What should the ^14_6C content (in percent of y0) of a fossilized tree that is claimed to be 3000 years old?

The current mass fraction of should be approximately 68.8 percent.

Explanation:

is a radioactive isotope with a halflife of 5568 years. The decay of any radioisotope is modelled after the following ordinary differential equation:

Where:

- Current mass of the isotope, measured in grams.

- Time constant, measured in years.

The solution of this equation is of the form:

Where:

- Time, measured in years.

- Initial mass of the isotope, measured in grams.

The time constant can be found as a function of halflife ():

If and , the mass fraction of is:

The current mass fraction of should be approximately 68.8 percent.

plasma is the state of matter where the substance is ionized and has no definite shape or volume. the fact of being ionized makes the substance a good electrical conductor.