Answer
$T = 699K \approx 7.0 \times 10^2K$
Work Step by Step
Use the same formula $ P(E) = \frac{1}{e^{E_1 - E_F/kT} + 1}$
Now rearrange the equation to find T
$T = \frac{\Delta E}{k ln (\frac{1}{p} - 1)}$
For
$ E = 5.6 eV$,
$E_F=5.5eV$
$k = 1.38 \times 10^{-23} J/K$
$P= 0.16$
Now solve for T
$T = \frac{(5.6 V - 5.5 eV)(1.602 \times 10^{-19} J/eV)}{(1.38 \times 10^{-23} J/K) ln (\frac{1}{0.16} - 1)}$
$T = 699K \approx 7.0 \times 10^2K$
