Chemical Kinetics Question 86

Question: A reaction that is of the first order with respect to reactant A has a rate constant $ 6{{\min }^{-1}}. $ If we start with $ [A]=0.5,mol{l^{-1}} $ , when would $ [A] $ reach the value 0.05mol $ {l^{-1}} $ [KCET 2000]

Options:

A) 0.384 min

B) 0.15 min

C) 3 min

D) 3.84 min

Show Answer

Answer:

Correct Answer: A

Solution:

We know that for first order kinetics

$ k=\frac{2.303}{t}\log \frac{a}{a-x} $

$ (a-x)=0.05mol{l^{-1}} $ , $ 6=\frac{2.303}{t}\log \frac{0.5}{0.05} $ or $ t=\frac{2.303}{6}\log \frac{0.5}{0.05}=\frac{2.303}{6}=0.384,\min $



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