Element X is a radioactive isotope such that every 22 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 50 grams, how long
would it be until the mass of the sample reached 41 grams, to the nearest tenth of a
year?

The time taken for the mass to reduce from 50 g to 41 g is 6 years

Step-by-step explanation:

Expression for rate law for first order kinetics is given by

where,

k = rate constant  

t = age of sample

a = let initial amount of the reactant  

a - x = amount left after decay process  

a) for completion of half life:

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

b) for mass to reduce from 50 g to 41 g

The time taken for the mass to reduce from 50 g to 41 g is 6 years

7. 153.86 ft

8. 12.56 ft

9. 78.5 m

10. 379.94 in

11. 132.665 m

12. 12.56 yd

13. 226.865 ft

14. 113.04 ft

15. 63.585 ft

16. 254.34 m

17. 50.24 cm

step-by-step explanation:

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answer: a.

step-by-step explanation: the answer is a. because, you need to converge the fractions to find a solution.