a. A freshly prepared 10g sample of carbon-14 has a half-life of 5730y. Calculate its decay constant to three significant figures.
b. Using the value of the decay constant obtained in part (i), determine the time required for the number of undecayed nuclei in the sample to be reduced to 1% of the original number.
c. Express the time obtained in part (ii) in (1) years and (2) years and months, assuming 1y=365d and 1month=30d. State each answer to the nearest whole unit.