For a first order reaction, the ratio of the time taken for `7//8^(th)` of the reaction to complete to that of half of the reaction to complete is

Question

For a first order reaction, the ratio of the time taken for `7//8^(th)` of the reaction to complete to that of half of the reaction to complete is

For a first order reaction, the ratio of the time taken for `7//8^(th)` of the reaction to complete to that of half of the reaction to complete is
A. `3 : 1`
B. `1 : 3`
C. `2 : 3`
D. `3 : 2`

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

Related Questions

For the first order reaction `AtoB`, the time taken to reduce to `1//4` of initial concentration is 10 min. The time required to reduce to `1//16` of

2 Answers 7 Views

Half life of a first order reaction and a zero order reaction are same. Then the ratio of the initial rate of the first order reaction to that of zero

2 Answers 5 Views

The half- life of a first order reaction is 900 min at 820 k Estimate its half- life at 720 k if the energy of activation of the reaction is 250 kJ `"

2 Answers 6 Views

Time required to decompose `SO_(2) Cl_(2)` to half of its initial amount is 60 minutes. If the decomposition is a first order reaction, calculate the

2 Answers 4 Views

A first order reaction is `10%` complete in 20 min. the time taken for `19%` completion is :

2 Answers 5 Views

75 % of first order reaction is complete in 30 minutes. What is the time required for 93.75 % of the reaction (in minutes) ?

2 Answers 4 Views

A first order reaction is 60% complete in 20 min. How long will the reaction take to be 84% complete?

2 Answers 5 Views

A particle is moving along circular path of radius 40 m with a uniform speed of `20m//s`. Then the time taken for the particle to complete half revolu

2 Answers 4 Views

Two particles of masses in the ratio 2:1 are moving in circular paths of radii in the ratio 3:2 with time period in the ratio 2:3 .The ratio of their

2 Answers 6 Views

The ratio of the time taken by a solid sphere and that taken by a disc of the same mass and radius to roll down a smooth inclined plane from rest from

2 Answers 5 Views

Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Correct Answer - A
`k = (2.303)/(t) "log" (a)/(a - x)`
for 7/8 of the reaction to complete, `t = t_(7//8)`
a - x = a - 7a/8 = a/8
`:. T_(7//8) = (2.303)/(k) "log" (a)/(a//8) (2.303)/(k) log 8`
For half of the reaction to complete , `t = t_(1//2)`
x = a - a/2 = a/2
`:. t_(1//2) = (2.303)/(k) "log" (a)/(a//2) = (2.303)/(k) log 2`
`:. (t_(7//8))/(t_(1//2)) = (log 8)/(log 2) = (log 2^(3))/(log 2) = (3 log 2)/( log 2 = 3`