58 831
Assignments Done
Successfully Done
In March 2018
Your physics homework can be a real challenge, and the due date can be really close — feel free to use our assistance and get the desired result.
Be sure that math assignments completed by our experts will be error-free and done according to your instructions specified in the submitted order form.
Our experts will gladly share their knowledge and help you with programming homework. Keep up with the world’s newest programming trends.

Answer on Physical Chemistry Question for ramya sarvani

Question #24536
the half life of a radio active metal is one hour.what would be the time required for 99.9% completion?
Expert's answer
The reaction of radioactive transformation is the first order reaction. That's why the rate equation is

dN / dτ = λN

After integrating when τ= 0& --> N = N0 we have
tau; = τ --> N = N

ln(N/ N0) = - λτ &
or N = N0 x e- λτ& &

where N - the amount of atoms at time τ
N0 - he amount of atoms in the beginning of reaction
& lambda; - the coefficient, that depends on the kind of the radionuclide

The half-life time -& the time interval required for an amount of certain radioactive nuclei to decay to its half of original value &
The equation for the half life time is

tau;1/2& = ln 2/ λ= 0,69 / λ &
lambda; = 0,69 /& τ1/2 &
from& the task& tau;1/2 = 1 hour. That's why lambda; = 0,69 / 1 = 0,69 (hour^-1)
N/N0 = (1-0,999)N0/N0 =& exp(- λτ)
0,001 = exp (-0,69 x τ)
ln0,001 = -0,69 x τ
τ = ln0,001/(-0,69) = -6,9/(-0,69) = 10 hours


The time required for 99,9% completion is 10 hours

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!


No comments. Be first!

Leave a comment

Ask Your question