Chemistry - Chemical Kinetics Question with Solution | TestHub

ChemistryChemical KineticsFirst Order ReactionsHard2 minPYQ_2021
ChemistryHardnumerical

AandBdecompose via first order kinetics with half-lives54.0 minand18.0 minrespectively. Starting from an equimolar non-reactive mixture ofAandB, the time taken for the concentration ofAto become16times that ofBis ______min. (Round off to the Nearest Integer).

Answer:
108.00
Solution:

Given A=t1/2=54 min

B=t1/2=18 min

t=0 'x' M     t=0 'x' M

⇒ To calculate : At=16×Bt time =?

⇒ For I order kinetic : At=A02n

n→ no. of Half lives

⇒ Now from the relation (1)

⇒x2n1=x2n2×16⇒2n2=2n1×24

⇒n2=n1+4⇒tt1/22=tt1/21+4

⇒t118-154=4⇒t=4×18×5436

⇒t=108 min

Stream:JEESubject:ChemistryTopic:Chemical KineticsSubtopic:First Order Reactions
⏱ 2mℹ️ Source: PYQ_2021

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