The unit of rate constant for a first order reaction isa)Mol/Lb)Mol2/ ...
The correct answer is Option C.
Let R be the rate of reaction.
For first order reaction,
R=K[A]1
⇒K=R[A]-1
Whereas, K and [A] are rate constant and initial concentration of reactant respectively.
Therefore,
Unit of rate constant =(mol L-1)1-nsec-1
For first order reaction, n=1
Unit of rate constant = sec-1
Hence the unit of rate constant for first order reaction is sec-1.
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The unit of rate constant for a first order reaction isa)Mol/Lb)Mol2/ ...
The correct answer is Option C.
Let R be the rate of reaction.
For first order reaction,
R=K[A]1
⇒K=R[A]-1
Whereas, K and [A] are rate constant and initial concentration of reactant respectively.
Therefore,
Unit of rate constant =(mol L-1)1-nsec-1
For first order reaction, n=1
Unit of rate constant = sec-1
Hence the unit of rate constant for first order reaction is sec-1.
The unit of rate constant for a first order reaction isa)Mol/Lb)Mol2/ ...
The unit of the rate constant for a first-order reaction is S-1 (option C).
Explanation:
First-order reactions are characterized by their rate being directly proportional to the concentration of only one reactant. The rate law for a first-order reaction can be expressed as:
rate = k[A]
Where:
rate is the rate of the reaction,
k is the rate constant, and
[A] is the concentration of the reactant A.
The unit of the rate constant is determined by the units of the rate and the concentration. In this case, the rate is expressed as a change in concentration per unit time (mol/L/s) and the concentration is given in mol/L. Therefore, the unit of the rate constant can be calculated as follows:
rate = k[A]
mol/L/s = k * mol/L
To cancel out the concentration unit (mol/L), we need to divide both sides of the equation by mol/L:
1/s = k
Thus, the unit of the rate constant for a first-order reaction is S-1, indicating that the reaction rate is expressed as 1/s or per second.
In summary, the correct answer is option C) S-1, which represents the unit of the rate constant for a first-order reaction.