For the reaction $A_{(g)} \rightarrow B_{(g)} + C_{(g)}$,the rate law is $R = k[A]$. At the start $(t = 0)$,the total pressure is $100 \ mm$ and after $t = 10 \ min$,the total pressure is $120 \ mm$. The rate constant $(min^{-1})$ is:

  • A
    $\frac{2.303}{10} \log \frac{120}{100}$
  • B
    $\frac{2.303}{10} \log \frac{100}{20}$
  • C
    $\frac{2.303}{10} \log \frac{100}{80}$
  • D
    $\frac{2.303}{10} \log \frac{100}{120}$

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