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The rate constant for a first order reac...

The rate constant for a first order reaction is `60s^(-1)` How much time will it take to reduce the initial concentration of the reactant to its `(1)/(10)` th value?

Text Solution

Verified by Experts

For a first order reaction , the integrated rate equation is
`t=(2.303)/(k)log.([A]_(0))/([A])`
We have to calculate t, when `[A]=([A]_(0))/(10)` . putting the values of [A] and k into the above equation , we get
`t=(2.303)/(60)log.([A]_(0))/(([A])/(10))=0.0457s`
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Knowledge Check

  • Value of rate constant of a pseudo first order reaction-

    A
    depends on the concentration of reactants present in small amount
    B
    depends on the concentration of reactants present in excess
    C
    is independent of the concentration of reactants
    D
    depends only on temperature
  • The value of rate constant for a first order reaction is 2.303 xx 10^-2 sec^-1 . What will be the time required to reduce the concentration to 1/(10)th of its initial concentration?

    A
    100 s
    B
    10 s
    C
    2303 s
    D
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  • A first order reaction is 50% completed in 1.26xx10^(14)s. How much time would it take for 100% completion-

    A
    `1.26xx10^(15)s`
    B
    `2.52xx10^(14)`
    C
    `2.52xx10^(28)s`
    D
    infinite
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