P1 OSCE Calculations Exam at Chicago State University School of Pharmacy

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Ace Your Test with P1 OSCE Calculations Exam Actual Questions and Solutions - Full Set

Free P1 OSCE Calculations Exam at Chicago State University School of Pharmacy Questions

1.

A metronidazole vaginal gel contains 0.75% of drug in 70-g tubes.
How many milligrams of drug will be contained in 10 g of application?
Round answer to the nearest whole number. Do not include units.

  • A 50
  • B 65
  • C 75
  • D 90

Explanation

Explanation
A 0.75% w/w preparation contains 0.75 g per 100 g of product.
To determine how much drug is in 10 g:
0.75 g ÷ 100 g = 0.0075 g per gram.
0.0075 g × 10 g = 0.075 g, which equals 75 mg.
Therefore, 75 mg of metronidazole is contained in a 10-gram dose.
Correct Answer Is:
C. 75
2.

A prescription calls for 50 milligrams of chlorpheniramine maleate. Using a prescription balance with a sensitivity requirement of 6 milligrams, explain how you would obtain the required amount of chlorpheniramine maleate with an error not greater than 5%.

  • A Weigh 600 mg chlorpheniramine maleate, dilute with 850 mg of diluent to make 1600 mg, then weigh 1200 mg
  • B Weigh 150 mg chlorpheniramine maleate, dilute with 450 mg of diluent to make 600 mg, then weigh 200 mg
  • C Weigh 60 mg chlorpheniramine maleate, dilute with 50 mg of diluent to make 100 mg, then weigh 20 mg
  • D Weigh 760 mg chlorpheniramine maleate, dilute with 950 mg of diluent to make 6000 mg, then weigh 2000 mg
  • E Weigh 120 mg chlorpheniramine maleate, dilute with 780 mg of diluent to make 1000 mg, then weigh 200 mg

Explanation

Explanation
With a sensitivity requirement of 6 mg and a maximum error of 5%, the minimum quantity that can be weighed accurately is (SR × 100) / %error = (6 × 100) / 5 = 120 mg. So both the initial drug weight and the final aliquot must be ≥ 120 mg. In option B, 150 mg drug (≥120 mg) is mixed with 450 mg diluent to make 600 mg total. The concentration is 150/600 = 0.25 (25%). Taking a 200 mg aliquot (also ≥120 mg) gives 0.25 × 200 = 50 mg of chlorpheniramine maleate, meeting the dose requirement while satisfying the balance’s accuracy limits.
Correct Answer Is:
B. Weigh 150 mg chlorpheniramine maleate, dilute with 450 mg of diluent to make 600 mg, then weigh 200 mg
3.

A solution contains 0.4% w/v of active ingredient.
How many kilograms of active ingredient are needed to prepare 800 L of solution?
Round answer to the nearest tenth. Do not include units.

  • A 1.6
  • B 2.4
  • C 3.2
  • D 4.0

Explanation

Explanation
A 0.4% w/v solution contains 0.4 g per 100 mL.
Convert 800 L to milliliters: 800 L = 800,000 mL.
Determine grams per milliliter: 0.4 g / 100 mL = 0.004 g/mL.
Multiply by total volume:
0.004 g/mL × 800,000 mL = 3200 g.
Convert to kilograms: 3200 g ÷ 1000 = 3.2 kg.
Correct Answer Is:
C. 3.2
4.

A liquid medicine is to be taken three times daily. If 180 mL are to be taken in 4 days, how many teaspoonfuls should be prescribed for each dose? Round to the nearest whole number.

  • A 2 teaspoonfuls
  • B 3 teaspoonfuls
  • C 4 teaspoonfuls
  • D 5 teaspoonfuls

Explanation

Explanation
To calculate the correct dose, first determine how many total doses the patient will take over 4 days: 3 doses per day × 4 days = 12 doses. Then divide the total volume by the number of doses: 180 mL ÷ 12 = 15 mL per dose. Since one teaspoon equals 5 mL, convert by dividing 15 mL ÷ 5 mL = 3 teaspoonfuls per dose.
Correct Answer Is:
B. 3 teaspoonfuls
5.

A prescription calls for 5 mg of morphine sulfate. Using a sensitivity requirement of 5 mg, how would you obtain the required amount of morphine sulfate with an error not greater than 5%?

  • A 125 mg of drug, 1675 mg of diluent, 80 mg of aliquot
  • B 80 mg of drug, 1920 mg of diluent, 80 mg of aliquot
  • C 100 mg of drug, 1900 mg of diluent, 100 mg of aliquot
  • D 120 mg of drug, 2000 mg of diluent, 100 mg of aliquot
  • E 150 mg of drug, 2250 mg of diluent, 100 mg of aliquot

Explanation

Explanation
With a sensitivity requirement (SR) of 5 mg and a maximum error of 5%, the minimum quantity that can be weighed accurately is: (SR × 100) / % error = (5 × 100) / 5 = 100 mg. Therefore, the aliquot taken must be at least 100 mg. In option C, 100 mg drug + 1900 mg diluent = 2000 mg mixture. A 100 mg aliquot of this mixture contains (100/2000) × 100 mg = 5 mg morphine sulfate, meeting both the dose requirement and the weighing accuracy requirement.
Correct Answer Is:
C. 100 mg of drug, 1900 mg of diluent, 100 mg of aliquot
6.

A manufacturer wishes to prepare 3 L of sodium acetrizoate solution, 25.0% w/v. The specific gravity of this solution is 1.1.
How many milliliters of water will be required?
Round to the nearest whole number. Do not include units.

  • A 2200
  • B 2400
  • C 2550
  • D 2700

Explanation

Explanation
To prepare 3 liters (3000 mL) of a 25% w/v solution, calculate the amount of solute first:
25 g per 100 mL × 3000 mL = 750 g of solute.
Next determine the total mass of the final solution using specific gravity:
3000 mL × 1.1 g/mL = 3300 g total.
Subtract the solute mass from the total mass to determine required water:
3300 g − 750 g = 2550 g, which equals 2550 mL of water.
Correct Answer Is:
C. 2550
7.

The pharmacist is tasked with making an elixir that is 1:2000 (w/v) of phenobarbital. The pharmacy has 300 mL of a 0.5% elixir to be used for this. How many milliliters of the 1:2000 (w/v) elixir can be made? (Round to the nearest whole number. Do not include units.)

  • A 1500
  • B 2000
  • C 2500
  • D 3000

Explanation

Explanation
A 0.5% w/v phenobarbital elixir contains 0.5 g per 100 mL, which is 500 mg per 100 mL, or 5 mg/mL.
With 300 mL available:
5 mg/mL × 300 mL = 1500 mg total drug.
A 1:2000 solution contains 1 g in 2000 mL, or 0.5 mg/mL.
To find the final volume that will contain 1500 mg at a concentration of 0.5 mg/mL:
1500 mg ÷ 0.5 mg/mL = 3000 mL. Therefore, 3000 mL of the 1:2000 elixir can be prepared.
Correct Answer Is:
D. 3000
8.

Syrup is an 85% w/v solution of sucrose in water. It has a density of 1.313 g/mL.
How many milliliters of water should be used to make 300 mL of syrup?
Round to the nearest tenth. Do not include units.

  • A 120.5
  • B 138.9
  • C 150.0
  • D 165.2

Explanation

Explanation
To find the amount of water needed, first determine the total mass of 300 mL of syrup:
300 mL × 1.313 g/mL = 393.9 g.
An 85% w/v syrup contains 85 g sucrose per 100 mL, so for 300 mL:
85 g × 3 = 255 g sucrose.
Subtract sucrose mass from total mass to find water mass:
393.9 g − 255 g = 138.9 g water.
Because water has a density of 1 g/mL, this equals 138.9 mL.
Correct Answer Is:
B. 138.9
9.

The following is a formula for a testosterone nasal spray:
Testosterone 1 g
Alcohol 10 mL
Propylene glycol 20 mL
Benzalkonium chloride 15 mg
Purified water qs ad 100 mL

Benzalkonium chloride is available as a 1:500 w/v stock solution.
How many milliliters of the stock solution would provide the 15 mg needed in the prescription?
Round to the nearest tenth. Do not include units.

  • A 5.0
  • B 7.5
  • C 10.0
  • D 12.5

Explanation

Explanation
A 1:500 w/v solution contains 1 gram (1000 mg) in 500 mL, which equals 2 mg/mL. To supply the required 15 mg, divide the needed amount by the concentration:
15 mg ÷ 2 mg/mL = 7.5 mL.
Therefore, 7.5 mL of the stock benzalkonium chloride solution will provide the exact required amount for the nasal spray formulation.
Correct Answer Is:
B. 7.5
10.

A patient has a 200 g tube of topical lidocaine with a concentration of 2%. If the patient is applying 2 g three times daily, what is the total daily dose of lidocaine in milligrams? Round to the nearest whole number. Do not include units.

  • A 80
  • B 100
  • C 120
  • D 150

Explanation

Explanation
A 2% w/w lidocaine preparation contains 2 g of lidocaine per 100 g of product, which equals 0.02 g per gram.
The patient applies 2 g per dose, and 2 g × 0.02 = 0.04 g lidocaine per dose.
Convert to milligrams: 0.04 g = 40 mg per dose.
Since the patient applies this three times daily:
40 mg × 3 = 120 mg per day.
Correct Answer Is:
C. 120

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