If compound A reacts with B following first order kinetics with rate constant 2 . 011 × 10 - 3   s…

If compound A reacts with B following first order kinetics with rate constant 2.011×10-3 s-1. The time taken by A (in seconds) to reduce from 7 g to 2 g will be _____ . (Nearest Integer) log5=0.698,log7=0.845,log2=0.301

Solution

Given,
  A+B→Pt=0 7gt=t 2g

at constant volume

From formula of first order kinetics:
⇒t=2.303 KlogA0At

=2·3032·011×10-3log72

=2·303×0.5442·011×10-3

=622.989

≈623

Asked in: JEE Main 2023 (30 Jan Shift 1)

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