Answer:
(a) 1.05 × 10²¹ atoms of C
(b) 1.37 × 10⁹ atoms of C-14
(c) k = 3.13 × 10⁻¹² s⁻¹
(d) 951 decays/wk
(e) 9950 yr
Step-by-step explanation:
(a) Number of C atoms
(i) Moles of C

(ii) Number of C atoms

(b) Number of C-14 atoms

(c) Decay constant

(d) Corrected decays
The counter is only 88.0 % efficient.

(e) Age of specimen
The equation for the activity A of a sample is
A = kN
When the specimen was alive, the activity was

Now, the activity of the specimen is 951 atoms/wk.
