Question

A → P is a first order reaction. The following graph is obtained for this reaction. (x-axis = time; y-axis = conc. of A). The instantaneous rate of the reaction at point C is

• A. \( \frac{1}{m} \)
• B. \( m \)
• C. \( 2.303 m \)
• D. \( \frac{1}{2.303 m} \)

Hint:

For a first-order reaction, the instantaneous rate is proportional to the concentration of the reactant at that instant.

Answer 1

The Correct Option is B

In a first-order reaction, the instantaneous rate of reaction is given by the equation: \[ \text{Rate} = k [A] \] The slope of the graph at point C represents the rate constant \( k \), and thus, the instantaneous rate is directly related to the slope. The slope \( m \) of the graph represents the rate.