a sample of wood is found to contain 1/4 as much Carbon as is present in da wood of living. wat is the age ?

Question

what is the approximately age, in yars, of this sample of wood?

Answer 1

That depends on the ratio of carbon isotope(s) present, and not on the amount of carbon. Therefore it is not possible to answer your question as it is worded.

Radiocarbon dating is based on the known decay rate of the radioactive isotope of carbon C-14, which has a half life of about 5700 years (the older Libby standard says it is 5568 years). Corrections for cosmic ray bombardment are necessary to give more accurate data. Knowing the amount of total carbon in the wood sample is useless, unless you know how much of each isotope is present.

If your question really means that 3/4 of the C-14 has decayed to C-12 (ie, 1/4 of the C-14 is remaining), that means it took 5700 years for the first half to decay, and another 5700 years for the second half to decay. Do the math: 5700 + 5700 = 11,400 years old.

By the way, you should work on your grammar and spelling. I see 8 mistakes in your question.