JEE PYQ: States Of Matter Question 4
Question 4 - 2021 (24 Feb Shift 1)
Gaseous cyclobutene isomerizes to butadiene in a first order process which has a ‘k’ value of $3.3 \times 10^{-4}\text{ s}^{-1}$ at $153^\circ\text{C}$. 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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Answer: 26
Solution
$t = \frac{2.303}{k} \log\left(\frac{100}{60}\right) = \frac{2.303}{3.3 \times 10^{-4}} \times 0.22 = 1535$ sec $= 25.6$ min $\approx 26$ min.