a. Consider the reaction
Fe(s) + 2HCl(aq) --> FeCl2(s) + H2(g)
Using standard thermodynamic data at 298K, calculate the entropy change for the surroundings when 2.13 moles of Fe(s) react at standard conditions.
S°surroundings = ____ J/K
b. Consider the reaction
C2H4(g) + H2O(g) --> CH3CH2OH(g)
Using standard thermodynamic data at 298K, calculate the entropy change for the surroundings when 2.23 moles of C2H4(g) react at standard conditions.
S°surroundings = ___ J/K

Respuesta :

i) Entropy change for the surroundings when 2.13 moles of Fe(s) react at standard conditions is 52.89 K/J.

According to Hess law, “at constant temperature, heat energy changes (enthalpy – ΔHrec) accompanying a chemical reaction will remain constant, irrespective of the way the reactants react to form product”.

Heat of reaction = sum of heats of reaction of products - sum of heats of reaction of reactants or

ΔH0rxn = ∑n×ΔHf0(products)−∑n×ΔHf0(reactants)

= ΔHf0 FeCl2(s) + ΔHf0 H2(g) - (ΔHf0 Fe(s) + 2 *ΔHf0 HCl(aq))

= (-341.8 KJ + 0 KJ)-(2*-167.2 KJ+1*0 KJ)

= -7.4 KJ

the enthalpy change when 2.13 moles of Fe(s) react at standard conditions = 2.13(-7.4) KJ = -15.762 KJ

ΔS°surroundings = -ΔH0rxn /T

= -(-15.762 KJ)/298 K

= 52.89 J/K

ii) Entropy change for the surroundings when 2.23 moles of C2H4(g) react at standard conditions is 341.2 J/K.

According to Hess law,

ΔH0rxn = ∑n×ΔHf0(products)−∑n×ΔHf0(reactants)

= ΔHf0 CH3CH2OH(g) - (ΔHf0 C2H4(g) + ΔHf0 H2O(g)))

= (-235.1 KJ)-(52.3 KJ+(-241.8 KJ)

= -45.6 KJ

the enthalpy change when 2.23 moles of C2H4(g) react at standard conditions = 2.23(-45.6) KJ = -101.688 KJ

ΔS°surroundings = -ΔH0rxn /T

= -(-101.688 KJ)/298 K

= 341.2 J/K

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