$A \rightarrow P$ is a first-order reaction. The following graph is obtained for this reaction ($x$-axis $=$ time,$y$-axis $=$ concentration of $A$). The instantaneous rate of the reaction at point $C$ is:

Explain the relation between the rate of reaction and the stoichiometric coefficients of a balanced chemical equation with examples.

In the hydrolysis reaction of butyl chloride,the concentration of reactant at $600 \ s$ is determined using a tangent at $t_2 = 800 \ s$ and $t_1 = 400 \ s$. Given the concentrations $[R_2] = 0.0165 \ mol \ L^{-1}$ and $[R_1] = 0.037 \ mol \ L^{-1}$,calculate the instantaneous rate $r_{ins}$ at $600 \ s$.

For a reaction $\frac{1}{2} A \rightarrow 2 B$,the rate of disappearance of $A$ is related to the rate of appearance of $B$ by the expression:

For the reaction $A_{(g)} + 3B_{(g)} \to 2C_{(g)}$,if the value of $-d[A]/dt$ is $3 \times 10^{-3} \ mol \ L^{-1} \ min^{-1}$,then the value of $-d[B]/dt$ will be:

For the reaction $\frac{1}{2} A \rightarrow 2B$,the rate of disappearance of $A$ is related to the rate of appearance of $B$ by which of the following expressions?