Question

A graph is drawn between the concentration of the reactants (taken on y-axis) and the time of reaction (taken on x-axis). The slope of the tangent drawn to the graph at a point corresponding to reaction time $t$ sec. gives:

• A. rate of the reaction
• B. rate constant of the reaction
• C. rate of reaction at time $t$
• D. half life period of the reaction

Answer 1

The correct option is C rate of reaction at time $t$

Considering an example

$A⟶B$

The slope of graph at any time t will be:

$\Rightarrow \frac{-d{\left[A\right]}_{t^{}}}{dt}$

$\frac{-d{\left[A\right]}_t}{dt}$ is the rate of change of reactant at time t.

$\Rightarrow$ which is the instantaneous rate of reaction at time t.

Option C is correct.