Advertisements
Advertisements
Question
For the reaction A + B → P.
If [B] is doubled at constant [A], the rate of reaction doubled. If [A] is triple and [B] is doubled, the rate of reaction increases by a factor of 6. Calculate the rate law equation.
Advertisements
Solution
Given: A + B → P
∴ Rate of reaction,
rate = k[A]x [B]y ...(i)
If [B] is doubled at constant [A], the rate of reaction doubled.
∴ 2 × rate = k[A]x [2B]y
∴ 2 × rate = k[A]x 2y [2B]y ...(ii)
If [A] is tripled and [B] is doubled, the rate of reaction increases by a factor of 6.
∴ 6 × rate = k[3A]x [2B]y
6 × rate = 3x k[3A]x 2y [B]y ...(iii)
Divide equation (ii) by (i), we get
`(2 xx "rate")/"rate" = (k[A]^x 2^y[B]^y)/(k[A]^x [B]^y)`
21 = 2y
∴ y = 1
Now divide equation (iii) by (i), we get
`(6 xx "rate")/"rate" = (3^x k[A]^x 2^y [B]^y)/(k[A]^x [B]^y)`
6 = 3x2y
= 3x × 2 ...(∵ y = 1)
∴ x = 1
Now, x = 1 and y = 1 values should be written in the equation (i)
∴ The rate law can be written as
rate = k[A]1 [B]1
rate = k[A][B]
APPEARS IN
RELATED QUESTIONS
Choose the most correct option.
The rate constant for the reaction \[\ce{2N2O5_{(g)} -> 2N2O4_{(g)} + O2_{(g)}}\] is `4.98 xx 10^-4 "s"^-1`. The order of reaction is _____________.
The time required for 90% completion of a certain first-order reaction is t. The time required for 99.9% completion will be _________.
Choose the most correct option.
Slope of the graph ln[A]t versus t for first-order reaction is _________.
The elementary reaction \[\ce{O3_{(g)} + O_{(g)} -> 2O2_{(g)}}\] is ______.
Answer the following in one or two sentences.
For the reaction, \[\ce{CH3Br_{(aq)} + OH^{-}_{(aq)} -> CH3OH^{\ominus}_{(aq)} + Br^{\ominus}_{(aq)}}\], rate law is rate = \[\ce{k[CH3Br][OH^\ominus]}\]
How does reaction rate changes if \[\ce{[OH^\ominus]}\] is decreased by a factor of 5?
The rate law relates to the rate of a chemical reaction in terms of _______.
For the reaction \[\ce{2NO_{(g)} + 2H_{2(g)} -> N_{2(g)} + 2H2O_{(g)}}\],
The rate law is, rate = k[NO]2 [H2].
What is the overall order of reaction?
Write four key points about order of reaction.
For the reaction, \[\ce{N2(g) + 3H2(g) -> 2NH3(g); \Delta H}\] is equal to ______.
A gaseous hypothetical chemical equation \[\ce{2A ⇌ 4B + C}\] is carried out in a closed vessel. The concentration of B is found to increase by 5 × 10−3 mol dm−3 in 10 second. The rate of ____________.
The rate law for a reaction between the substances A and B is given by, rate = k[A]n [B]m. On halving the concentration of A and doubling the concentration of B, the ratio of the new rate to the earlier rate of the reaction will be as ____________.
For a chemical reaction rate law is, rate = k[A]2[B]. If [A] is doubled at constant [B], the rate of reaction ______.
For a hypothetical reaction \[\ce{A + B -> C}\], it is found that doubling the concentration of A increases the rate by 8 times and doubling the concentration of B increases the rate by 4 times. The overall order of the reaction is ____________.
The rate law for the reaction \[\ce{2NO_{(g)} + O2_{(g)} -> 2NO2_{(g)}}\] is rate = k[NO]2 [O2] , then which among the following statement is correct?
In the reaction \[\ce{A + B2 -> AB + B}\], the rate of reaction is directly proportional to the concentration of A and independent on the concentration of B2. What is the rate law expression?
In the reaction, \[\ce{N2 + 3H2 -> 2NH3}\], the rate of disappearance of H2 is 0.02 Mis. The rate of appearance of NH3 is ______.
For the reaction \[\ce{2A + B -> 3C + D}\], which among the following is NOT the correct rate law expression?
For the reaction \[\ce{4NH3 + 5O2 -> 4NO + 6H2O}\], the rate of disappearance of NH3 is 3.6 × 10-3 M/s. What is the rate of formation of water?
Which of the following unit is used to express the rate of a reaction?
The correct order of raaii of F, F-, O and O2- is ______.
The rate constant of a reaction ______.
For the reaction 2A + B → A2B find the rate of decrease of [B].
The rate constant for the reaction,
2N2O5(g) → 2N2O4(g) + O2(g) is 4.98 × 10-4 s-1.
What is the order of reaction?
