Write the following equations for the reaction $R \to P$: $(i)$ Average rate $(ii)$ Instantaneous rate.

(N/A) For a chemical reaction $R \to P$ where $R$ is the reactant and $P$ is the product:
$(i)$ The average rate of reaction is given by the change in concentration over a finite time interval: $\text{Average rate} = -\frac{\Delta[R]}{\Delta t} = \frac{\Delta[P]}{\Delta t}$
$(ii)$ The instantaneous rate of reaction is the rate at a specific moment in time,given by the derivative of concentration with respect to time: $\text{Instantaneous rate} = -\frac{d[R]}{dt} = \frac{d[P]}{dt}$