The rate of a chemical reaction doubles with every $10^{\circ}C$ rise in temperature. If the reaction is carried out in the vicinity of $22^{\circ}C$,the activation energy of the reaction is (Given $R = 8.3 \ J \ K^{-1} \ mol^{-1}$,$\ln 2 = 0.69$ and $\ln 3 = 1.1$)

  • A
    $1.69 \ kJ \ mol^{-1}$
  • B
    $0.169 \ kJ \ mol^{-1}$
  • C
    $49.8 \ kJ \ mol^{-1}$
  • D
    $498 \ J \ mol^{-1}$

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