Advertisements
Advertisements
प्रश्न
Answer the following in brief.
Derive the integrated rate law for the first-order reaction,
\[\ce{A_{(g)} -> B_{(g)} + C_{(g)}}\] in terms of pressure.
Advertisements
उत्तर
i. For the gas phase reaction,
\[\ce{A_{(g)} -> B_{(g)} + C_{(g)}}\]
Let initial pressure of A be Pi that decreases by x within time t.
ii. Pressure of reactant A at time t
PA = Pi - x ....(1)
The pressures of the products B and C at time t
PB = PC = x
iii. The total pressure at time t is then
P = Pi - x + x + x = Pi + x
Hence, x = P - Pi …(2)
The pressure of A at time t is obtained by substitution of Eq. (1) into Eq. (2).
Thus
PA = Pi - (P - Pi) = Pi - P + Pi = 2Pi - P
iv. The integrated rate law turns out to be
k = `2.303/"t" "log"_10 ["A"]_0/["A"]_"t"`
The concentration is now expressed in terms of pressures.
Thus, [A]0 = Pi and [A]t = PA = 2Pi - P
Substitution gives in above
`"k" = 2.303/"t" "log"_10 "P"_"i"/(2"P"_"i" - "P")` ...(3)
P is the total pressure of the reaction mixture at time t.
APPEARS IN
संबंधित प्रश्न
Answer the following in brief.
Obtain the relationship between the rate constant and half-life of a first-order reaction.
Answer the following in brief.
How will you represent the zeroth-order reaction graphically?
In a first-order reaction, the concentration of the reactant decreases from 20 mmol dm−3 to 8 mmol dm−3 in 38 minutes. What is the half-life of reaction?
Solve
The half-life of a first-order reaction is 1.7 hours. How long will it take for 20% of the reactant to react?
Time required for 100% completion of a zero order reaction is _______.
Rate constant of a reaction is 3.6 × 10–3 s–1. The order of reaction is ______.
Explain with the help of a potential energy diagram that the catalyst increases the rate of the 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
If 75% of a first order reaction was completed in 60 minutes, 50% of the same reaction under the same conditions would be completed in ____________.
Describe the graphical representation of first order reaction.
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 ____________.
The integrated rate equation for first-order reaction, A → product, is ______.
Which of the following represents the expression for `(3/4)^"th"` life of 1st order reaction?
The order of the reaction for which the unit of rate constant is s−1 is ____________.
The time taken for 80% of a first order reaction to be complete is approximately ____________.
The rate of formation of B at time t for reaction \[\ce{2A -> 3B}\] is equal to ____________.
Which among the following is an example of zero order reaction?
For a first order reaction, \[\ce{A -> B}\], if [A] = 1 M and rate is 4 × 10−2 M s−1. What is the rate constant of the reaction?
Which among the following is an example of pseudo first order reaction?
A first order reaction takes 40 minutes for 30% decomposition. What is the half-life of reaction?
A first order reaction takes 40 minutes for 30% completion. Calculate the half-life of reaction.
Which is the unit of rate constant for the first-order reaction if time is expressed in seconds?
Define the half-life of a first-order reaction.
Half-life of a first order reaction is 30 minutes and initial concentration of reactant is 0.1 M.
What is half-life of the reaction if initial concentration of reactant is doubled?
Which of the following correctly represents integrated rate law equation for a first order reaction in a gas phase?
What are integrated rate laws?
Calculate half life of reaction if rate constant of first order reaction is 0.0178 minute−1.
If the half-life of a first-order reaction is 10 minutes, find the time required to decrease the concentration of the reactant from 0.08 M to 0.02 M.
