Question

In: Chemistry

HC is a 55 year old female on a continuous infusion of an antibiotic. The total...

HC is a 55 year old female on a continuous infusion of an antibiotic. The total dose that will be given is 1500 mg over 16 hours. The volume of distribution is 51 L and the drug half life is 6.5 hours.

What is the plasma drug concentration if a blood sample is taken 17 hours after the infusion began? Note: Please provide your answer in units of mg/L.

____

Solutions

Expert Solution

Half life of the drug is 6.5 hours.

Half life of a first order reaction is,

t1/2= 0.693/k

So, k= 0.693/t1/2

k= 0.693/ (6.5 *60*60)s

k= 2.96 * 10-5s-1

Total dose given in 16 hours is 1500 mg. So, to find the concentration of the drug after 17 hours, we have to do the following.

From the equation for first order reaction,

ln [A]t = ln[A]0 -kt

[A]0=1500 mg

t=1 hour = 3600 s

k = 2.96 * 10-5 s-1

So,

ln [A]t= ln [1500] - 2.96 * 10-5s-1 * 3600 s

ln [A]t= 7.21

[A]t= e7.21 = 1574 mg

Drug concentration after 17 hours is 1574 mg.

queen_honey_blossom answered 1 year ago
Next > < Previous

Related Solutions

JT is a 20 year old female on a continuous infusion of an antibiotic. The total...
JT is a 20 year old female on a continuous infusion of an antibiotic. The total dose that will be given is 1500 mg over 24 hours. The volume of distribution is 69 L and the drug half life is 6.7 hours. What is the plasma drug concentration if a blood sample is taken 29 hours after the infusion began? Note: Please provide your answer in units of mg/L.
a. Mrs. Ho is a 55 year old female with a five year history of type...
a. Mrs. Ho is a 55 year old female with a five year history of type 2 diabetes and hypertension. She has been brought into the ER via an ambulance. While at home watching TV on her sofa, she developed crushing sub-sternal chest pain (9/10) which radiates to her back and left arm. She took a S.L. nitroglycerin and five minutes later took another when the pain did not subside. She called 911. She is very frightened because her chest...
JL is a 59 year old male who is administered a drug via continuous IV infusion....
JL is a 59 year old male who is administered a drug via continuous IV infusion. The volume of distribution is 65 L and a half life of 10 hours. The drug concentration 31 hours after the infusion was started is reported to be 1.01 mg/L. What is the rate of infusion? Note: Assume the infusion is ongoing. Please provide your answer in units of mg/hr. _________
A 55-year old buys a continuous increasing whole life insurance. The benefit payable at the moment...
A 55-year old buys a continuous increasing whole life insurance. The benefit payable at the moment of death (time t) is equal to bt=1000t. Mortality is DeMoivre, with ω=100;δ=0.06 Find the Net Single Premium of this insurance.
Nursing Operating Theatre Assignment A 55 year old female client is scheduled for an exploratory laparotomy....
Nursing Operating Theatre Assignment A 55 year old female client is scheduled for an exploratory laparotomy. The client has been experiencing abdominal symptoms for several months. A baseline assessment of all symptoms was conducted. Answer the following and explain in details to the client following: . 1. The importance of coughing, deep breathing and leg exercises The client has also signed an informed consent for the surgery. The nurse has completed the client’s physical preparation for the surgery. The client...
A 55-year-old female patient comes into the clinic who was recently who was recently diagnosed with...
A 55-year-old female patient comes into the clinic who was recently who was recently diagnosed with type 2 diabetes after her visit to a health fair. As the nurse, you initiate patient education on basic diabetic care and the woman asks questions about diet and exercise and how these relate to blood glucose levels.  Find an appropriate piece of education material for this patient from the list of resources and explain to the patient why these are important.
Amnah is a 55-year-old female patient who has been admitted to the medical ward with acute...
Amnah is a 55-year-old female patient who has been admitted to the medical ward with acute shortness of breath, chesty cough, wheezing and chest discomfort. Amnah’s vital signs were: SpO2 82% on room air, BP 150/90 mmHg, Pulse 110 beats/min, RR 28 breaths/min, and Temperature 38.7 °C. Amnah has a history of COPD and hypertension for 15 years. She was also diagnosed with heart failure 2 years ago. While doing the physical examination, the patient seemed to use her accessory...
Case Study Amnah is a 55-year-old female patient who has been admitted to the medical ward...
Case Study Amnah is a 55-year-old female patient who has been admitted to the medical ward with acute shortness of breath, chesty cough, wheezing and chest discomfort. Amnah’s vital signs were: SpO2 82% on room air, BP 150/90 mmHg, Pulse 110 beats/min, RR 28 breaths/min, and Temperature 38.7 °C. Amnah has a history of COPD and hypertension for 15 years. She was also diagnosed with heart failure 2 years ago. While doing the physical examination, the patient seemed to use...
Case Study Amnah is a 55-year-old female patient who has been admitted to the medical ward...
Case Study Amnah is a 55-year-old female patient who has been admitted to the medical ward with acute shortness of breath, chesty cough, wheezing and chest discomfort. Amnah’s vital signs were: SpO2 82% on room air, BP 150/90 mmHg, Pulse 110 beats/min, RR 28 breaths/min, and Temperature 38.7 °C. Amnah has a history of COPD and hypertension for 15 years. She was also diagnosed with heart failure 2 years ago. While doing the physical examination, the patient seemed to use...
Case Study Amnah is a 55-year-old female patient who has been admitted to the medical ward...
Case Study Amnah is a 55-year-old female patient who has been admitted to the medical ward with acute shortness of breath, chesty cough, wheezing and chest discomfort. Amnah’s vital signs were: SpO2 82% on room air, BP 150/90 mmHg, Pulse 110 beats/min, RR 28 breaths/min, and Temperature 38.7 °C. Amnah has a history of COPD and hypertension for 15 years. She was also diagnosed with heart failure 2 years ago. While doing the physical examination, the patient seemed to use...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT