Q4 / 90 · KVPY 2012 (SB/SX) · Chemistry

Typical electronic energy gaps in molecules are about $1.0 \mathrm{eV}$. In terms of temperature, the gap is closed to -

  • A
    $10^{2} \mathrm{~K}$
  • B
    $10^{4} \mathrm{~K}$
  • C
    $10^{3} \mathrm{~K}$
  • Correct answer
    D
    $10^{5} \mathrm{~K}$

Solution

$\begin{array}{l} \frac{3}{2} \mathrm{KT}=1.6 \times 10^{-19} \\ \frac{3}{2} \times 1.38 \times 10^{-23}=1.6 \times 10^{-19} \\ \mathrm{~T}=10^{5} \mathrm{~K} \end{array}$

Hence, the correct answer is option: 'D'.

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