Question

Chapter 04, Reserve Problem 01: Energy from temperature x Incorrect The number of vacancies in some hypothetical metal increases by a factor of 4 when the temperature is increased from 1000 K to 1180 K. Calculate the energy (in kJ/mol) for vacancy formation assuming that the density of the metal remains the same over this temperature range. || 1.255e-22 kJ/mol

Answer 1

(If the answer is wrong, or if I did attempt any mistakes, or if you need more explanations, please let me know via comment section. I'll fix it immediately at any cost, because I'm aiming at a zero thumbs down month ! :)

_______________________________________________

Given that:

Factor by which the number of vacancies increased, f = 4

We have:

$\small \ln f=\frac{-E}{R}\left ( \frac{1}{T_{2}}-\frac{1}{T_{1}} \right )$

Substituting Given values to find energy for vacancy formation:

E In(4) = (8.314 x 10-3 kJ/mol.k) (1180 K™ 1000K)

In(4)(8.314 x 10-3kJ/mol.k) 1.525 x 10-3K

E = 75.56 kJ/mol + (answer)

(Please rate the answer if you are satisfied. In case of any queries, please reach out to me via comments)