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Hess's law exercise answer 2

2NaHCO3(aq) + CaCl2(aq) CaCO3(s) + 2NaCl(aq) + H2O(l) + CO2(g)

We have carried out the following two reactions and obtained enthalpy change values for them:

NaHCO3(aq) + HCl(aq) NaCl(aq) + H2O(l) + CO2(g)

DH1

CaCO3(s) + 2HCl(aq) CaCl2(aq) + H2O(l) + CO2(g)

DH2

I'll start by looking at the problem in a different way without the Hess's Law triangle. If we look at the reactants, we have two moles of NaHCO3 so we could start by doubling up reaction 1 to give 2DH1:

2NaHCO3(aq) + 2HCl(aq) 2NaCl(aq) + 2H2O(l) + 2CO2(g)

2DH1

We can also see that there is a mole of CaCl2 as a reactant. This is present in reaction 2, but as a product. We can reverse this reaction and expect a change in the sign of DH2:

CaCl2(aq) + H2O(l) + CO2(g) CaCO3(s) + 2HCl(aq)

- DH2

We now add these two processes together:

2NaHCO3(aq) + 2HCl(aq) + CaCl2(aq) + H2O(l) + CO2(g) 2NaCl(aq) + 2H2O(l) + 2CO2(g) + CaCO3(s) + 2HCl(aq)

Certain substances are found on both sides of the equation (indicated in blue above) and can be cancelled to give:

2NaHCO3(aq) + CaCl2(aq) 2NaCl(aq) + H2O(l) + CO2(g) + CaCO3(s)

2DH1 - DH2

What we find is that this is the reaction that we were originally looking for. So, DH = 2DH1 - DH2.

We can still draw a Hess's Law triangle:


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