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FRCA Primary > FRCA Equations > Flashcards

FRCA Equations Flashcards

FRCA Primary

1
Q

Equation for Ohm’s law

A

V = I.R

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2
Q

Equation for power (electrical)

A

Power(W) = VI = I^2.R

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3
Q

Equation for charge (electrical)

A

Q(Coulombs) = I.t (Amps*Seconds)

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4
Q

Equation for capacitance (electrical)

A

C (farads) = Q / V

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5
Q

Equation for stored energy (defibrillator)

A

E (Joules) = 1/2.C.V^2 = 1/2.Q.V

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6
Q

Equation for resistors in series (electrical)

A

R total = R1 + R2 + R3 …

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7
Q

Equation for resistors in parallel (electrical)

A

1/R total = 1/R1 + 1/R2 + 1/R3 …

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8
Q

Equation for Bioavailability

A

Bioavailability = AUC oral / AUC IV (where AUC is area under time-concentration curve)

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9
Q

Value for ‘e’ (Euler’s number)

A

2.718…

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10
Q

Value for 1/e

A

0.37…

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11
Q

Equation for a differential equation of a concentration-time curve (i.e. change in concentration over time)

A

dC/dt ∝ C

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12
Q

Equation for a concentration with a negative exponential relationship

A

dC/dt = -kC
so…
C(t) = C0.e^-kt

Where C=concentration, C0=conc@time0, t=time, k=rate constant

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13
Q

Equation for dissociation constant

A

KD=[D][R]/[DR]

Where D=free drug, R=unoccupied receptors, DR=drug occupied receptors

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14
Q

Laminar flow - Hagen-Poiseuille Equation

A

Q = π.P.r^4 / 8.η.l
OR
Q = π.P.d^4 / 128.η.l
OR
P = Q.(8.η.l / π.P.r^4)

Where Q=flow, P=change in pressure, r=radius, d=diameter, η=viscosity, l=length

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15
Q

Reynolds Number

A

Dimensionless number predicting fluid flow pattern (i.e. laminar vs turbulent)

= v.p.d / η

Where v=fluid velocity, p=change in pressure, d=diameter, η=viscosity

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16
Q

Turbulent flow

A

Q ∝ √P
Q ∝ 1/√l
Q ∝ 1/√p

Q=flow, P=change in pressure, l=length, p=density

17
Q

Bernoulli’s Equation

A

1/2.p.v^2 + P (+pgh) = K

p=density, v=velocity, P=static pressure of fluid at cross section, g=gravity, h=height

18
Q

Absolute humidity

A

The mass of water (grams) per volume of air (m^3)

19
Q

Relative humidity

A

Relative humidity = actual vapour pressure / saturated vapour pressure

The ratio of water vapour present in air relative to the maximum possible for a given temperature.

(ratio of the partial pressure of water vapour in the mixture to the equilibrium vapour pressure of water over a flat surface of pure water at a given temperature)

20
Q

Equation for affinity

A

Affinity = 1 / KD

21
Q

Equation for enzyme kinetics

A

V = Vmax.[S] / Km + [S]

V = initial velocity; Vmax = maximum initial velocity; Km = concentration at which the initial velocity is half the maximal initial velocity; S = substrate

22
Q

Volume of distribution equation

A

Vd = D / C0

Vd = volume of distribution; D = dose; C0 = concentration at time zero.

23
Q

Pharmacokinetic time constant and half time equations

A

T = 1 / Kel

T = Vd / Cl

t1/2 = T.loge(2)

T = time constant; Kel = rate of elimination; Vd = volume of distribution; Cl = clearance.

24
Q

Loading dose and maintenance dose equations

A

Loading dose = Vd.Cp

Maintenance dose = Cp.Cl

Vd = volume of distribution; Cp = plasma concentration; Cl = clearance.

25
Q

Three compartment model equation

A

Cp = A.e^-at + G.e^-gt + B.e-bt

26
Q

Equations for pressure

A

Pressure (Pa) = force (N) / area (m2)

Absolute pressure = gauge pressure + atmospheric pressure

27
Q

Ideal gas laws

A

P.V = K (Boyles)

V / T = K (Charles)

P / T = K (Gay Lussac / 3rd)

P.V / T = K

P.V = n.R.T

P = pressure; V = volume; T = temperature (K); n = number of moles; R = universal gas constant.

28
Q

Energy equations:
Kinetic, Potential, Electrical, Metabolic energy content, Specific heat capacity

A

KE = 1/2.m.v^2
PE = m.g.h
EE = I.V.s
Met energy - multiply energy content per mass by the mass
SHC - Energy per mass per degree of temperature

29
Q

Tension: tube and sphere

A

Tube: P = T / r
Sphere: P = 2T / r

P = pressure gradient; T = tension; r = radius.

30
Q

Work

A

Work = force * distance
J = N.m = kg.m^2 / s^2

31
Q

Linear function

A

y = Mx + c

M = gradient of straight line
c = y axis intercept

32
Q

Lambert- Bouguer law

Beer-Lambert law

A

I = I0.e^-ad

I = transmitted light; I0 = incident light; a = extinction coefficient for the solution; d = thickness.

Absorbance = ε.c.d

ε = molar extinction coefficient; c = molar concentration; d = thickness

33
Q

Variance - standard deviation equation

Standard error of the mean

A

SD = Σ(x-x̄)^2 / (n-1)

SE = SD / √ (n-1)

34
Q

Rate of diffusion

A

Q = Kp.A/T.(C1-C2)

Q = rate of diffusion; Kp = permeability constant (proportional to solubility over molecular weight); A = area of membrane; T = thickness of membrane; C1-C2 = concentration gradient

35
Q

Osmotic pressure

A

π = RTC

π = osmotic pressure; R = universal gas constant; T = absolute temperature; C = osmolality (mosm/kgH20

35
Q

Measurement of fluid compartments

A

Compartment volume = mass of indicator / concentration in compartment

36
Q

Plasma osmolality

A

mosm/kgH20 = 2[Na] + [glucose] + [urea]

FRCA Primary (10 decks)

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