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Chemistry - Chemical Kinetics Question with Solution | TestHub

ChemistryChemical KineticsFirst Order ReactionsEasy2 minPYQ_2020
ChemistryEasysingle choice

A flask contains a mixture of compoundsAandB. Both compounds decompose by first-order kinetics. The half-lives forAandBare300 sand180 s, respectively. If the concentrations ofAandBare equal initially, the time required for the concentration of A to be four times that ofB(in s) is :(Use ln 2=0.693)

Options:

Answer:
B
Solution:

Ct=C0e-kt

kA=ln2300        k=ln2T1/2

kB=ln2180

CtA=C0Ae-kAt        

CtB=C0Be-kBt

Ct,BCt,A=C0,BC0,A×ekA-kBt

14=ekA-kBt

 ln14=ln2300-ln2180t

 -2ln2=ln2300-ln2180t

2=120180×300t

t=2×180×300120=900 sec

Stream:JEESubject:ChemistryTopic:Chemical KineticsSubtopic:First Order Reactions
2mℹ️ Source: PYQ_2020

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