<u>Answer:</u> The sample of Carbon-14 isotope is 37056.3 years old
<u>Explanation:</u>
The equation used to calculate rate constant from given half life for first order kinetics:
![t_{1/2}=\frac{0.693}{k}](https://tex.z-dn.net/?f=t_%7B1%2F2%7D%3D%5Cfrac%7B0.693%7D%7Bk%7D)
where,
= half life of the reaction = 5720 years
Putting values in above equation, we get:
![k=\frac{0.693}{5720yrs}=1.21\times 10^{-4}yrs^{-1}](https://tex.z-dn.net/?f=k%3D%5Cfrac%7B0.693%7D%7B5720yrs%7D%3D1.21%5Ctimes%2010%5E%7B-4%7Dyrs%5E%7B-1%7D)
Rate law expression for first order kinetics is given by the equation:
![k=\frac{2.303}{t}\log\frac{[A_o]}{[A]}](https://tex.z-dn.net/?f=k%3D%5Cfrac%7B2.303%7D%7Bt%7D%5Clog%5Cfrac%7B%5BA_o%5D%7D%7B%5BA%5D%7D)
where,
k = rate constant = ![1.21\times 10^{-4}yr^{-1}](https://tex.z-dn.net/?f=1.21%5Ctimes%2010%5E%7B-4%7Dyr%5E%7B-1%7D)
t = time taken for decay process = ? yr
= initial amount of the sample = 100 grams
[A] = amount left after decay process = (100 - 88.5) = 11.5 grams
Putting values in above equation, we get:
![1.21\times 10^{-4}=\frac{2.303}{t}\log\frac{100}{11.5}\\\\t=37056.3yrs](https://tex.z-dn.net/?f=1.21%5Ctimes%2010%5E%7B-4%7D%3D%5Cfrac%7B2.303%7D%7Bt%7D%5Clog%5Cfrac%7B100%7D%7B11.5%7D%5C%5C%5C%5Ct%3D37056.3yrs)
Hence, the sample of Carbon-14 isotope is 37056.3 years old
Answer:
-1, -2
Explanation:
West is left south is down east is right
Answer:
Evaporation
Explanation:
Evaporation turns liquid water into a gas called water vapor. If heat is taken away from water vapor, it condenses. Condensation turns water vapor into a liquid. If heat is taken away from liquid water, it freezes to become ice.