Step 1: Average Rate of Reaction.
The average rate of reaction is the change in concentration of reactants or products divided by the time interval during which the change occurs.
\[
\text{Average rate} = \frac{-\Delta [R]}{\Delta t} = \frac{\Delta [P]}{\Delta t}
\]
Step 2: Instantaneous Rate of Reaction.
The instantaneous rate of reaction is the rate at a specific moment of time. It is obtained by finding the slope of the tangent to the concentration-time curve at that instant.
\[
\text{Instantaneous rate} = -\frac{d[R]}{dt} = \frac{d[P]}{dt}
\]
Step 3: Factors Affecting Reaction Rates.
Two important factors are:
1.
Concentration of Reactants: Higher concentration increases the frequency of collisions, leading to a faster rate.
2.
Temperature: Increasing temperature raises the kinetic energy of molecules, resulting in more effective collisions and faster reaction rate.
Conclusion:
The average rate gives a broad measure over an interval, while instantaneous rate measures the exact speed of reaction at a given time. Both are influenced by factors like concentration and temperature.