Home
Class 12
CHEMISTRY
8g of the radioactive isotope, cesium -1...

8g of the radioactive isotope, cesium -137 were collected on February 1 and kept in a sealed tube. On July 1, it was found that only 0.25 g of it remained. So the half-life period of the isotope is

A

37.5 days

B

30 days

C

25 days

D

50 days

Text Solution

Verified by Experts

The correct Answer is:
B
t= Feb 1 to July 1 = 28+31+30+31+30= 150 days
`lambda = (2.303)/(150) log (8)/(0.25) = (2.303)/(150) log 2^5 = (0.693)/(30) "day"^(-1)`
`t_(1//2) = (0.693)/(0.693//30) = 30 ` days
Promotional Banner

Similar Questions

Explore conceptually related problems

The radioactive isotope of cerium - 137 of weigh 8g was collected on 1st Feb. 2006 kept in a sealed tube. On 1st July, 2006, it was found that only 0.25g of it remained. The half life period of the isotope is:

An isotope decays to 1//16^(th) of its mass in 1h. What is the half-life period of the isotope?

10 g of a radioactive isotope is reduced to 1.25 g in 12 years. Therefore half-life period of the isotope is

After 24 hour, only 0.125" g" out of the initial quantity of 1 g of a radioactive isotope remains behind. The half-life period of the radioactive isotope in hours is