The decomposition of $N_2O_5$ is a first order reaction represented by $N_2O_5 \to N_2O_4 + \frac{1}{2} O_2$. After $15 \ min$,the volume of $O_2$ produced is $9 \ mL$ and at the end of the reaction,it is $35 \ mL$. The rate constant is equal to:
- A$\frac{1}{15} \ln \frac{35}{44}$
- B$\frac{1}{15} \ln \frac{44}{26}$
- C$\frac{1}{15} \ln \frac{44}{35}$
- D$\frac{1}{15} \ln \frac{35}{26}$
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