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  • yaseouscyclobutene isomerize to butadiene in a first order process which has its k value of <img alt="2.8 \times 10^{-4} \mathrm{~s}^{-1}" src="https://entrancecorner.oncodecogs.com/gif.latex?

yaseouscyclobutene isomerize to butadiene in a first order process which has its k value of 2.8 \times 10^{-4} \mathrm{~s}^{-1} at 160^{\circ} \mathrm{C}. The time in minutes. it takes for the isomerization to proceed 68 \% to completion at this temperature will be

Option: 1

80 min


Option: 2

67.8 min


Option: 3

75.4 min


Option: 4

100.5 min


Answers (1)

best_answer

\mathrm{\begin{aligned} & k\, \frac{1}{t} \ln \frac{[A]_0}{[A]_t 50} \\\\ & t=\frac{1}{k} \ln \left(\frac{50}{16}\right) \\\\ & t=\frac{2.303}{k} \log \left(50-(2)^4\right) \\\\ & t=\frac{2.303}{k} \log 50-4 \log 2 \\\\ & t=\frac{2.303}{2.8 \times 10^{-4}} \times 0.4 \\\\ & t=4070 \text { sec } \\\\ & t=4070/60 \text { minutes } \Rightarrow 67.8 \text { minutes } \end{aligned}}

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