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← JEE Main 2021 · 24 Feb · Shift 1
ChemistryInteger+4 / -1Question 58 of 90

JEE Main 2021 · 24 Feb · Shift 1, Chemistry question 58

Gaseous cyclobutene isomerizes to butadiene in a first order process which has a 'k' value of 3.3×10−43.3\times10^{-4} s−1^{-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)

Answer and worked solution

Official answer: 26

First order t=ln⁡(1/0.6)k=0.5113.3×10−4≈1548t=\dfrac{\ln(1/0.6)}k=\dfrac{0.511}{3.3\times10^{-4}}\approx1548 s ≈ 26 min.

Answer: 26