Respuesta :
Given:
A → Products
[A] M Rate(M/s)
1. 0.15 0.014
2. 0.30 0.113
3. 0.60 0.905
To determine:
Order of the reaction
Explanation:
The rate of the given reaction can be expressed as:
Rate = k [A]ⁿ-----(1)
where k = rate constant
[A] = concentration of A
n = reaction order
Based on equation (1) the Rates 1 and 2 can be expressed as:
0.014 = k[0.15]ⁿ ------(3)
0.113 = k[0.30]ⁿ-------(4)
Dividing eq (4) by (3) we get:
0.113/0.014 = [0.30/0.15]ⁿ
8 = 2ⁿ
i.e. 2³ = 2ⁿ
n = 3
Ans: Thus, the order of the reaction is 3
The order of the given reaction is [tex]\boxed{3}[/tex] .
Further Explanation:
Order of reaction:
This indicates dependence of rate on power of concentration of reactants involved in the chemical reaction. On the basis of order of reaction, reaction can be first-order, second-order and so on.
Given reaction is as follows :
[tex]A\rightarrow\text{Products}[/tex]
Consider n to be the order of this reaction. So rate of reaction for the given reaction is expressed as follows:
[tex]\text{Rate}=k\left[A\right]^n[/tex] ...... (1)
Here,
k is the rate constant for the reaction.
[A] is the concentration of A.
n is the order of reaction.
When concentration of A is 0.15 M, rate of reaction is 0.014 M/s.
Substitute 0.15 M for [A] and 0.014 M/s for rate in equation (1).
[tex]\text{0.014\text{M}}=k\left[0.15\right]^n[/tex] ...... (2)
When concentration of A is 0.30 M, rate of reaction is 0.113 M/s.
Substitute 0.30 M for [A] and 0.113 M/s for rate in equation (1).
[tex]\text{0.113\text{M}}=k\left[0.30\right]^n[/tex] ...... (3)
Dividing equation (3) by equation (2),
[tex]\begin{aligned}\dfrac{\text{0.113\text{M}}}{\text{0.014\text{M}}}=&\dfrac{k\left[0.30\right]^n}{k\left[0.15\right]^n}\\\left(2\right)^3=&\left(2\right)^n\end{aligned}[/tex]
Solving for n,
[tex]n=3[/tex]
Therefore order of reaction becomes 3.
Learn more:
1. Rate of chemical reaction: https://brainly.com/question/1569924
2. The main purpose of conducting experiments: https://brainly.com/question/5096428
Answer Details:
Grade: Senior School
Subject: Chemistry
Chapter: Chemical Kinetics
Keywords: order, rate, k, A, products, 3, n, rate constant, order of reaction, 0.15 M, 0.30 M, 0.113 M/s, 0.014 M/s.
