Advertisements
Advertisements
प्रश्न
How will you represent first order reactions graphically.
Advertisements
उत्तर
i. The differential rate law for the first-order reaction A → P is 
The equation is of the form y = mx + c. A plot of rate versus [A]t is a straight line passing through the origin. The slope of straight line = k.
 |
| Variation of rate with [A] |
ii. The integrated rate law is
k = `2.303/t log_10 ["A"]_0/["A"]_"t"`
On rearrangement, the equation becomes
`(kt)/2.303 = log_10 ["A"]_0 - log_10 ["A"]_"t"`
Hence,
The equation is of the straight line. A graph of `log_10[A]_t` versus t yields a straight line with slope `-"k"/2.303` and y-axis intercepts as log10[A]0.
 |
| Variation of `log_10 [A]_t` with time |
iii. Rearranging the integrated rate law equation, we get
The equation has a straight-line form y = mx. Hence, the graph of `log_10 ([A]_0)/([A]_t)` versus t is a straight line passing through the origin.
 |
| Variation of `log_10 ([A]_0)/([A]_t)` with time |
APPEARS IN
संबंधित प्रश्न
Explain pseudo first order reaction with a suitable example.
Derive an integrated rate law expression for first order reaction: A → B + C
Derive an expression for the relation between half-life and rate constant for first-order reaction.
For a first order reaction \[\ce{A ->Product}\] with initial concentration x mol L−1, has a half life period of 2.5 hours. For the same reaction with initial concentration `("x"/2)` mol L−1 the half life is
Assertion: rate of reaction doubles when the concentration of the reactant is doubles if it is a first-order reaction.
Reason: rate constant also doubles.
Give two examples for zero order reaction.
Identify the order for the following reaction.
Radioactive disintegration of 92U238
A zero order reaction is 20% complete in 20 minutes. Calculate the value of the rate constant. In what time will the reaction be 80% complete?
How long would it take to electroplate a spoon with 0.1 mol of silver (108 g/mol) at a constant current of 2.0 A using AgNO3?
A first order reaction is 25% completed in 40 minutes. What is the rate constant k tor the reaction?
Which among the following reaction is an example of a zero order reaction?
The activation energy of a reaction is zero. Its rate constant at 280 K is 1.6 × 10-6 s-1, the rate constant at 300 K is ______.
The rate constant of a first order reaction is 3 × 10−6 per s. If the initial concentration is 0.10 mol dm−3, the initial rate of 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 ____________.
A first order reaction is 75% completed in 60 minutes, the time required for it's 50% completion is ____________.
In the reaction \[\ce{2SO2 + O2 -> 2SO3}\] the rate of appearance of SO3 is 4 × 10−4 M/s, the rate of disappearance of O2 is ____________.
Reaction given below follows first order kinetics:
\[\ce{2N2O2 -> 4NO2 + O2}\]
Calculate the rate constant of reaction if concentration of N2O2 is 0.05 M and rate of reaction is 1.5 × 10−6 mol L−1 s−1?
Which among the following is an example of pseudo first order reaction?
A first order reaction takes 40 minutes for 30% completion. Calculate the half-life of reaction.
The time required to decompose SO2Cl2 to half of it's initial amount is 60 minutes. Calculate rate constant for this first order reaction.
What is the unit of rate constant for the zero order reaction?
Calculate half-life of a first order reaction in minute if the rate constant is 1 × 10-3 s-1.
Which is the relation between half life and rate constant for a zero order?
Consider the following reaction.
\[\ce{SO2(g) + 1/2 O2(g) <=>[K1] SO3(g)}\]
\[\ce{2SO3(g)<=>[K2] 2SO2(g) + O2(g)}\]
What is the relation between K1 and K2?
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 of first order reaction is 1.7 hour. What is its rate constant?
