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When 250 mg of a medication is diluted in 500 mL of 5% dextrose in water, how many milligrams of the medication will be in 1 mL of D5W?

A.

0.5.

B.

50.

C.

500.

D.

5.

Answer and Explanation

The Correct Answer is D

The question asks how many milligrams of the medication will be in 1 mL of D5W. To find this, we need to know the concentration of the medication in the solution.

Concentration is the amount of medication per unit volume of solution. We can use this formula:

Concentration = Mass / Volume

We know that 250 mg of the medication is diluted in 500 mL of D5W. So we can plug these values into the formula:

Concentration = 250 mg / 500 mL Simplifying, we get:

Concentration = 0.5 mg / mL

This means that there are 0.5 mg of the medication in every 1 mL of D5W. So the answer is

  1. To check our answer, we can use another formula:

Mass = Concentration x Volume

If we want to find the mass of the medication in 1 mL of D5W, we can multiply the concentration by the volume:

Mass = 0.5 mg / mL x 1 mL Simplifying, we get:

Mass = 0.5 mg

This matches our answer.

The other choices are wrong because they do not use the correct formula or values. Here is why:

Choice A is wrong because it uses the inverse of the concentration (1 / 0.5) instead of the concentration (0.5).

Choice B is wrong because it uses the mass of the medication (250 mg) instead of the concentration (0.5 mg / mL).


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Related Questions

Correct Answer is D

Explanation

One drop left eye daily.

This is because it uses the correct abbreviation for left eye (os) and the correct frequency (daily).

The other choices are wrong because:

Choice A uses od which means right eye, not once daily.

Choice B uses ou which means both eyes, not each eye.

Choice C uses right ear which is not an eye drop medication. Some common eye drop prescription abbreviations are:

  • gt or gtt for drop or drops
  • od for right eye
  • os for left eye
  • ou for both eyes
  • bid for twice a day
  • tid for three times a day
  • qid for four times a day
  • prn for as needed

Correct Answer is B

Explanation

To find the rate of the pump in ml/hour, you need to first convert the client’s weight from pounds to kilograms. You can do this by dividing the weight by 2.2046 or multiplying it by 0.454.

For example:

297 lbs / 2.2046 = 134.72 kg or 297 lbs x 0.454 = 134.72 kg

Then, you need to multiply the client’s weight in kilograms by the ordered dose in units/kg/hour to get the total units per hour.

For example:

134.72 kg x 12 units/kg/hour = 1616.64 units/hour

Next, you need to set up a proportion to find the rate of the pump in ml/hour using the supplied medication concentration.

For example:

25,000 units / 500 ml = 1616.64 units / X ml Cross-multiply and solve for X:

25,000 x X = 808320 X = 808320 / 25000 X = 32.33 ml/hour

Finally, you need to round your answer to the nearest tenth of a ml/hour as per the medication administration guidelines.

For example:

32.33 ml/hour ≈ 32.3 ml/hour

Therefore, the rate of the pump is 32.3 ml/hour.

Choice A is wrong because it uses a different conversion factor for pounds to kilograms (1 lb = 0.5 kg) which is not accurate.

Choice C is wrong because it uses a different ordered dose (10 units/kg/hour) which is not what the provider has written.

Choice D is wrong because it uses a different supplied medication concentration (20,000 units in 500 ml) which is not what is available.

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