During a laboratory test, a wooden artifact shows a count rate of 5.0dpmg−1. The background count of the apparatus is 0.5dpmg−1. For living wood the activity is 15.6dpmg−1. The half-life of 14C is 5730yr.
a. (i) Find the true activity of the artifact after correcting for background.
b. (ii) Estimate the age of the artifact.