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The temperature dependence of the rate constant $k$ is expressed as $k\, =\, A\,\, e^{-E_a /RT}$ . When a plot between $log\, k$ and $1/T$ is plotted we get the graph as shown. What is the value of slope in the graph ?

• A
  $\frac{{{E_a}}}{{RT}}$
• ✓
  $- \frac{{{E_a}}}{{2.303R}}$
• C
  $ - \frac{{{E_a}}}{{2.303RT}}\log \,A$
• D
  $- \frac{{{E_a}}}{{2.303}}\,\frac{R}{T}$