Question

Mr. Avogadro started with 5.14x1022 atoms of Pa-234. Ten days later Mr. Avogadro calculated the original sample had only 6.43 X 1021 atoms of Pa-234. What s the half life of Pa-234?

Answer 1

Answer:

The half life of Pa-234 is approximately 0.0701656609 days

Step-by-step 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