4.66 - Thermodynamics study questions - 3

Q466-03 Define the term standard enthalpy of formation and illustrate your answer with an equation including state symbols for the formation of nitric acid.
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The energy change when 1 mole of a substance is formed from its constituent elements in their states under standard conditions.

The enthalpy of formation of nitric acid:

½H2(g) + ½N2(g) + 1½O2(g) HNO3(l)

The standard enthalpy of formation of propyne = +186 kJ. It undergoes complete combustion as follows:

C3H4(g) + 4O2(g) 3CO2(g) + 2H2O(l)

Calculate the enthalpy change of this reaction given the following values:

ΔHf of CO2(g) = -394 kJ
ΔHf of H2O(l) = -286 kJ
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Reactants formation enthalpy

1 x C3H4(g) = 1 x 186 = 186 kJ
Total = 186 kJ

Products formation enthalpy

3 x CO2(g) = 3 x -394 = -1182 kJ
2 x H2O(g) = 2 x -286 = -572 kJ
Total = -1754 kJ

Reaction enthalpy ΔH = -1754 - 186 = -1940 kJ

Predict and explain whether the value of ΔS for the combustion of propyne would be negative, close to zero or positive.

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The combustion reaction has 5 moles of gas on the left hand side and only 3 moles of gas on the right hand side. The expected entropy change would be negative as the number of moles of gas decreases.

Propyne reacts with hydrogen as follows:

C3H4(g) + 2H2(g) C3H8(g)ΔH = -287 kJ

Calculate the standard entropy change of this reaction given the following information:

S of H2 (g) = 131 J K-1 mol-1
S of C3H4 (g) = 248 J K-1 mol-1
S of C3H8 (g) = 270 J K-1 mol-1
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Reactant entropy

1 x C3H4(g) = 1 x 248 = 248 J K-1
2 x H2(g) = 2 x 131 = 262 J K-1
Total = 510 J K-1

Product entropy

1 x C3H8(g) = 1 x 270 = 270 J K-1

The entropy change, ΔS = 270 - 510 = -240 J K-1

The sign of the entropy change is negative as the overall entropy decreases.


Calculate the standard free energy change at 298K. ΔG for the hydrogenation reaction above.

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Standard free energy change, ΔG is given by the equation:

ΔG = ΔH - TΔS

at 25ºC (298K) ΔG = -287 - 298 (-0.24)

∴ ΔG = -287 + 71.5 = -215.5 kJ


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