Chemical Kinetics Question 55
Question: The specific rate constant of the decomposition of $ N_2O_5 $ is 0.008 $ {{\min }^{-1}} $ . The volume of $ O_2 $ collected after 20 minutes is 16 mL. find the volume that would be collected at the end of reaction. $ NO_2 $ formed is dissolved in $ CCl_4 $
Options:
A) 17.49 mL
B) 27.49 mL
C) 37.49 mL
D) 47.49 mL
Show Answer
Answer:
Correct Answer: A
Solution:
[a] Given k = 0.008 $ {{\min }^{-1}} $ From
$ \therefore k=\frac{2.303}{t}\log \frac{{V_{\infty }}}{{V_{\infty }}-V_{t}} $
$ \Rightarrow 0.008=\frac{2.303}{20}\log \frac{{V_{\infty }}}{{V_{\infty }}-16} $
$ \Rightarrow 0.0695=\log \frac{{V_{\infty }}}{{V_{\infty }}-16} $
$ \Rightarrow {V_{\infty }}=17.49mL $
