Calorimetry (Oxford AQA International A Level Chemistry)

Revision Note

Alexandra Brennan

Written by: Alexandra Brennan

Reviewed by: Stewart Hird

Calorimetry

  • The process of calorimetry is used to measure enthalpy changes 

Measuring enthalpy changes of combustion

  • The apparatus below is used to find the enthalpy change when a fuel burns

Simple Calorimeter_1, downloadable IB Chemistry revision notes
A lid is used to prevent heat loss
  • The steps are: 

    1. Measure a fixed volume of water into a copper can

    2. Weigh the spirit burner containing  a fuel using a balance

    3. Measure the initial temperature of the water

    4. Burn the fuel and stir the water 

    5. Wait until the temperature has risen by approximately 20 oC and extinguish the flame

    6. Record the final temperature of the water and re-weigh the spirit burner

  • To calculate the energy released by the fuel we can use the data obtained from the experiment above and the specific heat capacity of water 

  • The specific heat capacity, c, is the energy needed to raise the temperature of 1 g of a substance by 1 °C

    • The specific heat capacity of water is 4.18 J/g/°C

  • The heat energy change is calculated using:

bold italic q bold space bold equals bold space bold italic m bold cross times bold italic c bold cross times bold capital delta bold italic T

  • The symbols / letters are:

    • q = the heat energy change, J

    • m = the mass of the substance being heated, g

    • c = the specific heat capacity, J/g/°C

    • ΔT = the temperature change, °C

  • We can compare the amount of energy released per gram and per mole for different fuels

  • In both cases, the energy released (q) is calculated first

  • To calculate the energy released per gram of fuel:

energy released per gram= energy released / mass of fuel burned 

  • To calculate the energy released per mole of fuel:

energy released per mole= energy released / number of moles

bold increment bold italic H bold equals bold space bold italic q over bold italic n

Enthalpy changes of reactions in solutions

  • To calculate the amount of energy produced by a chemical reaction in solution we measure the temperature change when the solutions are mixed together

  • The solutions need to be mixed together in an insulated container to prevent heat loss

  • This method can be used for:

    • Neutralisation reactions

    • Displacement reaction

Equipment Set up

Apparatus used to find the energy released when two solutions are mixed together
A polystyrene cup acts a good insulator when two solutions are mixed together
  • Method:

    1. A fixed volume of one reagent is added to the calorimeter and the initial temperature taken with a thermometer

    2. An excess amount of the second reagent is added and the solution is stirred continuously

    3. The maximum temperature is recorded and the temperature rise calculated

  • Again, the energy released would be calculated using:

bold italic q bold space bold equals bold space bold italic m bold cross times bold italic c bold cross times bold capital delta bold italic T

  • We assume that the density of the solution is the same as pure water, i.e. 1 g/cm3

  • To calculate the energy released per mole, kJ mol-1:

bold increment bold italic H bold space bold equals bold space bold italic q over bold italic n

Cooling curves

  • For reactions which are not instantaneous there may be a delay before the maximum temperature is reached

  • During that delay the substances themselves may be losing heat to the surroundings and would lead to inaccurately calculated enthalpy changes

  • To overcome this problem we can produce a cooling curve:

    1. Place one reactant in the polystyrene cup

    2. Take the temperature of the reactant every minute for approximately 4 minutes

    3. Add the second reactant and continue recording the temperature every minute for approximately 6 minutes

    4. Plot the graph of temperature against time

    5. Extrapolate the cooling part of the graph until you intersect the time at which the second reactant was added

Cooling curve
The temperature should remain constant for the first 4 minutes, until the second reactant is added.

Worked Example

The energy from 0.01 mol of propanol was used to heat up 250 g of water.

The temperature of the water rose from 25 °C to 37 °C .

The specific heat capacity of water is 4.18 J/g/°C.

Calculate the enthalpy change in kJ/mol.

Answer:

  • Step 1: q = m x c x ΔT

    • m (of water) = 250 g

    • c (of water) = 4.18 J /g/°C

    • ΔT (of water) = 37 – 25 °C = 12 °C

    • q = 250 x 4.18 x 12 = 12 540 J

  • Step 2:  Calculate the energy released per mole

    •   ΔH = q ÷ n

    • 12 540 J ÷ 0.01 mol = 1 254 000 J mol-1

    •  – 1254 kJ mol-1

Worked Example

50 cm3 of 1.00 mol dm-3 HCl and 50 cm3 of of 1.00 mol dm-3 sodium hydroxide were mixed together in a polystyrene cup. The temperature increased by 12 K.

Calculate the enthalpy change for the reaction in kJ mol-1.

Answer:

Step 1: q= m x c x ΔT

  • m (of solution) = 100 g

  • c (of water) = 4.18 J /g/°C

  • ΔT (of water) = 12 K

  • q = 100 x 4.18 x 12 = 5016 J

Step 2: Calculate the number of moles of acid

  • Moles= (50/1000) x 1= 0.05 mol

Step 3: Calculate ΔH = q ÷ n

  • 5016 J ÷ 0.05 mol = 1 00 320 J mol-1

  • =  – 100.32 kJ mol-1

Examiner Tips and Tricks

You could be given the temperatures in K or oC, but remember the temperature change will be the same!

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Alexandra Brennan

Author: Alexandra Brennan

Expertise: Chemistry

Alex studied Biochemistry at Newcastle University before embarking upon a career in teaching. With nearly 10 years of teaching experience, Alex has had several roles including Chemistry/Science Teacher, Head of Science and Examiner for AQA and Edexcel. Alex’s passion for creating engaging content that enables students to succeed in exams drove her to pursue a career outside of the classroom at SME.

Stewart Hird

Author: Stewart Hird

Expertise: Chemistry Lead

Stewart has been an enthusiastic GCSE, IGCSE, A Level and IB teacher for more than 30 years in the UK as well as overseas, and has also been an examiner for IB and A Level. As a long-standing Head of Science, Stewart brings a wealth of experience to creating Topic Questions and revision materials for Save My Exams. Stewart specialises in Chemistry, but has also taught Physics and Environmental Systems and Societies.