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A reaction that is of the first order with respect to reactant \mathrm{A}  has a rate constant \mathrm{6 \mathrm{~min}^{-1}} . If we start with  \mathrm{[\mathrm{A}]=0.3 \mathrm{~mol}~ \mathrm{l}^{-1}}, when would \mathrm{[\mathrm{A}]}  reach the value \mathrm{0.03 \mathrm{~mol}~ \mathrm{l}^{-1}} ?

Option: 1

0.384 min 


Option: 2

15 min


Option: 3

10 min 


Option: 4

3.84 min


Answers (1)

best_answer

\mathrm{\mathrm{K}=\frac{2.303}{t} \mathrm{x} \log \left(\frac{A_0}{A}\right) }
\mathrm{\Rightarrow \mathrm{t} =\frac{2.303}{K} \mathrm{x} \log \left(\frac{A_0}{0.1 A_0}\right) }
\mathrm{\Rightarrow \mathrm{t}=\frac{2.303}{6} \mathrm{x} \log 10=0.384 \mathrm{~min} }.

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shivangi.bhatnagar

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