The dose of gentamicin sulfate is 1.7mg/kg. How many mls of an injectable solution containing 40mg/ml should be administered to a person weighing 220 pounds? Any help is appreciated.

You want a dosage of 220lbs(1.7mg/kg)(1kg/2.2lbs) calculate that.

Now, to get that many milligrams of gentamicin sulfate,

dosage=concentration*volume
so volume = dosageCalculatedAabove/(40mg/ml)

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To determine the amount of the injectable solution containing 40mg/ml that should be administered, we need to convert the weight of the person from pounds to kilograms and then calculate the dose.

1 pound is approximately 0.4536 kilograms.

So, the weight of the person is 220 pounds * 0.4536 kilograms/pound = 99.792 kilograms (rounded to 3 decimal places).

Now, multiplying the weight of the person by the dose of gentamicin sulfate (1.7mg/kg), we can calculate the total dose required:

Total dose = 99.792 kg * 1.7 mg/kg = 169.267 mg (rounded to 3 decimal places).

Finally, we need to calculate the volume of the injectable solution containing 40mg/ml that corresponds to the total dose required:

Volume = Total dose / Concentration

Volume = 169.267 mg / 40 mg/ml = 4.2317 ml (rounded to 4 decimal places).

Therefore, approximately 4.2317 ml of the injectable solution should be administered to the person weighing 220 pounds.

To find the number of milliliters of injectable solution of gentamicin sulfate needed, we need to follow these steps:

Step 1: Convert the weight from pounds to kilograms.
To do this, we divide the weight in pounds by 2.2046 (since 1 kilogram is approximately 2.2046 pounds):
220 pounds ÷ 2.2046 = 99.80 kilograms (rounded to two decimal places)

Step 2: Calculate the total dose of gentamicin sulfate required.
We do this by multiplying the weight in kilograms by the given dose per kilogram:
99.80 kilograms × 1.7 mg/kg = 169.66 mg (rounded to two decimal places)

Step 3: Determine the volume of the injectable solution needed.
Since the concentration of the injectable solution is given as 40 mg/ml, we can determine the volume using the following formula:
Volume (ml) = Total dose (mg) / Concentration (mg/ml)
Volume (ml) = 169.66 mg / 40 mg/ml
Volume (ml) ≈ 4.24 ml (rounded to two decimal places)

Therefore, approximately 4.24 milliliters of the injectable solution should be administered to a person weighing 220 pounds.