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  • Consider an isomerisation process <img alt="2 \mathrm{~A}(\mathrm{~g}) \longrightarrow \mathrm{A}_{2}(g)" src="https://entrancecorner.oncodecogs.com/gif.latex?2%20%5Cmathrm%7B%7EA%7D%28%5Cmathrm%7B

Consider an isomerisation process 2 \mathrm{~A}(\mathrm{~g}) \longrightarrow \mathrm{A}_{2}(g). follows the first order Kinetics which has a rate constant \mathrm{(k)} at \mathrm{153^{\circ} \mathrm{C}} of \mathrm{6.6 \times 10^{-4} \mathrm{~s}^{-1}}.How may minutes would it take for the isomerization to proceed \mathrm{40%} to completion at this temperature?

Option: 1

13 \mathrm{~min}


Option: 2

15 \mathrm{~min}


Option: 3

20 \mathrm{~min}


Option: 4

30 \mathrm{~min}


Answers (1)

best_answer

For first order reaction

\mathrm{t=\frac{2.303}{k} \log \left(\frac{A_{0}}{A_{0}-x}\right)=\frac{2.303}{6.6 \times 10^{-4} \times 60} \log \left(\frac{100}{100-40}\right) }

\mathrm{t = 13 \mathrm{~min} }

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