Home
Class 12
CHEMISTRY
A certain reaction A+BtoP is of first or...

A certain reaction `A+BtoP` is of first order with respect to each reactant. If `[A]_(0)=0.1" M",[B]_(0)=5.0` M and the second order rate constant k is `6xx10^(-3)"M"^(-1)s^(-1)`, calculate the half-life period of the reaction in seconds.

Text Solution

Verified by Experts

For 2nd order reactions,
`k=(2.303)/(t{[A_(0)]-[B]_(0)})log""([B]_(0)[A])/([A]_(0)[B])`
When `t=t_(1//2),[A]=[A]_(0)//2,=0.1//2=0.05`
At that time, `[B]=5-0.05=4.95" M"`
substituting these values is eqn. (i), we get
`:." "t_(1//2)=(2.303)/(6xx10^(-3)(0.1-5.0))log""(5xx0.05)/(0.1xx4.95)~~(2.303)/(6xx10^(-3)(-4.9))log""(1)/(2)~~23.5s`
Promotional Banner

Topper's Solved these Questions

  • CHEMICAL KINETICS

    PRADEEP|Exercise IMPORTANT QUESTIONS FOR BOARD EXAMINATION|30 Videos

  • BIOMOLECULES

    PRADEEP|Exercise IMPORTANT QUESTIONS (FOR BOARD EXAMINATION)|25 Videos

  • CHEMISTRY IN EVERYDAY LIFE

    PRADEEP|Exercise IMPORTANT QUESTION FOR BOARD EXAMINATION|30 Videos

Similar Questions

Explore conceptually related problems

A first order reaction has a rate constant, k = 5.5 xx 10^(-14) s^(-1) , calculate the half life of reaction.

A first order reaction is found to have a rate constant k= 5.5 xx 10^(-14)s^(-1) . Find half-life of the reaction.

A first order reaction is found to have a rate constant, k=5.5xx10^(-14)s^(-1) . Find the half-life of the reaction.

For a first-order reaction A rarr B the reaction rate at reactant concentration of 0.10 M is found to be 2.0 xx 10^(-5) "mol" L^(-1) s^(-1) . The half-life period of the reaction is

For a first order reaction A rarrB , the reaction rate at reactant concentration of 0.01 M is found to be 2.0xx10^(-5) "mol L"^(-1) s^(-1) . The half life period of the reaction is

A first order reaction has a rate constant of 0.0541s^(-1) at 25^(@)C . What is the half-life for this reaction?