Nuclear decay occurs according to first-order kinetics. How long will it take for a sample of radon-218 to decay from 99 g to 0.50 g? The half-life of radon-218 is 35 milliseconds. a. 2.6 x 102 ms.
b. 2.0 10 ms.
c. 1.1 x 10 ms.
d. 6.6 x 102 ms.

a. 2.6 x 102 ms

Explanation:

Initial mass [Ao] = 99 g

Final mass [A] = 0.50 g

Half life (t1/2) = 35 ms

Time ( t ) = ?

]The integrated rate law for first order reactions is given as;

To obtain k, we look at the expression for the half life of a first order reaction;

t1/2 = 0.693 / k

k = 0.693 / 35 = 0.0198 ms-1

ln[A] = ln[Ao] - kt

kt = ln[Ao] - ln[A]

t =   ( ln[Ao] - ln[A]  )  / k

t =  ( ln(99) - ln (0.50)  )  /  0.0198

t = 5.288 / 0.0198

t = 267.07 ms

correct option is;

a. 2.6 x 102 ms

water and alcohols have similar properties because water molecules contain hydroxyl groups that can form hydrogen bonds with other water molecules and with alcohol molecules, and likewise alcohol molecules can form hydrogen bonds with other alcohol molecules as well as with water.