Chemical Kinetics Question 206

Question: The rate of a first order reaction is $ 1.5\times {10^{-2}}\ mol{L^{-1}}\ {{\min }^{-1}} $ at 0.5 M concentration of the reactant. The half life of the reaction is [CBSE PMT 2004]

Options:

A) 8.73 min

B) 7.53 min

C) 0.383 min

D) 23.1 min

Show Answer

Answer:

Correct Answer: D

Solution:

Rate $ ( \frac{dx}{dt} )=K\ .\ c $ ; $ 1.5\times {10^{-2}}=K\times 0.5 $ For first order $ K=\frac{1.5\times {10^{-2}}}{0.5}=3\times {10^{-2}}\min ut{e^{-1}} $

$ {t_{1/2}}=\frac{.693}{K}=\frac{.693}{3\times {10^{-2}}}=23.1\ \min ute $ .



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