English
Karnataka Board PUCPUC Science 2nd PUC Class 12

The rate constant for a first order reaction is 60 s−1. How much time will it take to reduce the initial concentration of the reactant to its 116th value? - Chemistry

Advertisements
Advertisements

Question

The rate constant for a first order reaction is 60 s−1. How much time will it take to reduce the initial concentration of the reactant to its `1/16`th value?

Numerical

Solution

t = `2.303/"k" log  "a"/("a" - "x")`,

if a = 1 then (a − x) = `1/16`

k = `2.303/60 log  1/(1/16)`

= 0.0462 s−1

shaalaa.com
  Is there an error in this question or solution?
Chapter 4: Chemical Kinetics - Exercises [Page 119]

APPEARS IN

NCERT Chemistry [English] Class 12
Chapter 4 Chemical Kinetics
Exercises | Q 16 | Page 119

RELATED QUESTIONS

Sucrose decomposes in acid solution into glucose and fructose according to the first order rate law with `"t"_(1/2)`= 3 hours. What fraction of the sample of sucrose remains after 8 hours?


A first order reaction has a rate constant 1.15 × 10−3 s1. How long will 5 g of this reactant take to reduce to 3 g?


In a pseudo first order hydrolysis of ester in water, the following results were obtained:

t/s 0 30 60 90
[A]/mol L−1 0.55 0.31 0.17 0.085

Calculate the average rate of reaction between the time interval 30 to 60 seconds.


For the decomposition of azoisopropane to hexane and nitrogen at 543 K, the following data are obtained.

t (sec) P(mm of Hg)
0 35.0
360 54.0
720 63.0

Calculate the rate constant.


The time required for 10% completion of a first order reaction at 298 K is equal to that required for its 25% completion at 308 K. If the value of A is 4 × 1010 s−1. Calculate k at 318 K and Ea.


A first order reaction takes 20 minutes for 25% decomposition. Calculate the time when 75% of the reaction will be completed.

(Given : log = 2 = 0·3010, log 3 = 0·4771, log 4 = 0·6021)


Straight line graph for first order reaction is obtained between ____________.


A first order reaction is 50% completed in 1.26 × 1014 s. How much time would it take for 100% completion?


State a condition under which a bimolecular reaction is kinetically first order reaction.


First order reaction is 50% complete in 1.26 × 1014s. How much time could it take for 100% completion?


A first order reaction is 50% complete in 20 minute What is rate constant?


Time required to decompose SO2Cl2 to half of its initial concentration is 60 minutes. If the de-composite is a first order reaction, calculated the rate constant of the reaction-


Gaseous cyclobutene isomerizes to butadiene in a first order process which has a 'k' value of 3.3 × 10−4 s−1 at 153°C. The time in minutes it takes for the isomerization to proceed 40% to completion at this temperature is ______. (Rounded-off to the nearest integer)


Radioactive decay follows first-order kinetics. The initial amount of two radioactive elements X and Y is 1 gm each. What will be the ratio of X and Y after two days if their half-lives are 12 hours and 16 hours respectively?


How will you represent first order reactions graphically?


Slove: \[\ce{2NOBr -> 2NO_{2(g)} + Br_{2(g)}}\]

For the above reaction, the rate law is rate = k[NOBr]2. If the rate of reaction is 6.5 × 10−6 mol L−1 s−1 at 2 × 10−3 mol L−1 concentration of NOBr, calculate the rate constant k for the reaction.


The rate constant for the reaction:

\[\ce{2N2O_{(s)} ->2N2O4_{(g)}}\] is 4.98 × 10-4 s-1.

The order of the reaction is ______.


Show that `t_(1/2)= 0.693/k` for first reaction.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×