Respuesta :
Answer:
4.8 hours
Step-by-step explanation:
The formula for half life is given as:
t½ = t × In(2)/In(No/Nt)
Where
t½ = Half life
t = time in hours = 4
No = Initial amount = 10mg
Nt = Final amount after 3 hours = 6.5 mg
t½ = 3 × In(2) /In(10/6.5)
t½ = 4.8271216522281 hours
Approximately = 4.8 hours
The half-life of the medication, in hours, is 4.8 hours.
Given that,
- Medication is administered with a dose of 10 milligrams.
- After 3 hours there are 6.5 milligrams in the patient's system.
Based on the above information, the calculation is as follows:
The following formula should be used:
[tex]= t \times ln(2)\div ln(No\div Nt)[/tex]
Here
t denotes the time in hours i.e. 4
No means the Initial amount i.e. 10mg
Nt means Final amount after 3 hours i.e. 6.5 mg
So,
[tex]= 3 \times ln(2) \div ln(10\div 6.5)[/tex]
= 4.82
= 4.8 hours
Therefore we can conclude that the half-life of the medication, in hours, is 4.8 hours.
Learn more: brainly.com/question/24169758
