Answer to Question #266024 in Python for Kelly

Question

Radioactive decay of radioactive materials can be modeled by the equation

A=A0e–t(In2/h), where

A is the amount of the material at time t, A0 is the amount at time 0, and h is the half-life.

Technetium-99 is a radioisotope that is used in imaging of the brain. It has a half-life of 6 hours.

Your program should display the relative amount A/A0 in a patient body every hour for 24 hours after receiving a dose.

Note:

With the aid of formatting techniques documented in your note, ensure your program output matches that given below.

Program Output

1: 0.890899

2: 0.793701

3: 0.707107

4: 0.629961

5: 0.561231

6: 0.500000

7: 0.445449

8: 0.396850

9: 0.353553

10: 0.314980

11: 0.280616

12: 0.250000

13: 0.222725

14: 0.198425

15: 0.176777

16: 0.157490

17: 0.140308

18: 0.125000

19: 0.111362

20: 0.099213

21: 0.088388

22: 0.078745

23: 0.070154

24: 0.062500

Answer 1

mport math 
ao = float(input('Enter A0: '))
h = float(input('Enter h: '))
for t in range(1, 25):
	a = ao * math.e ** (-t * (math.log(2) / h))
	print('%d: %6f' %(t, a))