)

Give the equation for the change in internal energy of a system:

ΔU = Q + W

Give the equation for the internal energy of an ideal gas system:

U = (3/2)nRT

Give the equation for work done on a gas by an outside force:

W = −PΔV

Give the equation for heat released or absorbed by a system:

q = mcΔT

Give the equation for heat transferred during a phase change:

q = mL

Give the equation for Gibb's free energy as a function of enthalpy, entropy, and temperature:

ΔG = ΔH − TΔS

Give the equation for heat of reaction as a function of product and reactant enthalpies:

ΔH(rxn) = ΣΔH(products) − ΣΔH(reactants)

Give the equation for the ideal gas law:

PV = nRT

Give the Henderson–Hasselbalch equation:

pH = pKa + log([A−]/[HA])

Give the equation for molarity:

M = moles solute / liters solution

Give the equation for molality:

m = moles solute / kg solvent

Give the equation for pH as a function of proton concentration:

pH = −log[H+]

Give the formula for the dilution of a solution:

M1V1 = M2V2

Give the formula for osmotic pressure:

Π = iMRT

Give the equation for freezing point depression:

ΔTf = i·Kf·m

Give the equation for boiling point elevation:

ΔTb = i·Kb·m

Give the equation for mole fraction:

XA = moles of A / total moles

Give the equation for period of a wave:

T = 1 / f

Give the equation for Snell's law:

n1·sin(θ1) = n2·sin(θ2)

Give the formula for index of refraction:

n = c / v

Give the equation for energy of a photon:

E = hf = hc / λ

Give the equation for magnification of a lens:

m = −di / do = hi / ho

Give the thin lens equation:

1/f = 1/do + 1/di

Give the Rydberg formula:

1/λ = R(1/n1^2 − 1/n2^2)

Give the formula for intensity of sound:

I = P / A

Give the equation for the length of a wave in a pipe that has one closed end:

L = nλ/4 (n = 1, 3, 5 …)

Give the equation for the length of a wave in a pipe that has two open ends:

L = nλ/2 (n = 1, 2, 3 …)

Give the equation for the frequency of a beat created by two sound waves that are of different frequency:

f(beat) = |f1 − f2|

Give the equation for the observed frequency during the doppler effect:

f' = f·(v ± v_observer) / (v ∓ v_source)

Give the equation for density:

ρ = m / V

Give the equation for pressure:

P = F / A

Give the equation for pressure in a fluid:

P = P0 + ρgh

Give the equation for buoyant force:

FB = ρ·V·g (ρ_fluid × volume displaced × g)

Give the equation for volumetric flow rate:

Q = A·v (volume / time)

Give the equation for potential energy of a charged particle in an electric field:

PE = qV

Give the equation for the force between two charged particles:

F = k·q1·q2 / r^2

Give the equation for the magnitude of the electric field created by a point charge:

E = kq / r^2

Give the equation for electric potential at a point in space:

V = kq / r

Give the equation for magnetic force of a moving point charge:

F = qvB·sin(θ)

Give the equation for magnetic force of a current carrying wire:

F = BIL·sin(θ)

Give the Ohm's law equation:

V = IR

Give the equation for electric field strength in a capacitor:

E = V / d

Give the equation for charge stored in a capacitor as a function of capacitance and voltage:

Q = CV

Give the equation for capacitance that includes area and distance:

C = ε0·A / d

Give the equation for potential energy of a capacitor:

PE = ½CV^2

Give the equation for cell potential:

E°cell = E°cathode − E°anode

Give the equation for resistance through a material:

R = ρL / A

Give the equation for voltage of an alternating current:

Vrms = Vmax / √2

Give the equation for current when using alternating current:

Irms = Imax / √2

Give the equation for total resistance when the resistors are in series:

Rtotal = R1 + R2 + R3 + …

Give the equation for total resistance when the resistors are in parallel:

1/Rtotal = 1/R1 + 1/R2 + 1/R3 + …

Give the equation for total capacitance when the capacitors are in series:

1/Ctotal = 1/C1 + 1/C2 + 1/C3 + …

Give the equation for total capacitance when the capacitors are in parallel:

Ctotal = C1 + C2 + C3 + …

Avogadro's number =

6.02 x 10^23

Give the value of the gas constant, R:

R = 8.314 J/(mol·K) = 0.0821 L·atm/(mol·K)

Give the value of Planck's constant, h:

h = 6.626 x 10^−34 J·s

The density of water is:

1 g/mL = 1000 kg/m^3

The speed of light in a vacuum is:

c = 3.00 x 10^8 m/s

Faraday's constant is:

F = 96,485 C/mol

The units for Newton are:

kg·m/s^2

The units for Joule are:

kg·m^2/s^2 (= N·m)

The units for Pascal are:

kg/(m·s^2) (= N/m^2)

The units for volt are:

J/C (= W/A)

The units for ohm are:

V/A

The units for amp are:

C/s

The units for Farad are:

C/V

The units for watt are:

J/s

Give the Arrhenius equation:

k = A·e^(−Ea/RT)

The equation related to Hooke's law is:

F = −kx

SI Base Units - Length(L)

Meters (m)

SI Base Units - Mass

Kilogram - Kg

SI Base Units - Time

Seconds(s)

SI Base Units - Current

Ampere (A)

SI Base Units - Temperature

Kelvin(K)

Speed of light - Symbol

c

Speed of light - Value

3.000 * 10^8 m/s

Speed of light - units

m/s

Plank's constant - Symbol

h