Gaseous cyclobutene isomerizes to butadiene i | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

Vedclass · Accepted Answer

$26$

Vedclass · Answer

(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)

Similar Questions

Time required to decompose $SO_2Cl_2$ to half of its initial amount is $60 \ min$. If the decomposition is a first order reaction,calculate the rate constant of the reaction. (in $min^{-1}$)

$A$ first-order reaction takes $16 \text{ minutes}$ for its $50\%$ completion. What fraction of the reactant would react in $32 \text{ minutes}$ from the beginning?

For a first order reaction,the graph between $\log \frac{a}{(a-x)}$ (on $y$-axis) and time (in $min$,on $x$-axis) gave a straight line passing through origin. The slope is $2 \times 10^{-3} \ min^{-1}$. What is the rate constant (in $min^{-1}$)?

Calculate the rate constant of the first order reaction if $80 \%$ of the reactant reacted in $15 \ minute$.

What is the half-life of a first-order reaction if the time required to decrease the concentration of the reactant from $0.8 \text{ M}$ to $0.2 \text{ M}$ is $12 \text{ hours}$ (in $\text{ hours}$)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module

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)