MHTCET 14 May 2023 Shift 2 Solved Paper

The rate of a first-order reaction is directly proportional to the concentration of one reactant. The mathematical expression for the rate of a first-order reaction is:
k[A]
where:
k is the rate constant
[A] is the concentration of the reactant.
The rate equation can be expressed as:
‌ Rate ‌=k[A]
Given that a graph of rate versus concentration, the slope of this graph for a first-order reaction would be equal to the rate constant, k, because the rate is directly proportional to the concentration [A] :
Slope =k
Therefore, if the slope for the graph of rate versus concentration is 2.5×10−3, then the value of the rate constant for the first-order reaction is:
k=2.5×10−3‌ time ‌−1
So, the correct answer is:
Option A 2.5×10−3 time ‌−1