57 587
Assignments Done
98,9%
Successfully Done
In February 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 Solid State Physics Question for JOEL LOBO

Question #2151
The fraction of vacancy sites in a metal is 1X10-10 at 500C. What will be the
fraction of vacancy sites at double the temperature?
Expert's answer
The fraction of vacant sites is given by the following expression:

<img src="/cgi-bin/mimetex.cgi?%5Cfrac%7BN_%7B%5Cnu%7D%7D%7BN%7D%20=%20e%5E%7B%5Cleft%20%28%20-%5Cfrac%7BQ_%7B%5Cnu%7D%7D%7BkT%7D%20%5Cright%20%29%7D" title="\frac{N_{\nu}}{N} = e^{\left ( -\frac{Q_{\nu}}{kT} \right )}">

At 500C we can find the activation energy :
<img src="http://latex.codecogs.com/gif.latex?Q_%7B%5Cnu%7D%20=%20%5Cln%20%7B%5Cfrac%7BN_%7B%5Cnu%7D%7D%7BN%7D%7DkT%20=%20-%5Cln%7B1%20%5Ctimes%2010%5E%7B-10%7D%7D%5Ccdot%208.31%5Ccdot%28500+273%29%20=%20147909.5%20%5C%20J/mol" title="Q_{\nu} = \ln {\frac{N_{\nu}}{N}}kT = -\ln{1 \times 10^{-10}}\cdot 8.31\cdot(500+273) = 147909.5 \ J/mol">

At double temperature 1000C = 1000+273 = 1273K the fraction fo vacant sites is:
<img src="http://latex.codecogs.com/gif.latex?%5Cfrac%7BN_%7B%5Cnu%7D%7D%7BN%7D%20=%20e%5E%7B%5Cleft%20%28%20-%5Cfrac%7B147909.5%7D%7B8.31%5Ccdot1273%7D%20%5Cright%20%29%7D%20=%200.85%20%5Ctimes%2010%5E%7B-8%7D" title="\frac{N_{\nu}}{N} = e^{\left ( -\frac{147909.5}{8.31\cdot1273} \right )} = 0.85 \times 10^{-8}">

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!

Comments

No comments. Be first!

Leave a comment

Ask Your question