Home
Class 12
CHEMISTRY
A first order reaction takes 40 min for ...

A first order reaction takes 40 min for 30% decomposition. What will be `t_(1//2)`?

A

`33.2 m i n `

B

`77.7 m i n`

C

`22.7 m i n`

D

`40 m i n `

Text Solution

Verified by Experts

The correct Answer is:
2
`30%` decomposition means that `x=30%` of `a=0.30a`
As reaction is of 1st order,
`k-(2.303)/(t)log.(a)/(a-x)=(2.303)/(40 min )log.(a)/(a-0.30a)=(2.303)/(40)xxlog.(10)/(7)"min"^(-1)`
For a 1st order reaction
`t_(1//2)=(0.693)/(k)=(0.693)/(8.918xx10^(-3)"min"^(-1))=77.7min`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE ENGLISH|Exercise FST-3|30 Videos

  • TEST PAPERS

    RESONANCE ENGLISH|Exercise FST 01|30 Videos

  • SURFACE CHEMISTRY

    RESONANCE ENGLISH|Exercise Section - 5|1 Videos

  • TEST SERIES

    RESONANCE ENGLISH|Exercise CHEMISTRY|50 Videos

Similar Questions

Explore conceptually related problems

A first order reaction takes 40 mi n for 30% decomposition. Calculate t_(1//2) .

A first order reaction takes 40 minutes for 30% decomposition. Calculate t_(1//2) for this reaction (Given log 1.428 = 0.1548)

Knowledge Check

  • A first order reaction takes 40 min for 30% decomposition. Calculate t_(1//2) . (Given log 7 =0.845)

    A
    77.7 min
    B
    52.5 min
    C
    46.2min
    D
    22.7 min

  • For a first order reaction the rate constant for decomposition of N_(2)O is 6xx10^(-4)sec^(-1) . The half-life period for the decomposition in seconds is :

    A
    11.55
    B
    115.5
    C
    1155
    D
    1.155

  • Half life of a first order reaction in 10 min. What % of reaction will be completed in 100 min ?

    A
    0.25
    B
    0.5
    C
    0.999
    D
    0.75

    • Similar Questions

    Explore conceptually related problems

    A first order reaction takes 40 minutes for 30% decomposition. Calculate t_(1//2) for this reaction (Given log 1.428 = 0.1548)

    A first order reaction takes 40 minutes for 30% decomposition. Calculate t_(1//2) for this reaction (Given log 1.428 = 0.1548)

    A first order decomposition reaction takes 40 minutes for 30% decomposition. Calculate its t_(1//2) value.

    A first order reaction is 20% complete in 10 min. What is the rate constant?

    For a first order reaction, time taken for half of the reaction to complete is t_(1)and 3/4 of the reaction to complete is t_(2) . How are t_(1)and t_(2) related?

    Home
    Profile