# Radioactive carbon dating equation

In contrast, living material exhibit an activity of 14 d/min.g.Thus, using **Equation** \(\ref\), \[\ln \dfrac = (1.21 \times 10^) t \nonumber\] Thus, \[t= \dfrac = 2 \times 10^3 \text \nonumber\] From the measurement performed in 1947 the Dead Sea Scrolls were determined to be 2000 years old giving them a date of 53 BC, and confirming their authenticity.The **carbon**-14 isotope would vanish from Earth's atmosphere in less than a million years were it not for the constant influx of cosmic rays interacting with molecules of nitrogen (NFigure 1: Diagram of the formation of **carbon**-14 (forward), the decay of **carbon**-14 (reverse).

It has been determined that the rate of **radioactive** decay is first order.Using this hypothesis, the initial half-life he determined was 5568 give or take 30 years.The accuracy of this proposal was proven by **dating** a piece of wood from an Ancient Egyptian barge, of whose age was already known.Before Radiocarbon **dating** was able to be discovered, someone had to find the existence of the C isotope.In 1940 Martin Kamen and Sam Ruben at the University of California, Berkeley Radiation Laboratory did just that.