Continuous monitoring involves collecting experimental data throughout the course of a reaction to plot a concentration-time graph.
Two of the most common way to collect data for concentration-time graphs are:
measuring the volume of gas evolved over time
measuring the mass of reactants lost over time
To find the rate of reaction at any given point, a tangent is drawn and the gradient is determined. The gradient gives the rate of reaction.
How do you find the rate of reaction from a graph?
Draw a tangent. The gradient of the tangent gives the rate of reaction.
You can also plot a concentration-time graph through colorimetry.
Q: Describe in detail an experiment to measure the rate of reaction of hydrochloric acid with limestone chips.
-Use a measuring cylinder to measure 50cm3 of 0.100 mol dm-3 hydrochloric acid.
-Add acid to excess limestone chips, insert bung as rapidly as possible.
-Use gas syringe to measure and record volume of gas collected at set intervals of time.
Q: Briefly describe a method to measure the rate of reaction for the equation : Br2 + HCO2H ----> 2HBr + CO2.
Use colorimeter to measure and record transmittance of solution at set intervals of time using a stopwatch.
Use calibration curve to determine concentration of bromine.
Plot graph of Bromine concentration against time.
Find the gradient of a tangent to graph at time t to find the rate of reaction at time t.
The effect that a concentration of a reactant has on the rate of reaction is called the order with respect to a reactant.
In a zero-order reaction, the concentration of the reactant is inversely proportional to time. This means that the reactant concentration decreases as time increases. The graph is a straight line going down.
If the concentration of a chemical is directly proportional to the rate of the reaction, the chemical is first order.
If the rate is directly proportional to the square of the concentration of a chemical, then the chemical is second order.
If changing the concentration of a reactant has no effect on the rate of the reaction, then it is zero order.
On a zero-order graph, the gradient of the line is the rate of reaction.
In a first-order reaction, the concentration of the reactant decreases with time. The graph is a curve going downwards and eventually plateaus.
In a second-order reaction, the concentration of the reactant decreases more steeply with time. The concentration of a reactant decreases more with increasing time compared to a first-order reaction. The graph is a steeper curve going downwards.
In a zero-order reaction, the rate does not depend on the concentration of the reactant. The rate of the reaction therefore remains constant throughout the reaction. The graph is a horizontal line.
In a first-order reaction, the rate is directly proportional to the concentration of a reactant. The graph is a straight, upwards line.
In a second-order reaction, the rate is directly proportional to the square of concentration of a reactant. The graph is an upwards curved line.
The rate constant, k, is the constant that links the rate of reaction with the concentrations of the reactants raised to the powers of their orders in the rate equation.
The rate equation shows the relationship between the rate of a reaction and the concentrations of the reactants raised to the powers of their orders.
If the temperature of a reaction is increased, then the rate constant k increases and hence the rate of reaction also increases.
Order is the order with respect to a reactant is the power to which the concentration of the reactant is raised in the rate equation.
What does k represent?
The rate constant.
To find the overall order of a reaction, add up all the individual orders of reactants.
The initial rate can be found by:
Drawing a concentration-time graph.
Adding a tangent at t=0
Calculating the gradient of the tangent
Half life of a reactant is the time taken for the concentration of the reactant to reduce by half its original value.
For a zero-order reaction the successive half-lives decrease with time. This means that it would take less time for the concentration of a reactant to halve as the reaction progresses.
The half-life of a first order reaction remains constant throughout the reaction. The amount of time required for the concentration of the reactant to halve will be the same during the entire reaction.
For a second-order reaction, the half-life increases with time. This means that as the reaction takes place, it takes more time for the concentration of reactants to halve.
The half-life of a first order reaction independent of the concentration and is therefore constant. You can prove this by: