To solve the problems stated, we'll perform the necessary mathematical conversions step by step. Below is a breakdown of each problem, along with the conversions performed and the final answers.
Conversion Reference Information
- Milligrams to Milliliters: If given concentration, use the ratio to convert.
- Ounces to Milliliters: 1 ounce = 29.5735 mL (for practical purposes, use 30 mL).
- Teaspoons to Milliliters: 1 teaspoon = 5 mL.
- Grams to Milligrams: 1 g = 1000 mg.
Problem 1
A patient is prescribed 80 mg of Tramadol Hydrochloride injection. The stock dose is 50 mg / 2 mL. What volume will you require?
Solution:
- From the stock dose: 50 mg in 2 mL implies: \[ \frac{50 , \text{mg}}{2 , \text{mL}} = 25 , \text{mg/mL} \]
- To find the volume required for 80 mg: \[ \text{Volume} = \frac{\text{Desired dose}}{\text{Concentration}} = \frac{80 , \text{mg}}{25 , \text{mg/mL}} = 3.2 , \text{mL} \]
Problem 2
A laboratory technician measures 48 ml of urine sample in a 4-ounce beaker. How many more ml of urine are necessary to fill the beaker?
Solution:
- Convert ounces to mL: \[ 4 , \text{oz} \times 30 , \text{mL/oz} = 120 , \text{mL} \]
- Calculate remaining volume: \[ \text{Volume needed} = 120 , \text{mL} - 48 , \text{mL} = 72 , \text{mL} \]
Problem 3
You fill a storage cabinet with 12 bottles of normal saline. Each bottle contains 1000 mL. How many ounces of this solution are in the storage cabinet?
Solution:
- Total volume in mL: \[ 12 , \text{bottles} \times 1000 , \text{mL/bottle} = 12000 , \text{mL} \]
- Convert mL to ounces: \[ \frac{12000 , \text{mL}}{30 , \text{mL/oz}} \approx 400 , \text{oz} \]
Problem 4
A patient is prescribed 6 mg of cough medication. The label on the prescription says there are 2 mg per 4 mL. How many teaspoons of cough medication does the patient need to take?
Solution:
- Calculate required volume for 6 mg: \[ 2 , \text{mg} \text{ in } 4 , \text{mL} \implies \frac{6 , \text{mg}}{2 , \text{mg}} \times 4 , \text{mL} = 12 , \text{mL} \]
- Convert mL to teaspoons: \[ \frac{12 , \text{mL}}{5 , \text{mL/teaspoon}} = 2.4 \text{ teaspoons} \]
Problem 5
A patient requires 80 milligrams of Risperidone. The stock dose is 40 mg / 10 mL. What volume is required?
Solution:
- From the stock dose: \[ \frac{40 , \text{mg}}{10 , \text{mL}} = 4 , \text{mg/mL} \]
- To find the volume needed for 80 mg: \[ \text{Volume} = \frac{80 , \text{mg}}{4 , \text{mg/mL}} = 20 , \text{mL} \]
Problem 6
Normal urinary output for an adult is between 400 to 2,000 mL daily. If a person follows the recommended 8 glasses of 8 ounces of liquid intake and has an output of 1,500 mL, what is their net liquid gain/loss?
Solution:
- Total liquid intake: \[ 8 , \text{glasses} \times 8 , \text{oz/glass} \times 30 , \text{mL/oz} = 1920 , \text{mL} \]
- Calculate net gain/loss: \[ \text{Net} = 1920 , \text{mL} - 1500 , \text{mL} = 420 , \text{mL gain} \]
Problem 7
Dymelor 0.75 g is ordered. Scored tablets are labeled 500 mg each. How many tablets will you give?
Solution:
- Convert grams to milligrams: \[ 0.75 , \text{g} = 750 , \text{mg} \]
- Calculate number of tablets: \[ \text{Tablets required} = \frac{750 , \text{mg}}{500 , \text{mg/tablet}} = 1.5 , \text{tablets} \] (The patient may need 1.5 tablets, depending on the form of administration.)
Summary of Answers:
- 3.2 mL
- 72 mL
- 400 oz
- 2.4 teaspoons
- 20 mL
- 420 mL gain
- 1.5 tablets
Feel free to generate and attach any additional conversion charts for full documentation of all conversions.