Gaseous cyclobutene isomerizes to butadiene in a first order process which has ‘k’ value of 3.3 × 10-4 s-1 at 153°C. The time in minutes it takes for the isomerization to proceed 40% to completion at this temperature is______ (Rounded off the nearest integer)

K = 3.3 × 10-4 s-1Time for 40% completion ; tUsing K = 2 . 3 0 3 t l o g 1 0 [ R ] 0 [ R ] <!- [if gte mso 9]><xml> </xml><! [endif]->3.3 × 10-4 = <!- [if gte mso 9]><xml> </xml><! [endif]-> 2 . 3 0 3 t l o g 1 0 [ R ] 0 0 . 6 [ R ] 0 t = 2 . 3 0 3 3 . 3 × 1 0 4 × 0 . 2 2 ⇒ t = 2 5 . 5 8 m i n s <!- [if gte mso 9]><xml> </xml><! [endif]-> so; the nearest integer is 26.

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Chemistry NCERT Exemplar Solutions Class 11th Chapter Eight Chemistry Class 12th Chemistry Chemical Kinetics

Gaseous cyclobutene isomerizes to butadiene in a first order process which has ‘k’ value of 3.3 × 10^-4 s^-1 at 153°C. The time in minutes it takes for the isomerization to proceed 40% to completion at this temperature is______ (Rounded off the nearest integer)

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alok kumar singh | Contributor-Level 10

a month ago

K = 3.3 × 10^-4 s^-1

Time for 40% completion ; t

Using $K = \frac{2.303}{t} l o g_{10} \frac{{[R]}_{0}}{[R]}$

3.3 × 10^-4 = $\frac{2.303}{t} l o g_{10} \frac{{[R]}_{0}}{0.6 {[R]}_{0}}$

$t = \frac{2.303}{3.3} \times 1 0^{4} \times 0.22 \Rightarrow t = 25.58 m i n s$

so; the nearest integer is 26.

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