Question #45031

What is ΔHreaction for the decomposition of 1 mole of sodium chlorate (H^0f values NaClO3(s) =
-85.7kcal/mol, NaCl(s) = -98.2kcal/mol, O2 (g) = 0kcal/mol
A) -183.9 kcal
B) -91.9 kcal
C) +45.3 kcal
D) +22.5 kcal
E) -12.5 kcal

Expert's answer

Question #45031 – Chemistry – Other

Question:

What is ΔH\Delta H reaction for the decomposition of 1 mole of sodium chlorate (H^0f values NaClO3(s) = -85.7kcal/mol, NaCl(s) = -98.2kcal/mol, O2(g) = 0kcal/mol

A) -183.9 kcal

B) -91.9 kcal

C) +45.3 kcal

D) +22.5 kcal

E) -12.5 kcal

Answer:

The equation of the reaction of decomposition:


2NaClO32NaCl+3O22 \mathrm{NaClO_3} \rightarrow 2 \mathrm{NaCl} + 3 \mathrm{O_2}


According to Hess Law, the change of enthalpy of the reaction is the difference between change of enthalpy of products and change of enthalpy of reactants:


ΔH=ΔHproductsΔHreactants=3×ΔH(O2)+2×ΔH(NaCl)2×ΔH(NaClO3)=3×0+2×(98.2)2×(85.7)=25kcal\Delta H = \sum \Delta H_{\text{products}} - \sum \Delta H_{\text{reactants}} = 3 \times \Delta H(O_2) + 2 \times \Delta H(NaCl) - 2 \times \Delta H(NaClO_3) = 3 \times 0 + 2 \times (-98.2) - 2 \times (-85.7) = -25 \text{kcal}


This value is the enthalpy of decomposition of 2 moles NaClO3\mathrm{NaClO_3}, so the enthalpy of decomposition of 1 mole NaClO3\mathrm{NaClO_3} is -12.5 kcal.

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