Question

Gaseous cyclobutene isomerizes to butadiene in a first order process which has a '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 to the nearest integer)

Options

• 25

• 26

• 27

• 28

Answer 1

Gaseous cyclobutene isomerizes to butadiene in a first order process which has a '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 26.

Explanation:

For first order reaction,

K = `2.303/"t" log  "a"/("a" - "x")`

⇒ t = `2.303/(3.3 xx 10^-4) log  1/0.6`

= `(2.303 xx 0.22)/(3.3 xx 10^-4)`

= 0.1554 × 10⁴

= 1554 sec

= `1554/60`

= 25.9 minutes

= 26 minutes