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Experimental methods of determining enthalpy change: Determining the enthalpy of solution of potassium chloride and sodium carbonate, method and calculation

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Experimental methods of determining enthalpy changes

Energetics–Thermochemistry–Thermodynamics Notes INDEX


4. Determining the enthalpy of solution of potassium chloride with a simple plastic 'coffee cup' calorimeter (method 1.3a1)

Enthalpy of solution ΔHsolution(potassium chloride) is defined as the total heat energy absorbed or released when 1 mole of a potassium chloride dissolves in water to form a dilute solution.

The determination of the enthalpy of solution (dissolution) of potassium chloride.

KCl(s)  +  aq  ===> K+(aq)  +  Cl-(aq)

 

Method (for more experimental details see method 1.3a1)

Using a simple polystyrene calorimeter 4.0 g of potassium chloride was dissolved in 50 ml (50 g) of water.

(Assuming density of water is 1.00 g/cm3, but you can weigh the water to be more accurate).

Reading every 30 seconds, measure the temperature for few minutes before adding the accurately weighed amount of potassium chloride salt.

When the potassium chloride is added, stir gently to make sure all the salt is dissolved and take temperature readings for another 8-10 minutes.

thermochemistry polystyrene cup calorimeter measuring energy transfer neutralisation displacement precipitation dissolving salts

Typical temperature-time graph shape for an calorimetric endothermic experiment

Graphical analysis (e.g. like above) showed the temperature fell by 4.40oC.

This is obtained using the extrapolated purple lines to correct as much as possible for heat energy gain as the calorimeter and contents start warming up as soon as the potassium chloride dissolves!

 

Calculation

Calculate the enthalpy of dissolution (dissolving) of potassium chloride.

Heat absorbed by the water = mass of water x SHCwater x temperature

q = m c ΔT (m in g, c = 4.18 Jg-1K-1, ΔT temperature rise in oC)

Mr(KCl) = 39 + 35.5 = 74.5; mol KCl = 4.0/74.5 = 0.05369 mol

 

(i) Using the value of the heat capacity of pure water and just the mass of the water.

q = m c ΔT

q = 50 x 4.18 x 4.40 = 919.6 J, 0.9196 kJ

Scaling up to 1 mole = 0.9196 x (1/0.05369) = 17.1 kJ mol–1

Since the temperature has fallen, the change is endothermic

So ΔHdissolution(KCl) = +17.1 kJ mol–1   (only accurate to 3 sf)

This value is not too dissimilar from the theoretically better calculation (i) below.

 

(ii) Using the total mass and the likely SHC of the potassium chloride solution, assuming it is similar to sodium chloride at around a 1 molar concentration.

q = m c ΔT

q = 54 x 3.90 x 4.40 = 926.6 J, 0.9266 kJ

Scaling up to 1 mole = 0.9266 x (1/0.05369) = 17.3 kJ mol–1

Since the temperature has fallen, the change is endothermic

So ΔHdissolution(KCl) = +17.3 kJ mol–1  (only accurate to 3 sf)

Both methods (i) and (ii) give similar results, again justifying the textbooks/internet pages that ignore the mass of the salt and using the SHC of pure water.


Determining the enthalpy of solution of sodium carbonate with a simple plastic 'coffee cup' calorimeter (method 1.3a1)

Enthalpy of solution ΔHsolution(sodium carbonate) is defined as the total heat energy absorbed or released when 1 mole of a sodium carbonate dissolves in water to form a dilute solution.

The determination of the enthalpy of solution (dissolution) of potassium chloride.

Na2CO3(s)  +  aq  ===> 2Na+(aq)  +  CO32-(aq)

 

Method (for experimental details see method 1.3a1)

Reading every 30 seconds, measure the temperature for few minutes before adding the accurately weighed amount of sodium carbonate.

When the sodium carbonate is added, stir gently to make sure all the solid is dissolved and take temperature readings for another 8-10 minutes.

Typical temperature-time graph shape for a typical calorimetric exothermic experiment.

An example of an exothermic enthalpy of solution (dissolution) is dissolving anhydrous sodium carbonate in water.

Na2CO3(s)  +  aq  ===>  2Na+(aq)  +  CO32-(aq)

On dissolving 8.5 g of anhydrous sodium carbonate in 50 cm3 of water, the temperature rose by a maximum of 8.1oC e.g. using an extrapolation graph method illustrated above.

This is obtained using the extrapolated purple line to correct as much as possible for heat energy loss as the calorimeter and contents start cooling down as soon as the sodium carbonate dissolves!

 

Calculation

Calculate the enthalpy of solution of anhydrous sodium carbonate.

Formula mass of Na2CO3 = 106

q = m c ΔT (m in g, c = 4.18 Jg-1K-1, ΔT temperature rise in oC)

q = 50 x 4.18 x 8.1 = 1692.9 J, 1.6929 kJ

mol Na2CO3 = 8.5/106 = 0.0802

Scaling up to 1 mol = 1.6929 x 1.0/0.0802 = 21.108

Since the temperature rose, exothermic, therefore

So ΔHdissolution(Na2CO3) = –21.1 kJ mol–1  (only accurate to 3 sf)


Experimental methods of determining enthalpy changes

Energetics–Thermochemistry–Thermodynamics Notes INDEX


thermochemistry of determining the enthalpy of solution of potassium chloride & sodium carbonate, method, apparatus, data, calculation, plastic cup calorimeter, thermochemistry for AQA, Edexcel, OCR, Salters, CIE, WJEC Eduqas & CCEA A-level chemistry exam students, US grades 11-12 K12 AP Honors chemistry courses

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