Question

From the data given in Appendix I, determine the standard enthalpy change and the standard free energy change for each of the following reactions: (a) BF3( g)+3H2O(l)B(OH)3( s)+3HF(g)\mathrm{BF}_3(\mathrm{~g})+3 \mathrm{H}_2 \mathrm{O}(l) \longrightarrow \mathrm{B}(\mathrm{OH})_3(\mathrm{~s})+3 \mathrm{HF}(\mathrm{g}) (b) BCl3( g)+3H2O(l)B(OH)3( s)+3HCl(g)\mathrm{BCl}_3(\mathrm{~g})+3 \mathrm{H}_2 \mathrm{O}(l) \longrightarrow \mathrm{B}(\mathrm{OH})_3(\mathrm{~s})+3 \mathrm{HCl}(\mathrm{g}) (c) B2H6( g)+6H2O(l)2 B(OH)3(s)+6H2( g)\mathrm{B}_2 \mathrm{H}_6(\mathrm{~g})+6 \mathrm{H}_2 \mathrm{O}(\mathrm{l}) \longrightarrow 2 \mathrm{~B}(\mathrm{OH})_3(s)+6 \mathrm{H}_2(\mathrm{~g})

Solution

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a) The given chemical reaction is shown below:

BF3(g) + 3H2O(l)B(OH)3(s) + 3HF(g)\begin{aligned}\text{BF}_{3\text{(g)}}~+~3\text{H}_{2}\text{O}_{\text{(l)}}\rightarrow\text{B(OH)}_{3\text{(s)}}~+~\text{3HF}_{\text{(g)}}\end{aligned}

We can calculate for the standard enthalpy change ΔH\Delta H^\circ using the equation:

ΔH=ΔHf(products)  ΔHf(reactants)\begin{aligned}\Delta H^\circ = \sum \Delta H^\circ _{f}(products)~-~\sum \Delta H^\circ _{f}(reactants) \end{aligned}

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