Difference Between Instantaneous Rate and Average Rate

The average rate is the change in concentration over a selected period of time. It depends on when you take the measurements. The instantaneous rate is the rate at a particular time. It is determined by finding the slope of the tangent to the concentration vs time curve at that time.

1. What is the difference between rate and average?
2. Why is instantaneous rate preferred over average rate?
3. What is the relationship between a function's average and instantaneous rates of change?
4. What is instantaneous rate?
5. What is average rate?
6. What is average rate of reaction?
7. Why in general a reaction does not proceed with a uniform rate throughout Because?
8. How is rate constant related to concentration of reactants?
9. What is the formula for instantaneous rate of change?
10. Is average rate of change the same as slope?
11. Is the instantaneous rate of change a limit?

What is the difference between rate and average?

1 Answer. The average is the total divided by the count. The average rate of change is the total distance traveled divided by the amount of time.

Why is instantaneous rate preferred over average rate?

The rate of reaction at any time depends upon one of the reactants at that time which is not constant but goes on decreasing with time continuously. Therefore, instantaneously rate gives more correct information at that time as compared to average rate.

What is the relationship between a function's average and instantaneous rates of change?

In general, instantaneous change is defined as the derivative of the function evaluated at a single point. The average change is the same as always (pick two points, and divide the difference in the function values by the difference in the x values).

What is instantaneous rate?

The instantaneous rate of change is the change in the rate at a particular instant, and it is same as the change in the derivative value at a specific point. For a graph, the instantaneous rate of change at a specific point is the same as the tangent line slope. That is, it is a curve slope.

What is average rate?

Average Rate — a single rate applying to property at more than one location that is a weighted average of the individual rates applicable to each location.

What is average rate of reaction?

The average rate of reaction is defined as the ratio of the change in the concentration of the reactants or the products of a chemical reaction to the time interval.

Why in general a reaction does not proceed with a uniform rate throughout Because?

The rate of a reaction does not remain uniform throughout the reaction because it depends on concentration which changes with passage of time.

How is rate constant related to concentration of reactants?

The rate constant (k) of a rate law is a constant of proportionality between the reaction rate and the reactant concentration. The exponent to which a concentration is raised in a rate law indicates the reaction order, the degree to which the reaction rate depends on the concentration of a particular reactant.

What is the formula for instantaneous rate of change?

The instantaneous rate of change at some point x0 = a involves first the average rate of change from a to some other value x. So if we set h = a − x, then h = 0 and the average rate of change from x = a + h to x = a is ∆y ∆x = f(x) − f(a) x − a = f(a + h) − f(a) h . f(a + h) − f(a) h .

Is average rate of change the same as slope?

The slope is the average rate of change about a point as the interval over which the average is being taken is reduced to zero. ... the slope of f(x) at x is indicated by the blue line.

Is the instantaneous rate of change a limit?

The instantaneous rate of change is also a limit. It is a limit of an average rate of change. Because the average rate of change is expressed as f(x+h)−f(x)h , the instantaneous rate of change is also a limit of the difference quotient.