Reaction rate experiment

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Reaction kinetics

DP Chemistry

How Fast? The Rate of Chemical Change

Some reactions take place almost instantly, like fireworks, others, like rusting take place in days. How fast do chemical reactions take place? Understanding the answer is important for many things, such as, designing new drugs, minimising the impact of chemicals we burn, and more.

The rate of a chemical reaction is defined as the change in concentration of a reactant or product during a specific unit of time. It gives an idea of how fast the reactants are being consumed or products being formed.

Measuring Reaction Rate

To know with how much speed a reaction is taking place, scientists measure:

  • Change in concentration of a reactant or product
  • The time interval during which the change occurs.

A classic example of the chemical reaction is, dissolving magnesium in hydrochloric acid, which releases hydrogen gas. The reaction rate can be established or measured by the amount of hydrogen gas given off in the period of a second.

There is a chemical reaction that takes place when iodine and propanone are mixed with acid. The reaction produces a color change, and the speed of the reaction can be measured by the amount of time it takes for the color of the solution to change.

Rate = Change in concentration / Time taken

Factors Influencing Reaction Speed

Here is a breakdown of the factors that influence the speed of a reaction.

Concentration of Reactants

A reaction occurs between particles, so when a concentration is increased, more particles are present, increasing the likelihood of more collisions, speeding the reaction.

Example: Producing hydrogen gas with magnesium increases when the acid concentration is increased.

Temperature

When there is an increase in temperature, molecules and particles are moving faster and more collisions occur. As a result, the reaction occurs faster.

Rule of thumb: Usually, a 10 degree increase in temperature increases reaction rate by around 2x.

Surface Area

When there is increased surface area, there are more opportunities for collisions, speeding the reaction.

Example: Powdered calcium reacts faster than when it is in a solid block.

Catalysts

One of the many properties of catalysts is that they increase the rate of a reaction while also not getting consumed in the reaction. They also provide a different pathway for the reaction to occur, and in turn, lower the amount of activation energy.

Example: Enzymes, and platinum in catalytic converters.

Pressure (for gases)

Higher pressure decreases the distance between gas molecules, leading to more collisions, therefore speeding the reaction.

Collision Theory

Collision theory is an explanation for different reaction rates. The theory states that in order for a reaction to occur, gas molecules must collide, and the energy of the collisions must be strong enough to overcome the activation energy barriers.

Not all collisions result in a reaction. Only collisions with energy that is equal to or above the activation energy barrier will result in a reaction.

Activation energy (Ea): The energy required for the reaction to start.

When the temperature is increased, more particles will have the energy equal to or greater than Ea, causing the reaction to happen more quickly.

Catalysts: decrease the activation energy, leading to more successful collisions and faster reactions.

Rate Laws and Order of Reaction

When describing a reaction, the rate of a reaction is typically dependent on the amount of reactants involved. This is shown in a rate law as:

Rate = k[A]ᵐ[B]ⁿ

Where:

  • k = rate constant (depends on temperature)
  • [A] and [B] = concentrations of the reactants
  • m and n = orders of the reaction (show how the rate changes with the amount of reactants)

Example: For reaction A + B → C with rate = k[A][B]²

  • If [A] is doubled, the rate is also doubled
  • If [B] is doubled, the rate is quadrupled

The reaction order is determined by experiment and not just from the balanced equation.

Integrated Rate Equations

Integrated rate laws allow the prediction of the concentration at a given time. The most common cases are first and second order reactions.

First order reactions:

ln[A] = -kt + ln[A]₀

When a graph of ln[A] is made vs time, it yields a straight line and slope = -k

Second order reactions:

1/[A] = kt + 1/[A]₀

A graph of 1/[A] vs time also yields a straight line and slope = k

Half-life, (t₁/₂): the amount of time for half the reactants to react.

For first order reactions, t₁/₂ = 0.693/k

This is independent of the initial concentration.

Experimental Methods to Measure Rate

Collection of gas

It is possible to measure the volume of gas that is produced in a given amount of time.

Example: Reaction of HCl with magnesium (Mg) which produces H₂ gas

Change in mass

Mass seems to decrease because the reaction produces a gas. The change in mass can be recorded using a balance.

Color change / Spectrophotometry

During a reaction, a colored reactant is measured, and the color (absorbance) is measured over time.

Example: Reaction of I₂ (iodine) with thiosulfate

Titration method

Take samples at different time intervals, then titrate to determine concentration.

Example: Reaction of sodium thiosulfate with acid

Temperature and the Arrhenius Equation

Arrhenius equation:

k = A e⁻ᴱᵃ/ᴿᵀ

where:

  • k = rate constant
  • A = frequency factor (pre-exponential factor)
  • Ea = activation energy (J/mol)
  • R = gas constant (8.314 J/mol·K)
  • T = temperature (K)

The Arrhenius equation will help experimentally determine the activation energy and how fast the reactions will occur at various temperatures.

Key Concepts

  • Rate of reaction = change in concentration over time
  • Increased reaction rate is caused by the following factors: increased concentration, increased temperature, increased surface area, the presence of catalysts, and increased pressure
  • Collision theory states that to react, particles must collide with the appropriate amount of energy and in the correct orientation
  • Activation energy is the amount of energy required to start a reaction
  • The rate law of a reaction expresses the rate of that reaction as a function of the concentration with respect to the reaction order
  • The integrated rate laws of a reaction help predict the concentration of reactants and products as a function of time and calculate for a given time period, the amount of reactants or products that remains (which is called the half-life)
  • The experimental methods used to study reaction rates and mechanisms include the collection of gases, the measurement of mass loss, the examination of color change, and the process of titration
  • The Arrhenius equation gives a relationship between the rate constant of a reaction and the temperature and the activation energy of a reaction

While understanding reaction rates is critical for examination purposes, it also allows Chemists to:

  • Control processes in industries to optimize the yield of a desired product
  • Design drugs to control the speed at which a reaction occurs in the body
  • Studying the breakdown of pollutants in order to control processes of an environment

Understand that the study of reaction rate allows the visualisation, prediction and control over the invisible motion of atoms in a chemical reaction.