SOLUTION: The half life of Carbon-14 is 5730 years. How long would it take for a sixteen gram sample to decay to 1 gram?

Question 202856: The half life of Carbon-14 is 5730 years. How long would it take for a sixteen gram sample to decay to 1 gram?
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
x=x(0) * 2^(-t/h),,,,where h = half life, x(0) start matl, x= end matl,,,t=time
.
1=(16) *2^(-t/5730)
,
1/16 =2^(-t/5730)
.
remember log a^b = b* log a
.
log (1/16) = (-t/5730) * log 2
,
log(1/16) / log(2) = -t/5730
.
-4 = -t/5730
.
+22,920 = t,,,(yrs)
.
check, 16 * 2^(-22920/5730) = 1,,,,,ok

RELATED QUESTIONS
The half life of carbon-14 is 5730 years. A sample has 5 grams of carbon-14 initially,... (answered by Fombitz)

Please explain each part thoroughly. The half-life of carbon-14 is 5770 years. a.... (answered by josgarithmetic)

The half-life of carbon-14 is 5770 years. a. If you start with 1 gram of carbon-14, how (answered by josgarithmetic)

Radium-226 is a radioactive element with a half-life of 1600 years. How much of a 1000... (answered by ankor@dixie-net.com)

uranium-235 is used as fuel for some nuclear reactors. it has a half life of 710 million... (answered by ankor@dixie-net.com)

The half-life of carbon-14 is 5730 years. How long does it take for 3.4 grams of... (answered by solver91311)

Plutonium 239 is used as fuel for some nuclear reactors, and also as the fissionable... (answered by ankor@dixie-net.com)

Question-2: A 100 grams of a radioactive substance is expected to decay exponentially to... (answered by stanbon)

Plants, which get their carbon dioxide from the air, contain small amounts of carbon-14.... (answered by ankor@dixie-net.com)