Question

The standard entropy change for the reaction $4Fe(s) + 3O_2(g) → 2Fe_2O_3(s)$ is $–550\ J K^{–1}$ at $298\ K$. The temperature in K at which the reaction attains equilibrium is ______. (Nearest Integer)
[Given: The standard enthalpy change for the reaction is $–165\ kJmol^{–1}$].

Answer 1

$∵ △S =\frac {△H}{T}$
So, the temperature at which the reaction attains equilibrium,
$T = \frac {△H}{△S}$

$T= \frac {165\times 10^3}{550}$

$T= 300\ K$

So, the answer is $300\ K$.