Chemical Kinetics Question 320

Question: For a first order reaction $ A\to B $ the reaction rate at reactant concentration of 0.01 M is found to be $ 2.0\times {10^{-5}}mol{L^{-1}}{s^{-1}} $ . The half-life period of the reaction is

Options:

A) 30 s

B) 220 s

C) 300 s

D) 347 s

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Answer:

Correct Answer: D

Solution:

[d] Given $ [ A ]=0.01M $ Rate $ =2.0\times {10^{-5}}mol{L^{-1}}{s^{-1}} $ For a first order reaction Rate $ =k[ A ] $

$ k=\frac{2.0\times {10^{-5}}}{[0.01]}=2\times {10^{-3}} $

$ {t_{1/2}}=\frac{0.693}{2\times {10^{-3}}}=347\sec $



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