Chemical Kinetics Question 250

Question: In the reaction $ 2N_2O_5\to 4NO_2+O_2 $ , initial pressure is $ 500atm $ and rate constant $ K $ is $ 3.38\times {10^{-5}}{{\sec }^{-1}} $ . After 10 minutes the final pressure of $ N_2O_5 $ is [Orissa JEE 2005]

Options:

A) 490 atm

B) 250 atm

C) 480 atm

D) 420 atm

Show Answer

Answer:

Correct Answer: A

Solution:

$ p_0=500atm $

$ K=\frac{2.303}{t}{\log_{10}}\frac{p_0}{p_{t}} $

$ 3.38\times {10^{-5}}=\frac{2.303}{10\times 60}\log \frac{500}{p_{t}} $ or $ 0.00880=\log \frac{500}{p_{t}}\Rightarrow \frac{500}{1.023}=489atm $



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