Advertisements
Advertisements
प्रश्न
Obtain the expression for half-life and rate constant of the first-order reaction.
उत्तर
k = `2.303/t log_10 [A]_0/[A]_t`
Where, `[([A]_0 = "Initial concentration"),([A]_t = "Final concentration")]`
At, t = `t_(1/2), [A]_t = [A]_0/2`
k = `2.303/t_(1/2) log_10 [A]_t/([A]_0/2)`
k = `2.303/t_(1/2) xx log_10 2`
= `2.303/t_(1/2) xx 0.3010`
`t_(1/2) = 0.693/k`
APPEARS IN
संबंधित प्रश्न
Answer the following in one or two sentences.
What are the units for rate constants for zero-order and second-order reactions if time is expressed in seconds and concentration of reactants in mol/L?
Answer the following in one or two sentences.
Write the relationships between rate constant and half-life of the first order and zeroth-order reactions.
Derive the integrated rate law for the zeroth order reaction.
The rate constant of the first order reaction is 1.386 min–1. Calculate the time required for 80% reactant to decompose?
Define half life of a reaction.
A zero-order reaction \[\ce{X -> Product}\], with an initial concentration 0.02 M has a half-life of 10 min. if one starts with concentration 0.04 M, then the half-life is
Describe the graphical representation of first order reaction.
Identify the order for the following reaction.
Radioactive disintegration of 92U238
From the following data, show that the decomposition of hydrogen peroxide is a reaction of the first order:
| t (min) | 0 | 10 | 20 |
| V (ml) | 46.1 | 29.8 | 19.3 |
Where t is the time in minutes and V is the volume of standard KMnO4 solution required for titrating the same volume of the reaction mixture.
A first order reaction is 40% complete in 50 minutes. Calculate the value of the rate constant. In what time will the reaction be 80% complete?
The following reactions follow zero order kinetics, EXCEPT ____________.
The rate of the reaction \[\ce{A + B -> C}\] is 3.6 × 10−2 mol dm−3 s−1 when [A] = 0.3 mol dm−3 and [B] = 0.2 mol dm−3. Calculate k if reaction is first order in A and zero order in B.
For first order reaction the concentration of reactant decreases from 0.2 to 0.1 M in 100 minutes. What is the rate constant of the reaction?
A first order reaction is 25% completed in 40 minutes. What is the rate constant k tor the reaction?
If [A]0 is the initial concentration, then the half life of zero order reaction is ____________.
In a first order reaction, the concentration of the reactant is reduced to 25% in one hour. The half-life period of the reaction is ____________.
If time required to decrease concentration of reactant from 0.8 M to 0.2 M is 12 hours, the half life of this first order reaction is ____________.
The order of the reaction for which the unit of rate constant is s−1 is ____________.
Half-life period of a first order reaction, \[\ce{A -> product}\] is 3.0 hours. What is the value of rate constant?
Which is the unit of rate constant for the first-order reaction if time is expressed in seconds?
Rate constant for zero order reaction is 2 × 10-2 mol L-1 s-1. If the concentration of the reactant after 25 sec. is 0.5 M, what is the initial concentration of reactant?
The integrated rate equation is Rt = log C0 – log Ct, then the straight-line graph is obtained by plotting.
Which one of the following reactions is a true first-order reaction?
The rate constant and half-life of a first order reaction are related to each other as ______.
Which of the following reactions is not of the first order?
What is the rate constant of a first order reaction if 0.08 mole of reactant reduces to 0.02 mole in 23.03 minutes?
The half-life period for the first order reaction is 1.7 hrs. How long will it take for 20% of the reactant to disappear?
