Answer: 2948
Explanation:
Half life is the amount of time taken by a radioactive material to decay to half of its original value.
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 = 100
a - x = amount left after decay process = 
Thus the fossil is 2948 years old.
Answer:
is the limiting reagent and
is the excess reagent.
Explanation:
To calculate the moles :

The balanced chemical reaction is:
According to stoichiometry :
3 moles of
require = 1 mole of
Thus 0.960 moles of
will require=
of
Thus
is the limiting reagent as it limits the formation of product and
is the excess reagent as it is left.