High School

The dosage of a particular drug is 0.0050 micrograms per kg of body mass. The drug is sold in a solution that contains 0.10 micrograms in 1.0 mL of solution. How many mL of solution are needed for a single dose for a person weighing 114 kg?

Answer :

Final answer:

A person weighing 114 kg requires 5.7 mL of solution for a single dose of the drug.

Explanation:

To calculate the volume of solution needed for a single dose for a person weighing 114 kg, we can use the given dosage information and the weight of the person.

The dosage of the drug is 0.0050 micrograms per kg of body mass. This means that for every 1 kg of body mass, the person needs 0.0050 micrograms of the drug.

For a person weighing 114 kg, we can calculate the total dosage needed by multiplying the weight by the dosage:

Total dosage = 114 kg * 0.0050 micrograms/kg = 0.57 micrograms

Next, we can calculate the volume of solution needed by dividing the total dosage by the concentration of the solution:

Volume of solution = Total dosage / Concentration of solution

Concentration of solution = 0.10 micrograms/1.0 mL = 0.10 micrograms/mL

Volume of solution = 0.57 micrograms / 0.10 micrograms/mL = 5.7 mL

Therefore, for a person weighing 114 kg, a single dose of the drug requires 5.7 mL of solution.

Learn more about a drug based on body mass here:

https://brainly.com/question/10875363

#SPJ14

Final answer:

A person weighing 114 kg requires 5.7 mL of solution for a single dose of the drug.

Explanation:

To calculate the volume of solution needed for a single dose for a person weighing 114 kg, we can use the given dosage information and the weight of the person.

The dosage of the drug is 0.0050 micrograms per kg of body mass. This means that for every 1 kg of body mass, the person needs 0.0050 micrograms of the drug.

For a person weighing 114 kg, we can calculate the total dosage needed by multiplying the weight by the dosage:

Total dosage = 114 kg * 0.0050 micrograms/kg = 0.57 micrograms

Next, we can calculate the volume of solution needed by dividing the total dosage by the concentration of the solution:

Volume of solution = Total dosage / Concentration of solution

Concentration of solution = 0.10 micrograms/1.0 mL = 0.10 micrograms/mL

Volume of solution = 0.57 micrograms / 0.10 micrograms/mL = 5.7 mL

Therefore, for a person weighing 114 kg, a single dose of the drug requires 5.7 mL of solution.

Learn more about calculating the volume of solution needed for a single dose of a drug based on body mass here:

https://brainly.com/question/10875363

#SPJ14