Gaseous cyclobutene isomerizes to butadiene i | vedclass

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(C) The reaction is a first order process.The integrated rate equation for a first order reaction is given by:$Kt = \ln \frac{[A]_{0}}{[A]_{t}}$Given

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$26$

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(C) The reaction is a first order process.The integrated rate equation for a first order reaction is given by:$Kt = \ln \frac{[A]_{0}}{[A]_{t}}$Given that the reaction proceeds $40\%$ to completion,the remaining concentration $[A]_{t}$ is $60\%$ of the initial concentration $[A]_{0}$.So,$[A]_{t} = 0.60 [A]_{0}$ or $\frac{[A]_{0}}{[A]_{t}} = \frac{100}{60} = \frac{5}{3}$.Substituting the values:$3.3 	imes 10^{-4} \ s^{-1} 	imes t = \ln \left(\frac{100}{60}ight)$$3.3 	imes 10^{-4} 	imes t = \ln(1.6667)$$3.3 	imes 10^{-4} 	imes t = 0.5108$$t = \frac{0.5108}{3.3 	imes 10^{-4}} \ s$$t = 1547.95 \ s$To convert the time into minutes:$t = \frac{1547.95}{60} \ min$$t = 25.799 \ min$Rounding off to the nearest integer,we get $26 \ min$.

Gaseous cyclobutene isomerizes to butadiene in a first order process which has a $k$ value of $3.3 \times 10^{-4} \ s^{-1}$ at $153^{\circ}C$. The time in minutes it takes for the isomerization to proceed $40\%$ to completion at this temperature is ..........
(Rounded off to the nearest integer)

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Gaseous cyclobutene isomerizes to butadiene in a first order process which has a $k$ value of $3.3 \times 10^{-4} \ s^{-1}$ at $153^{\circ}C$. The time in minutes it takes for the isomerization to proceed $40\%$ to completion at this temperature is ..........(Rounded off to the nearest integer)