Required Formulas Flashcards
1 tsp = ___ mL
5 mL
1 tbsp = ___ mL
15 mL
1 fl oz = ___ mL
30 mL
1 cup = ___oz
8 oz
1 pint = ___ oz
16 oz
1 quart = ___ pints
2 pints
1 gallon = ___ quarts
4 quarts
1 kg = ___ lbs
2.2 lbs
1 oz = ___ g
28.4 g
1 lb = ___ g
454 g
1 grain = ___ mg
65 mg
mEq to mmol for monovalent and divalent ions
1:1 for monovalent
1:0.5 for divalent
1 inch = ___ cm
2.54 cm
1 meter = ___ cm
100 cm
% w/v equation
X g/100mL
% v/v equation
X mL/100mL
% w/w equation
X g/100g
Percentage strength equation
100/ratio strength
Ratio strength equation
100/percentage strength
PPM –> percentage strength
move decimal LEFT 4 places
Percentage strength –> PPM
move decimal RIGHT 4 places
Specific gravity equation
weight of substance (g)/weight of equal volume of water (g)
OR
g/mL
dilution and concentration equation (changing strength or quantity
Q1 x C1 = Q2 x C2
1 = old
2 = new
Alligation calculation
high % - desired conc = X parts low %
desired conc - low % = X parts high conc
Desired amount / TOTAL parts = weight per part
Osmolarity equation
mOsmol/L = wt of substance (g/L)/MW (g/mol) x (# of particles) x 1000
Isotonicity equation (E value)
(58.5)(i)/(MW of drug x 1.8)
Moles and millimoles equation
mols = g/MW
mmols = mg/MW
Enteral nutrition calories
Carbs, protein = 4 kcal/gram
Fat = 9 kcal/gram
Parenteral nutrition calories
Dextrose monohydrate = 3.4 kcal/gram
Amino acid solution = 4 kcal/gram
ILE 10% = 1.1 kcal/gram
ILE 20% = 2 kcal/gram
ILE 30% = 3 kcal/gram
Determining fluid needs equation
When weight > 20 kg: 1500 mL + 20 mL x (weight in kg - 20 kg)
Can estimate using 30-40 mL/kg/day
Total energy expenditure (TEE)
TEE = BEE x activity factor x stress factor
Grams of nitrogen from protein
nitrogen (g) = protein intake (g)/6.25
Corrected calcium for albumin < 3.5
Ca + [(4.0-albumin) x 0.8]
BMI
weight (kg)/[height (m)]^2
OR
weight (lbs)/[height(inches)]^2 x 703
Ideal body weight equation (IBW)
Males = 50 + 2.3(number of inches over 5 feet)
Females = 45.5 + 2.3(number of inches over 5 feet)
Adjusted body weight equation
IBW + 0.4(TBW-IBW)
Dehydration equation
BUN:SCr > 20:1
Cockcroft-Gault Equation
CrCl = (140-age)(weight)/(72xSCr) (x0.85 if female)
Underweight = TBW
Normal weight (BMI< 25) = IBW
Overweight (BMI>25) = AdjBW
How to read an ABG
pH/pCO2/pO2/HCO3/O2 Sat
pH<7.35 = acidosis
pH>7.45 = alkalosis
Respiratory: pCO2<35 = alkalosis; pCO2>45 = acidosis
Metabolic: pHCO3 >26 = alkalosis; pHCO3<22 = acidosis
Anion gap calculation
Na - Cl - HCO3
Weak acid pH calculation
pH = pKa + log[salt/acid]
Weak base pH calculation
pH = pKa + log[base/salt]
weak acid % ionization calculation
% ionization = 100/[1+10^(pKa-pH)]
weak base % ionization calculation
% ionization = 100/[1+10^(pH-pKaA)]
ANC calculation
WBC x [(%segs + % bands)/100]
Fahrenheit –> Celsius
C x 1.8 + 32
Celsius –> Fahrenheit
(F-32)/1.8
Time to burn calculation
TTB (with sunscreen) = SPF x TTB (without sunscreen)
Risk calculation
Number of subjects in group with an unfavorable event/total number of subjects in a group
RR (Relative risk)
Risk in treatment group/risk in control group
RRR (Relative risk reduction)
(% risk in control group- % risk in treatment group)/% risk in control group
ARR (absolute risk reduction)
(% risk in control group) - (% risk in treatment group)
NNT (number needed to treat) OR NNH (number needed to harm)
1/ARR
ARR expressed as a decimal
OR (odds ratio)
AD/BC
HR (hazard ratio)
Hazard rate in treatment group/hazard rate in control group
Incremental cost-effectiveness ratio
(C2-C1)/(E2-E1)
Pack-year smoking history calculation
Cigarette packs/day x years smoked
Calculating Basal-Bolus requirements
TDD = 0.5 units/kg/day using TBW
Divide in half for basal/bolus split
Divide bolus amounts among meals
ICR (Insulin to carb ratio) for regular insulin
450/TDD insulin = grams of carbohydrate covered by 1 unit of insulin
ICR (Insulin to carb ratio) for rapid-acting insulin
500/TDD insulin = grams of carbohydrate covered by 1 unit of insulin
Correction Factor for regular insulin
1500/TDD insulin = correction factor for 1 unit of insulin
Correction Factor for rapid-acting insulin
1800/TDD insulin = correction factor for 1 unit of insulin
Correction dose
(BG now - target BG)/CF = correction dose
Friedewald equation (LDL)
TC - HDL - (TG/5)
*do not use if TG > 400
Minimum weighable quantity
Sensitivity requirement/acceptable error weight (usually 0.05)
BSA (Mosteller)
sqrt(ht(cm)xwt(kg)/3600)
Bioavailability (F)
100 x AUC(extravascular)/AUC(intravenous) x dose(intravenous)/dose(extravascular)
Volume of distribution (Vd)
amount of drug in the body/concentration of drug in plasma
Clearance equation
F x dose/AUC
OR
ke x Vd
Elimination rate constant (ke)
Cl/Vd