Calcs Flashcards
(88 cards)
How many drops are in 1ml
20 drops in 1ml
Sando K tablets contain 0.6 g potassium chloride (KCl) and 0.4 g potassium bicarbonate (KHCO3) per
tablet. A patient requires potassium replacement at a dose of 200 millimoles of potassium daily.
Molar mass of potassium (K) is 39 g/mol.
Molar mass of chlorine (Cl) is 35.5 g/mol.
Molar mass of bicarbonate (HCO3) is 61 g/mol.
How many Sando K tablets are required to provide 200 millimoles of potassium daily?
Give your answer to the nearest whole number of tablets
Moles of KCl/tablet = mass/molar mass = 0.6 g/ (39+35.5) = 0.008 moles/tablet = 8 millimoles of potassium
and 8 millimoles of chloride.
Moles of KHCO3/tablet= mass/molar mass = 0.4 g/ (39+61) = 0.004 moles/tablet = 4 millimoles of
potassium and 4 millimoles of bicarbonate.
Therefore, the total millimoles of potassium in one tablet is 8 + 4 = 12 millimoles.
The patient requires 200 millimoles of potassium daily so we divide the total needed by the amount per
tablet to give us the required number of tablets:
200/12 = 16.6 = 17 tablets when rounded to the nearest whole tablet.
t
The correct answer is: 17
A 10-year-old female child has a weeping infected wound. The child has been prescribed potassium
permanganate solution 1 in 4000. This product is prepared from a stock solution of 50 times this strength.
How many litres of potassium permanganate stock solution will be needed if the child uses 200 mL of the
diluted solution twice a day for 7 days?
Give your answer to three decimal places.
A gastroenterology pharmacist is reviewing patients on adalimumab for a brand switch from Humira to Amgevita, as part of a local formulary
change.
The cost for both brands are shown below:
Humira £704.28 2 x 40mg pre-filled pens
Amgevita £633.60 2 x 40mg pre-filled pens
The pharmacist reviews 58 suitable patients, including 12 patients who are using Humira 40mg weekly for the treatment of Crohn’s disease, and 46
patients who are using Humira 40mg every 2 weeks for the treatment of ulcerative colitis. Of these, 7 patients who use Humira 40mg weekly and 30
patients who uses Humira 40mg every 2 weeks agree to switch.
Provided that there are no other associated charges, calculate the cost saving over 52 weeks if all consented patients are switched to Amgevita? Give your answer to the nearest pound.
We are only switching the consented patients i.e. 7 patients who uses
Humira weekly and 30 patients who uses Humira every 2 weeks
7 patients who use 40mg weekly = 7 syringes per week = 364
syringes over 52 weeks
30 patients on every 40mg every 2 weeks = 30 syringes every 2
weeks = 780 syringes over 52 weeks
Total number of syringes = 364 + 780 = 1,144 syringes
Humira costs: £704.28 for 2 syringes = £402,848.16 for 1,144 syringes
Amgevita costs: £633.60 for 2 syringes = £362,419.20 for 1,144 syringes
Cost saving = £402,848.16 - £362,419.20 = £40,428.96 = £40,429 (to the
nearest pound)
Exam framework: health economics
The correct answer is: 40429
How many ng/ml is 4.6mcg/L
4.6mcg in 1000ml
0.0046mcg in 1ml
(x1000), 4.6ng in 1ml
2) You are required to extemporaneously prepare an oral solution of magnesium sulphate
for a 24-year-old patient. The prescriber has requested that you supply magnesium sulphate
oral solution at an intermediate concentration, such that the patient can dilute 5mL of the
concentrate with 55mL of water to produce a 0.7% w/v solution. You currently have a 30%
w/v magnesium sulphate concentrate in stock.
Calculate the volume of magnesium sulphate concentrate needed to produce 300ml of the
intermediate solution.
Answer: 84ml
5ml diluted with 55ml of water. Total volume 60ml hence dilution factor (60 ÷ 5 = 12)
Intermediate conc: 12 x 0.7 = 8.4% w/v
C1 x V1 = C2 x V2 (30 x ? = 8.4 x 300)
V1 = 84ml
Mr. A, a 67-year-old man admitted to the ICU, is prescribed an infusion of dopamine
at 5 micrograms per kilogram per minute (mcg/kg/min). His weight is 83 kg.
Dopamine is supplied as 200 mg in 50 mL of glucose 5 % infusion. The nurse needs
to set the syringe pump in mL/hour to deliver the correct dose.
Calculate the infusion rate in mL/hour required for Mr. A. Give your answer to one decimal place.
The correct answer is 6.2 mL/hour
Calculate the required dose in micrograms per minute
5mcg x 83kg = 415mcg/min
Convert to mg/hour
415mcg / 1000 = 0.415mg/min
0.415mg x 60 = 24.9mg/hour
Concentration
200mg → 50mL
24.9mg → X
X = (24.9 x 50) / 200 = 6.225 mL / hour
A patient is receiving a continuous infusion of midazolam via a syringe driver.
The prescription is for 2.5 mg/hour over 24 hours. Midazolam is available as a 5mg/mL solution. The syringe driver has a total barrel volume of 22 mL and acalibrated length of 55 mm.
Calculate the rate, in mm/hour, at which the syringe driver should be set todeliver the required dose. Round your answer to the nearest whole number
The correct answer is 1mm/hour
Convert dose to volume (mL/hour)
5mg → 1mL
2.5mg → X
(2.5 x 1) / 5 = 0.5mL/hour
Convert required volume per hour into barrel length (mm/hour)
22mL → 55mL
0.5mL → X
(0.5 x 55) / 22 = 1.25 mm/hour
Round to the nearest whole number
1.25 = 1mm/hour to the nearest whole number
1mm/hour
Mrs A is being treated in the infectious-diseases unit for hospital-acquired
pneumonia. The consultant wants to switch her to a high-dose continuous
meropenem infusion because her creatinine clearance is > 120 mL min⁻¹. Pharmacy protocol states the full 24-h dose of 2 g must be dissolved in sufficient diluent so that the final concentration is 0.08 mol L⁻¹ to reduce line occlusion. Meropenem powder has a molecular weight of 383 g mol⁻¹ and comes in 1 g vials. Nurses use standard
1-litre elastomeric pumps.
Calculate the total volume, in mL, of infusion solution required to achieve the 0.08 mol L⁻¹ concentration. Give your answer to the nearest whole number
Moles = Mass / RMM
Moles = 2/383 = 0.00522 mol
Determine the required volume for the target concentration (0.08 mol/L)
Volume (L) = moles / concentration
Volume = 0.00522 / 0.08 = 0.006525L
Convert to millilitres (multiply by 1000)
0.06525 L x 1000 = 65.25mL
65mL rounded to the nearest whole number
A patient on the OPAT service needs a single 400 mg dose of teicoplanin for home administration. Teicoplanin is supplied only as 200 mg powder vials with a displacement volume of 0.28 mL per vial. Each vial is routinely reconstituted with 3mL of water for injection.
For safety, the entire contents of two reconstituted vials are drawn into one syringe before any further dilution.
Calculate the total volume, in mL, that will be drawn into the syringe from the
two reconstituted vials. Give your answer to two decimal places.
Question 8
The correct answer is 6.56mL
Reconstitute one 200 mg vial
Diluent added: 3 mL water for injection
Displacement volume of teicoplanin powder: 0.28 mL
Final volume per vial = 3mL + 0.28mL = 3.28mL
Draw up two vials for the 400 mg dose
Volume from two vials = 2 x 3.28mL = 6.56mL
6.56mL
A bespoke 1-litre parenteral-nutrition (PN) bag is being modified by adding two extra
electrolytes. The admixture will contain calcium 20 mmol supplied as calcium
gluconate; for osmolarity purposes each millimole of calcium gluconate is counted as
one osmotically active particle.
It will also contain phosphate 30 mmol supplied as sodium phosphate, which
dissociates so that each millimole yields two osmotically active particles. No other
component of the PN bag is altered, so the baseline osmolarity remains unchanged.
Calculate the extra osmolarity contributed by these electrolytes alone and
express your answer in mOsm L⁻¹, rounded to the nearest whole number.
The correct answer is 80 mOsm L⁻¹
Calculate osmolarity contribution from calcium ions
Calcium gluconate assumed monovalent for osmolarity, therefore;
20 mmol × 1 particle mmol⁻¹ = 20 mOsm
Calculate osmolarity contribution from phosphate ions
Sodium phosphate dissociates to give two osmotically active particles, therefore,
30 mmol × 2 particles mmol⁻¹ = 60 mOsm
Add the two contributions
20 mOsm + 60 mOsm = 80 mOsm
80 mOsm L⁻¹
You receive a prescription for nitrofurantoin oral suspension at a dose of 50 mg four times a
day for seven days. The suspension is available as 25 mg/5mL.
What is the total volume of suspension in mL that is required for the prescribed
course? (RPS 21)
You receive a prescription for nitrofurantoin oral suspension at a dose of 50 mg four times a day
for seven days. The suspension is available as 25 mg/5mL.
What is the total volume of suspension in mL that is required for the prescribed course?
50 mg QDS = 200 mg total dose per day
Which is 10mL QDS = 40mL total quantity per day
40 x 7 days = 280 mL
Answer 280
A 35-year-old pregnant woman is 31 weeks pregnant. She has iron-deficiency anaemia and is
prescribed intravenous Venofer® (iron). She is 5 feet 6 inches tall and weighed 61kg before her
pregnancy. The target haemoglobin (Hb) level for this patient 15 g/dL.
You also have the following information from her medical notes:
Iron: 5 micromol/L
Haemoglobin (Hb): 10.2 g/dL
BP: 132/80 mmHg
Use the extract in the resource pack
What is the total dose of intravenous iron in mL this patient should receive? Give your answer to one decimal place.
Using the Ganzoni equation iron deficit is 61 x (15 – 10.2) x 2.4 + 500 = 1202.72 mg
Total iron to be administered is 1202.72 ÷ 20 = 60.136 mL
To one decimal place is 60.1 mL
TOPIC: Dosage and dose regimes
The correct answer is: 60.1
You are preparing intravenous fluids for a patient for the prevention of hypokalaemia. You need
to add 40 mmol of potassium ions to the fluid bag.
Atomic weight of potassium = 39
Atomic weight of chloride = 35.5
How many mL of potassium chloride injection 20% w/v should you add? Give your answer
to the nearest whole number. (RPS 21)
40 mmol of potassium ions needed
MR of KCl = 74.5
Mass = MR x Moles = 74.5 x 40 mmol = 2,980 mg
KCl injection contains 20 g in 100 mL, therefore 2980 mg in x mL
x mL = (2980 mg x 100 mL) ÷ 20,000 mg = 14.9 mL
=> 15 mL to nearest whole number
ALTERNATE METHOD:
20% = 20 g in 100 mL = 200 mg/mL therefore 2980 mg ÷ 200 mg/mL = 14.9 mL
Correct answer is 15
You have been asked to administer 150 mg of etomidate in 1L of sodium chloride 0.9% at a rate
of 60 mcg/kg/hr for a 73 kg female patient.
Assuming 20 drops per mL, what is the whole drop rate per minute that needs to be set on the giving set? Give your answer to the nearest whole number. (RPS 21)
60 mcg x 73 kg = 43800 mcg = 4.38 mg
Convert to mins 4.38 mg/hr ÷ 60 = 0.07 3mg/min
so 150 mg/1000 mL = 0.073 mg/ 0.48666 mL
20 drops = 1 mL
So in 0.48666 mL = 9.73 drops
Round to whole drop = 10 drops
TOPIC: Infusion rates
The correct answer is: 10
A 72 kg man has been admitted to the acute medical unit for investigations. He is not eating or
drinking enough and therefore is prescribed maintenance fluids.
The ward stocks glucose 5% bags and sodium chloride 0.9% in volumes of 250 mL, 500 mL, and
1000 mL.
Use the extract about Intravenous fluid therapy in adults in hospital provided in the resource pack
What is the maximum volume of water in mL that should be prescribed per day?
Give your answer to the nearest whole bag. (RPS 21)
Using ‘Algorithm 3: routine maintenance’, the maximum volume of fluid/water he should receive
is 30 mL/kg/day
Therefore: 30 mL/kg x 72 kg = 2160 mL
In practice you would hang a full bag of fluid so this patient should receive 2250 mL maximum.
TOPIC: Dosage and dose regimes
The correct answer is: 2250
A solution of benzalkonium chloride is available in a concentration of 1:750 w/v.
How many mL of purified water is required to be added to 30 mL of the solution to prepare a 1:5000 solution of benzalkonium chloride for use as a wet dressing for the skin? (RPS 21)
1:750 = 1g in 750mL.
Therefore there will be 40 mg in 30 mL of benzalkonium solution.
Target solution is 1:5000. This is equivalent to 1 g in 5000 mL.
We need to have 40 mg in our final solution. So the total volume needed is 200 mL
40 mg/200 mL is equivalent to a 1:5000 solution.
Started with a 30 mL volume. Need to add 170 mL of water.
TOPIC: Dilution
The correct answer is: 170
A male patient been newly diagnosed with pulmonary tuberculosis and has been prescribed
ethambutol tablets once a day as part of quadruple therapy. He is obese (BMI > 30). His height is 177.8 cm and his weight 112 kg.
Use the extract about ethambutol provided in the resource pack
What is the daily dose in mg of ethambutol in mg that should prescribed for the patient? (RPS 21)
Poorly wriiten equation brackets incorrect
Use the male ideal body weight formula = 50 + (2.3 x (25.4÷2.54)) = 73 kg
Adjusted body weight = Ideal body weight + (0.4 x (Actual body weight – ideal body weight))
This is: 73 + (0.4 x (112-73)) = 88.6 kg
Therefore, the daily dose is: 88.6 kg x 15 mg/kg = 1329 mg
Note the answer is 1300 mg (i.e. 3x400 mg tablets + 1x100mg) as the monograph says to the
nearest whole tablet.
TOPIC: Dose and dose regime
The correct answer is: 1300
A 2-year-old boy is suffering from hypocalcaemia. The consultant paediatrician would like to
infuse him with 10 mmol of calcium over 12-hours. You need to make up an appropriate
intravenous infusion.
The molecular masses for compounds commonly used to make up intravenous infusions are
included below:
How many mL of calcium chloride dihydrate solution 7.35 % w/v is required to make up
the intravenous infusion? Give your answer to the nearest whole number. (RPS 21)
Need 10 mmol calcium (Ca2+) therefore need 10 mmol of the calcium chloride dihydrate
(CaCl2·2H2O).
Convert the molecular mass off this directly from g/mol to mg/mmol, thus 147.01 mg/mmol.
Utilise and rearrange molar equation: moles = mass ÷ molar mass => mass = moles x molar
mass
Therefore mass of CaCl2·2H2O needed is 10 mmol x 147.01 mmol/mg = 1470.1 mg.
7.35% = 7.35 g in 100 mL therefore 73.5 mg/mL, thus 1470.1 mg ÷ 73.5 mg/mL = 20 mL.
TOPIC: Molecular weight
The correct answer is: 20
An 8-month-old child has been prescribed 25 mg/kg/dose of benzylpenicillin intravenously, four
times a day for otitis media. She weighs 11 kg. Each 200 mg vial is reconstituted to 2 mL.
What is the total dose in mL that would be administered per day?
25 x 11 = 275 mg/ dose.
200 mg/2 mL = 100 mg/1 mL
275 mg = 2.75 mL
Daily dose is 2.75 mL x 4 = 11 mL
TOPIC: Doses and dose regime
The correct answer is: 11
A stroke patient is no longer able to swallow solid formulations. He was previously prescribed
100 mg phenytoin capsules at a dose of 300 mg twice a day. The doctor has now requested that
the patient changes to phenytoin suspension, still to be taken 300 mg twice a day, for 14 days.
The suspension is available in a strength of 30 mg/5 mL.
The dose equivalence is provided below:
100 mg of phenytoin capsules is equivalent to 90 mg of phenytoin suspension.
How many mL of suspension should be supplied? (RPS 21)
300 mg twice a day = 600 mg total dose
100 mg caps = 90 mg suspension
Therefore: 600 mg caps = 540 mg suspension
30 mg/5 mL suspension, so 540 mg would equal 90 mL daily
For 14 days total amount to supply 1260 mL
TOPIC: Dosage and unit conversion
The correct answer is: 1260
A 59-year-old female patient with heart failure and is to start maintenance dose of intravenous
digoxin, aiming for a serum digoxin concentration of 2 micrograms. The patient is not considered
to be obese.
You have the following details:
Weight 58kg
HR: 93BPM
Creatinine: 115umol/L
Height: 5’6
BP:130/80
K+: 3.7mmol/L
Age: 59
Temp: 37C
urea: 4.1mmol/L
Use the extract about constant steady state concentration provided in the resource pack.
What is the daily dose of digoxin in mcg for this patient? Give your answer to the nearest
whole number.
Use actual body weight of 58 kg as patient is not obese.
Calculate creatinine clearance for women:
CrCl (mL/min) = (140–age) x weight x 1.04/115 µmol/L
CrCl = [(140 – 59) x 58 x 1.04] ÷ 115 = 42.48626 mL/min
Calculate digoxin clearance for heart failure:
DigCl (L/hr) = (0.053 x Creatinine Clearance (mL/min)) + (0.02 x IBW (kg))
DigCl = (0.053 x 42.48626) + (0.02 x 58) = 3.41177 L/hr
Need to rearrange Cpss equation to find D. Also, F becomes 1 (due to 100% bioavailable IV)
Thus: D = [Cpss x (DigCl x t)] ÷ F
D = [2.0 x (3.41177 x 24)] ÷ 1 = 163.76505 mcg
To nearest whole number is 164 mcg
TOPIC: Pharmacokinetics
The correct answer is: 164
You are working as a pharmacist in general practice and discuss with the practice manager ways
of reducing expenditure on medicines. You review the use of nifedipine XL capsules (Coracten)
as these costs more than nifedipine XL tablets (Adipine) at an equivalent dose.
Current costs are shown below:
Adipine XL 30 mg tablets £4.70 per 28 tablets
Coracten XL 30 mg capsules £5.25 per 28 capsules
You have reviewed 50 patients who are prescribed Coracten XL capsules 30 mg twice a day and
have identified that 34 of them who can potentially switch to Adipine XL tablets 30 mg two tablets
once a day. The practice repeat prescribing policy is for 84 days of treatment per prescription.
What is the total saving for the practice for 3 repeats assuming all 34 suitable patients switch to using Adipine XL tablets?
Give your answer to the nearest pound.
Answer: 337
A 33-year-old woman weighing 72 kg is prescribed a loading dose of phenytoin infusion for status epileptic.
She is 5 ft 11 inches. She has normal kidney function.
Phenytoin has a recommended dose of 20 mg/kg to be infused at a rate not exceeding 50
mg/minute. The doctor would like an infusion volume of 100 mL and a dose rate of 25 mg/minute.
Phenytoin injection is available in 5 mL ampoules containing 250 mg.
What is the flow rate in mL/min of the total infusion, including phenytoin?
Give your answer to one decimal place. (RPS 21)
20 mg/kg x 72 = 1440 mg
1440 mg will be in the 100 mL infusion = 14.4 mg/mL
Rate of 25 mg/min.
25 mg/min ÷ 14.4 mg/mL = 1.73611 mL/min
To one decimal place is 1.7 mL/min
TOPIC: Infusion rate
The correct answer is: 1.7