Explain how the process of carbon dating works, and then justify why you could or could not use it in this case.

Carbon dating, also known as radiocarbon dating, is a method used by scientists to determine the age of organic material. Here's how it works:

1. Carbon-14 Formation: Carbon-14 (C-14), a radioactive isotope of carbon, is naturally produced in the atmosphere through the interaction of cosmic rays with nitrogen-14.

2. Absorption: Living organisms absorb carbon, both ordinary carbon (C-12) and carbon-14, through photosynthesis (for plants) or eating (for animals). As long as the organism is alive, the ratio of carbon-12 to carbon-14 remains relatively constant.

3. Death of the Organism: When the organism dies, it stops absorbing carbon. The carbon-14, however, continues to decay at a known rate.

4. Measurement: By measuring the ratio of carbon-12 to carbon-14 in a sample and comparing it to the ratio in a living organism, it is possible to determine the time of death of the organism.

As for the second part of your question, whether carbon dating could be used in a particular case depends on the specifics of that case.

Carbon dating is most effective for materials that are up to about 50,000 years old - beyond that, there's not enough carbon-14 left to accurately measure. It's also important that the material to be dated was once part of a living organism - rocks, for example, can't be carbon dated.

So, if the material you're looking at fits these criteria, carbon dating could be a useful tool. If not, other dating methods might be more appropriate.