Answer:
The half life of Pa-234 is approximately 0.0701656609 days
Explanation:
The formula for half life is calculated as:
t½ = t.In(2)/In(No/Nt)
Where:
t½ = Half life of the substance in days
t = Time elapsed in days
No = Beginning amount
Nt = End Amount
In the question,
t = Time elapsed = 10 days
No = Beginning amount = 5.14 × 10²²
Nt = End Amount = 6.43 × 10²¹
t½ = t.In(2)/In(No/Nt)
t½ = 10.In(2)/In(5.14 × 10²²/6.43 × 10²¹)
t½ = 6.9314718056/98.78723754
t½ = 0.0701656609 days
The half life of Pa-234 is approximately 0.0701656609 days