Consider the reaction $A \overset{k}{\to} P .$ The change in concentration of A with time is shown in the following plot:
(i) Predict the order of reaction.
(ii) Derive the expression for the time required for the completion of the reaction.

Solution

(i) Zero order reaction.

(ii) Zero order reaction means that the rate of the reaction is proportional to zero power of the concentration of reactants. Consider the reaction,

R \to P R a t e = - \frac{d [R]}{d t} = k [R]^{0} A s a n y q u a n t i t y r a i s e d t o p o w e r z e r o i s u n i t y R a t e = - \frac{d [R]}{d t} = k \times 1 d [R] = - K d t I n t e r a t i n g b o t h s i d e s [R] = - k t + I . . . . . . . . . . . . . . . . . . . . . . . 1 W h e r e, I i s t h e c o n s t a n t o f i n t e g r a t i o n .

At t = 0, the concentration of the reactant R = [R]₀, where [R]₀ is
initial concentration of the reactant.
Substituting in equation (1)

[R]₀ = –k × 0 + I

[R]₀ = I

Substituting the value of I in the equation (1)

[R] = -kt + [R]₀.............(2)

Comparing (2) with equation of a straight line,
y = mx + c, if we plot [R] against t, we get a straight
line (Figure) with slope = –k and intercept equal
to [R]₀.

Some More Questions From Chemical Kinetics Chapter

The conversion of molecules X to Y follows second order kinetics. If concentration of X is increased to three times how will it affect the rate of formation of Y?

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Chemical Kinetics

Consider the reaction $A \overset{k}{\to} P .$ The change in concentration of A with time is shown in the following plot:
(i) Predict the order of reaction.
(ii) Derive the expression for the time required for the completion of the reaction.

Some More Questions From Chemical Kinetics Chapter

The conversion of molecules X to Y follows second order kinetics. If concentration of X is increased to three times how will it affect the rate of formation of Y?

What will be the effect of temperature on rate constant?

A reaction is 50% complete in 2 hours and 75% complete in 4 hours. What is the order of the reaction.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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For Daily Free Study Material Join wiredfaculty

Chemical Kinetics

Consider the reaction A →k P. The change in concentration of A with time is shown in the following plot:(i) Predict the order of reaction.(ii) Derive the expression for the time required for the completion of the reaction.

Some More Questions From Chemical Kinetics Chapter

The conversion of molecules X to Y follows second order kinetics. If concentration of X is increased to three times how will it affect the rate of formation of Y?

What will be the effect of temperature on rate constant?

A reaction is 50% complete in 2 hours and 75% complete in 4 hours. What is the order of the reaction.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Consider the reaction $A \overset{k}{\to} P .$ The change in concentration of A with time is shown in the following plot:
(i) Predict the order of reaction.
(ii) Derive the expression for the time required for the completion of the reaction.