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The reaction : A(aq)  Products, occur 0.01% in 2
0 milliseconds when the initial concentration of 'A' was 0.4M and 80 milliseconds when the initial concentration of 'A' was 0.2 M. The order of reaction is: (A) 0 (B) 1 (C) 2 (D) 3?
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The reaction : A(aq) Products, occur 0.01% in 2... more0 milliseconds ...
Given information:


  • Reaction: A(aq) Products

  • Reaction occurs 0.01% in 2 milliseconds for [A] = 0.4 M

  • Reaction occurs 0.01% in 80 milliseconds for [A] = 0.2 M



Solution:


Determination of Half-life:


  • Half-life is the time taken by the concentration of reactant to decrease by half its original value.

  • For the given reaction, the time required for 0.01% reaction is calculated as follows:


For [A] = 0.4 M,

k = 2.303/t log([A]₀/[A]t)

k = 2.303/2 ms log(0.4/0.3996)

k = 0.001728 s⁻¹

For [A] = 0.2 M,

k = 2.303/t log([A]₀/[A]t)

k = 2.303/80 ms log(0.2/0.1998)

k = 0.0004325 s⁻¹

For a first-order reaction, the half-life can be calculated using the formula:

t½ = 0.693/k

For [A] = 0.4 M, t½ = 401.13 ms

For [A] = 0.2 M, t½ = 1602.26 ms


Determination of Order of Reaction:


  • The order of reaction can be determined using the formula:


k = 2.303/t log([A]₀/[A]t)


  • If the plot of log([A]₀/[A]t) versus t is a straight line, the reaction is of the first order.

  • If the plot of log[A]₀/[A]t versus t is a straight line, the reaction is of the second order.

  • If the plot of [A]t versus t is a straight line, the reaction is of the zero order.


For [A] = 0.4 M,

k = 2.303/2 ms log(0.4/0.3996)

k = 0.001728 s⁻¹

For [A] = 0.2 M,

k = 2.303/80 ms log(0.2/0.1998)

k = 0.0004325 s⁻¹


  • The rate constant is different for different concentrations of A, which indicates that the reaction is not zero order.

  • The rate constant does not change by a factor of four when the concentration of A is halved, indicating that the reaction is not second
Community Answer
The reaction : A(aq) Products, occur 0.01% in 2... more0 milliseconds ...
3
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Read the passage given below and answer the following questions:The rate of a reaction, which may also be called its velocity or speed, can be defined with relation to the concentration of any of the reacting substances, or to that of any product of the reaction. If the species chosen is a reactant which has a concentration c at time t the rate is - dc/dt, while the rate with reference to a product having a concentration x at time t is dx/dt. Any concentration units may be used for expressing the rate; thus, if moles per liter are employed for concentration and seconds for the time, the units for the rate are moles litre–1sec–1. For gas reactions pressure units are sometimes used in place of concentrations, so that legitimate units for the rate would be (mm. Hg) sec–1 and atm. sec–1 The order of a reaction concerns the dependence of the rate upon the concentrations of reacting substances; thus, if the rate is found experimentally to be proportional to the ath power of the concentration of one of the reactants A, to the both power of the concentration of a second reactant B, and so forth, via., rate = k CAα CAβ the over-all order of the reaction is simply n = α + β + ----- (2) Such a reaction is said to be of the αth order with respect to the substance A, the βth order with respect to B.In the following questions, a statement of Assertion followed by a statement of Reason is given. Choose the correct answer out of the following choices on the basis of the above passage.Assertion: Reactions can occur at different speeds.Reason: Rate of reaction is also called speed of reaction.

The reaction : A(aq) Products, occur 0.01% in 2... more0 milliseconds when the initial concentration of 'A' was 0.4M and 80 milliseconds when the initial concentration of 'A' was 0.2 M. The order of reaction is: (A) 0 (B) 1 (C) 2 (D) 3?
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The reaction : A(aq) Products, occur 0.01% in 2... more0 milliseconds when the initial concentration of 'A' was 0.4M and 80 milliseconds when the initial concentration of 'A' was 0.2 M. The order of reaction is: (A) 0 (B) 1 (C) 2 (D) 3? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The reaction : A(aq) Products, occur 0.01% in 2... more0 milliseconds when the initial concentration of 'A' was 0.4M and 80 milliseconds when the initial concentration of 'A' was 0.2 M. The order of reaction is: (A) 0 (B) 1 (C) 2 (D) 3? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The reaction : A(aq) Products, occur 0.01% in 2... more0 milliseconds when the initial concentration of 'A' was 0.4M and 80 milliseconds when the initial concentration of 'A' was 0.2 M. The order of reaction is: (A) 0 (B) 1 (C) 2 (D) 3?.
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