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JEE Main 202330 JanuaryMorning Shift
Exam
JEE Main
Year
2023
Date
30 January
Shift
Morning Shift
Subject
Chemistry
Chapter
Chemical Kinetics

JEE Main 2023 · 30 January · Morning Shift · Chemistry · Chemical Kinetics

If compound A reacts with B following first order kinetics with...

If compound AA reacts with BB following first order kinetics with rate constant 2.011×10−3s−12 . 011 \times {10}^{- 3}{s}^{- 1}. The time taken by A (in seconds) to reduce from 7gto2g7g to 2g will be _____ . (Nearest Integer) [log⁡5=0.698,log⁡7=0.845,log⁡2=0.301]\left[\log 5 = 0 . 698, \log 7 = 0 . 845, \log 2 = 0 . 301\right]

Correct answer

0

Step-by-step solution

Given,
{A+B→Pt=07gt=t2g\begin{cases} & & A + B \to P \\ t = 0 & & 7g \\ t = t & & 2g\end{cases}

at constant volume

From formula of first order kinetics:
⇒t=2.303Klog[A]0[A]t⇒ t = \dfrac{2 . 303}{K}log\dfrac{{\left[A\right]}_{0}}{{\left[A\right]}_{t}}

=2⋅3032⋅011×10−3log72= \dfrac{2 \cdot 303}{2 \cdot 011 \times {10}^{- 3}}log\dfrac{7}{2}

=2⋅303×0.5442⋅011×10−3= \dfrac{2 \cdot 303 \times 0 . 544}{2 \cdot 011 \times {10}^{- 3}}

=622.989= 622 . 989

≈623\approx 623

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