MUST KNOW FORMULAS Flashcards
how many mL in 1 tsp
5mL
how many mL in 1 tbsp
15mL
how many mL in 1 fl oz
30 mL (approx), 29.57 mL (actual)
how many oz & mL in 1 cup
8 oz = 240 mL (approx), 236.56 mL (actual)
how many oz & mL in 1 pint
16 oz = 480 mL (approx), 473 mL (actual)
how many mL in 1 quart
2 pints = 960 mL (approx), 946 mL (actual)
how many mL in 1 gallon
4 quarts = 3840 mL approx), 3785 mL (actual)
how many pounds in 1 kg
2.2 lb
how many grams in 1 oz
28.4 g
how many grams in 1 pound
454 g
how many mg in 1 grain
65 mg (approx), 64.8 (actual)
mEq to mmol for monovalent ions
1:1
mEq to mmol for divalent ions
1:0.5
how many cm in 1 in
2.54 cm
how many cm in 1 m
100 cm
CBC fish bone diagram
going zigzag left to right: WBC, Hgb, Hct, Plt
BMP fish bone diagram
going zigzag left to right: Na, K, Cl, HCO3, BUN, SCr, Glucose
%w/v
X g / 100mL
%v/v
X mL / 100mL
%w/w
X g / 100g
percentage strength formula
percentage strength = 100 / ratio strength
ratio strength formula
ratio strength = 100 / percentage strength
PPM to percentage strength formula
move decimal left 4 places
percentage strength to PPM formula
move decimal right 4 places
specific gravity formula
SG = weight of substance (g) / weight of equal volume of water (g)
SG = g/mL
dilution & concentration formula
- for changing strength or quantity
Q1C1 = Q2C2
alligation formula
*use proportions to calculate amount of high% and/or low% required
osmolarity formula
mOSmol/L = [weight of substance (g/L) / MW (g/mole) ] * (# of particles) * 1000
isotonicity formula
E = [(58.5) * (i) ] / [(MW of drug)*(1.8)]
moles formula
mols = g / MW
millimoles formula
mmol = mg / MW
milliequivalents formula
mEq = (mg * valence) / MW
mEq = mmols * valence
enteral nutrition calories for protein
4 kcal/g
enteral nutrition calories for carbs
4 kcal/g
enteral nutrition calories for fats
9 kcal/g
parenteral nutrition calories for proteins
4 kcal/g
parenteral nutrition calories for dextrose
3.4 kcal/g
parenteral nutrition calories for lipids
ILE 10% = 1.1 kcal/mL
ILE 20% = 2 kcal/mL
ILE 30% = 3 kcal/mL
determining fluid needs formula
when weight >20kg: 1500mL + (20mL)(weight in kg - 20)
*can estimate using 30-40 mL/kg/day (TBW)
total energy expenditure formula
TEE = BEE * activity factor * stress factor
grams of nitrogen from protein
nitrogen (g) = protein intake (g) / 6.25
corrected calcium for albumin <3.5
*not needed for ionized Ca
Ca corrected (mg/dL) = serum Ca + 0.8(4 - albumin)
BMI formula
BMI (kg/m2) = weight (kg) / [height (m)]^2
BMI = [weight (lbs)] / [height (in)]^2] * 703
underweight BMI
<18
normal BMI
18.5-24.9
overweight BMI
25-29.9
obese BMI
≥30
IBW formula
IBW (males) = 50kg + 2.3(# in >5 ft)
IBW (females) = 45.5kg + 2.3(# in >5 ft)
adjusted body weight formula
AdjBW = IBW + 0.4(TBW-IBW)
weight to use for all drugs (if underweight)
TBW
weight to use for most drugs (if normal weight or obese)
TBW
*LMWH, UFH, vanco
weight to use for acyclovir, aminophylline, levothyroxine
IBW
weight to use for theophylline (normal weight, obese)
IBW
weight to use for AMGs (obese)
AdjBW
flow rates/drop factor (drops/min) formula
(#drops/mL) * (mL/hr) * (hr/60 min) = #drops/min
dehydration formula
BUN:SCR >20:1
cockcroft-gault equation
CrCl (mL/min) = [[(140-age) * weight (kg)] / (72 * SCr)]
- x0.85 if female
ABG formula
ABG: pH/pCO2/pO2/HCO3/O2 sat
steps to determining acidosis/alkalosis
- pH <7.35 = acidosis & pH >7.45 = alkalosis
- respiratory: pCO2 <35 = alkalosis & pCO2 >45 = acidosis || metabolic: HCO3 >26 = alkalosis, HCO3 <22 = acidosis
- look at abnormalities & determine
anion gap formula
AG = Na - Cl - HCO3
weak acid formula
pH = pKa + log[salt/acid]
weak base formula
pH = pKa + log[base/salt]
weak acid percent ionization
% ionization = 100 / [1 + 10^(pKa-pH)]
weak base percent ionization
% ionization = 100 / [1 + 10^(pH-pKa)]
ANC formula
ANC (cells/mm3) = WBC * [(%segs + %bands)/100]
neutropenia classification
2200-8000 = normal
<1000 = neutropenia
<500 = severe
<100 = profound
F to C formula
C = (F - 32) / 1.8
C to F formula
F = (C * 1.8) + 32
time to burn formula
TTB (with sunscreen in min_ = SPF * TTB (without sunscreen)
how much elemental calcium in calcium carbonate?
40% elemental calcium
how much elemental calcium in calcium citrate
21% elemental calcium
how much elemental calcium in calcium acetate
25% elemental Ca
*used as phosphate binder, not Ca supplementation
mean
average value
median
value in the middle of an ordered list
mode
value that occurs most frequently
risk formula
risk = # subjects in group w/ unfavorable event / total # subjects
relative risk formula
RR = risk in treatment group / risk in control group
relative risk reduction formula
RRR = (%risk in control group - %risk in treatment group) / %risk in control group
absolute risk reduction formula
ARR = (%risk in control group ) - (%risk in treatment group)
number needed to treat formula
NNT = 1 / ARR (decimal)
*ALWAYS ROUND UP
number needed to harm formula
NNH = 1 / ARR (decimal)
*ALWAYS ROUND DOWN
odds ratio formula
OR = AD/BC
A = outcome present & exposure present
B = outcome absent * exposure present
C = outcome present & exposure absent
D = outcome absent & exposure absent
hazard ratio formula
HR = hazard rate in treatment group / hazard rate in control group
incremental cost-effective ratio
ICR = (C2 - C1) / (E2 - E1)
C = costs
E = effects
pack year smoking history formula
pack-year smoking history = cig packs/day * years smoked
how to initiate basal-bolus insulin in type 1 diabetes
- calculate TDD of 0.5 units/kg/day with TBW
- divide into 1/2 basal & 1/2 rapid acting; if using NPH/R, use 2/3 & 1/3
- split rapid-acting among meals
which rules do we use for regular insulin
ICR rule of 450
CF rule of 1500
which rules do we use for rapid-acting insulin
ICR rule of 500
CF rule of 1800
insulin-to-carb ratio: rule of 450 formula
450 / TDD = grams of carb covered by 1 unit of REGULAR insulin
insulin-to-carb ratio: rule of 500 formula
500 / TDD = grams of carb covered by 1 unit of RAPID-ACTING insulin
correction factor: 1500 rule
1500 / TDD = correction factor for 1 unit of REGULAR insulin
correction factor: 1800 rule
1800 / TDD = correction factor for 1 unit of RAPID-ACTING insulin
correction dose formula
(current BG - target BG) / correction factor = correction dose
friedewald equation
LDL = TC - HDL - (TG/5)
- DNU if TG >400!!
minimum weighable quantity formula
MWQ = sensitivity requirement / acceptable error rate (usually 0.05)
Mosteller BSA formula
BSA (m2) = sqrt [(ht in cm * wt in kg) / 3600]
bioavailability formula
F(%) = 100 * (AUCextravascular / AUCintravenous) * (Doseintravenous / Doseextravascular)
volume of distribution formula
Vd = amount of drug in body / concentration of drug in plasma
clearance formula
Cl = (F * dose) / AUC
Cl = ke * Vd
elimination rate constant formula
ke = Cl / Vd
predicting drug concs formula
C2 = C1 * e^(-kt)
ke = [ln (C1/C2)] / t
half-life formula
t1/2 = 0.693 / Ke
loading dose formula
LD = (desired concentration * Vd) / F
mean arterial pressure
MAP = [(2 * DBP) + SBP] / 3
phenytoin correction formula for albumin <3.5
corrected PHT (mcg/mL) = serum PHT / [(0.2 * albumin) + 0.1]
conversion of KCl PO sol to tabs
KCl 10% = 20 mEq/15 mL
conversion of aminophylline to theophylline
A * 0.8 = T
conversions of statins
pitavastatin 2mg
rosuvastatin 5mg
atorvastatin 10mg
simvastatin 20mg
lovastatin 40mg
pravastatin 40mg
fluvastatin 80mg
opioid conversions
morphine: 10mg (IV) = 30mg (PO)
hydromorphone: 1.5mg (IV) = 7.5mg (PO)
oxydocone: no IV = 20mg (PO)
IV to PO - metoprolol
IV:PO = 1:2.5
conversions of loop diuretics
ethacrynic acid 50mg
furosemide 40mg
torsemide 20mg
bumetanide 1mg
IV to PO - furosemide
IV:PO = 1:2
IV to PO - other loop diuretics
IV:PO = 1:1
how much elemental iron is in ferrous sulfate
20% elemental iron
conversion of insulins
usually 1:1
NPH BID -> glargine QD = use 80% of NPH dose
toujeo -> other glargine or detemir = use 80% of Toujeo dose
IV to PO - levothyroxine
IV:PO = 0.75:1
conversion of steroids
cortisone 25mg
hydrocortisone 20mg
prednisone 5mg
prednisolone 5mg
methylprednisolone 4mg
triamcinolone 4mg
dexamethasone 0.75mg
betamethasone 0.6mg
conversion of lithium
5mL lithium citrate syrup = 300mg lithium carbonate = 8mEq Li+ ion
age classification
neonate = 0-28 days
infant = 1-12 months
toddler = 1-2 years
child = 2-12 years
adolescent = 13-18 years