Gold! it's boiling point is 2807 according to this chart:
http://www.lenntech.com/periodic-chart-elements/boiling-point.htm
Answer:
0.9715 Fraction of Pu-239 will be remain after 1000 years.
Explanation:
![\lambda =\frac{0.693}{t_{\frac{1}{2}}}](https://tex.z-dn.net/?f=%5Clambda%20%3D%5Cfrac%7B0.693%7D%7Bt_%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D)
![A=A_o\times e^{-\lambda t}](https://tex.z-dn.net/?f=A%3DA_o%5Ctimes%20e%5E%7B-%5Clambda%20t%7D)
Where:
= decay constant
=concentration left after time t
= Half life of the sample
Half life of Pu-239 =
[
![\lambda =\frac{0.693}{24,000 y}=2.8875\times 10^{-5} y^{-1]](https://tex.z-dn.net/?f=%5Clambda%20%3D%5Cfrac%7B0.693%7D%7B24%2C000%20y%7D%3D2.8875%5Ctimes%2010%5E%7B-5%7D%20y%5E%7B-1%5D)
Let us say amount present of Pu-239 today = ![A_o=x](https://tex.z-dn.net/?f=A_o%3Dx)
A = ?
![A=x\times e^{-2.8875\times 10^{-5} y^{-1]\times 1000 y}](https://tex.z-dn.net/?f=A%3Dx%5Ctimes%20e%5E%7B-2.8875%5Ctimes%2010%5E%7B-5%7D%20y%5E%7B-1%5D%5Ctimes%201000%20y%7D)
![A=0.9715\times x](https://tex.z-dn.net/?f=A%3D0.9715%5Ctimes%20x)
![\frac{A}{A_0}=\frac{A}{x}=0.9715](https://tex.z-dn.net/?f=%5Cfrac%7BA%7D%7BA_0%7D%3D%5Cfrac%7BA%7D%7Bx%7D%3D0.9715)
0.9715 Fraction of Pu-239 will be remain after 1000 years.
Answer:
1) positive
2) carbocation
3) most stable
4) faster
Explanation:
A common test for the presence of alcohols can be achieved using the Lucas reagent. Lucas reagent is a mixture of concentrated hydrochloric acid and zinc chloride.
The reaction of Lucas reagent reacts with alcohols leading to the formation of an alkyl chloride. Since the reaction proceeds via a carbocation mechanism, tertiary alcohols give an immediate reaction. Once a tertiary alcohol is mixed with Lucas reagent, the solution turns cloudy almost immediately indicating an instant positive reaction.
Secondary alcohols may turn cloudy within five minutes of mixing the solutions. Primary alcohols do not significantly react with Lucas reagent obviously because they do not form stable carbocations.
Therefore we can use the Lucas reagent to distinguish between primary, secondary and tertiary alcohols.