Ba-122 has half life of 2 minutes. An experiment has to be done using Ba-122 and it takes 10 minutes to set up the experiment if initially 80 gm of Ba -122 was taken how much Ba -122 was left when experiment was started?

Question

Ba-122 has half life of 2 minutes. An experiment has to be done using Ba-122 and it takes 10 minutes to set up the experiment if initially 80 gm of Ba -122 was taken how much Ba -122 was left when experiment was started? (A) 2.5 gm (B) 5 gm (C) 10 gm (D) 20 gm

Tardigrade Admin · Accepted Answer

Given, half life t1 / 2=2 min Total time, T =10 min No. of half life, n =(10/-2)=5 Then remaining Ba-122 is given by, ⇒ (N0/2n)=(80/25)=(80/32)=2.5

Q. Ba-122 has half life of $2$ minutes. An experiment has to be done using Ba-122 and it takes $10$ minutes to set up the experiment if initially $80 g m$ of $B a - 122$ was taken how much $B a - 122$ was left when experiment was started?

2.5 gm

5 gm

10 gm

20 gm

Given, half life $t_{1/2} = 2 min$
Total time, $T = 10 min$
No. of half life, $n = \frac{10}{- 2} = 5$
Then remaining Ba-122 is given by, $\Rightarrow \frac{N _{0}}{2 ^{n}} = \frac{80}{2 ^{5}} = \frac{80}{32} = 2.5$

Q. Ba-122 has half life of 2 minutes. An experiment has to be done using Ba-122 and it takes 10 minutes to set up the experiment if initially 80gm of Ba−122 was taken how much Ba−122 was left when experiment was started?