The table shows how far an average truck drive drives over the course of 10 points
9 days: What is the average rate of change from day 3 to day 8?*

a)

b) 3.15 weeks.

c) 0.11 grams

Step-by-step explanation:

a) radioactive decay follows first order kinetics and thus Expression for rate law for first order kinetics is given by:

where,

k = rate constant  = ?

t = time taken for decomposition = 1 week

a = initial amount of the reactant  = 1 g

a - x = amount left after decay process  = 0.8 g

Now put all the given values in above equation, we get

2) To calculate the half life, we use the formula :

Thus half life of Thorium 234 is 3.15 weeks.

3) amount of Thorium 234 present after 10 weeks:

Thus amount of Thorium 234 present after 10 weeks is 0.11 grams