For a gaseous reaction, following data is given:

$\mathrm{A}\mathrm{ }⟶\mathrm{ }\mathrm{B},\mathrm{ }{\mathrm{k}}_1={10}^{15}\mathrm{ }{\mathrm{e}}^{-2000/\mathrm{T}}$

$\mathrm{C}\mathrm{ }⟶\mathrm{ }\mathrm{D},\mathrm{ }{\mathrm{k}}_2={10}^{14}\mathrm{ }{\mathrm{e}}^{-1000/\mathrm{T}}$

The temperature at which ${\mathrm{k}}_1={\mathrm{k}}_2$ is :

• A

  $1000\mathrm{ }\mathrm{K}$
• B

  $2000\mathrm{ }\mathrm{K}$
• C

  $868.82\mathrm{ }\mathrm{K}$
• Correct answer
  D

  $434.2\mathrm{ }\mathrm{K}$

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