00:01
Hi, so to solve for this, this is radioactive decay, so we will use the formula for first order reaction.
00:09
Y is equivalent to y0 multiplied by 2 raised to the power of negative t over the half -life.
00:15
So y here is the remaining amount, the remaining amount, y0 is the initial amount, and t is the time elapsed, which is our unknown here.
00:27
This is the age of the wood, and then t1 half is the half -life of the compound, which is carbon -14 here.
00:37
So let's plug in the information that we have.
00:39
The remaining amount is 1 over 16 of the initial amount, so y0 multiplied by y0, there's no specific amount given, so we're just gonna write y0 multiplied by 2 raised to the power of negative t over unknown, the half -life of carbon -14 is 5730 years.
00:56
So that means we have 1 over 16 y0 divided by y0, and then we have here 2 raised to the power of negative t over 5730 years...