Calculate ΔHrxn for→+Cas+12O2g CO2g CaCO3sgiven the following set of reactions:→CaOs + Cas12O2g =ΔH635.1kJ→CaCO3s + CaOs CO2g =ΔH178.3kJBe sure your answer has the correct number of significant figures.
Question
Calculate ΔHrxn for→+Cas+12O2g CO2g CaCO3sgiven the following set of reactions:→CaOs + Cas12O2g =ΔH635.1kJ→CaCO3s + CaOs CO2g =ΔH178.3kJBe sure your answer has the correct number of significant figures.
Solution
To calculate the ΔHrxn for the reaction, we can use Hess's Law, which states that the enthalpy change of a reaction is the sum of the enthalpy changes of the individual steps.
Given the reactions:
- CaO(s) + 1/2 O2(g) → CaCO3(s) ΔH = -635.1 kJ
- CaCO3(s) → CaO(s) + CO2(g) ΔH = 178.3 kJ
We want to find the ΔH for the reaction:
- Ca(s) + 1/2 O2(g) → CO2(g) + CaCO3(s)
To get this, we need to reverse the second reaction and add it to the first. When we reverse a reaction, we change the sign of ΔH. So the ΔH for the reversed second reaction is -178.3 kJ.
Adding the ΔH values for the first reaction and the reversed second reaction gives us the ΔH for the reaction we're interested in:
ΔHrxn = ΔH1 + ΔH2(reversed) = -635.1 kJ - 178.3 kJ = -813.4 kJ
So, the ΔHrxn for the reaction Ca(s) + 1/2 O2(g) → CO2(g) + CaCO3(s) is -813.4 kJ.
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