## Related questions with answers

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) $\mathrm{BF}_3(\mathrm{~g})+3 \mathrm{H}_2 \mathrm{O}(l) \longrightarrow \mathrm{B}(\mathrm{OH})_3(\mathrm{~s})+3 \mathrm{HF}(\mathrm{g})$ (b) $\mathrm{BCl}_3(\mathrm{~g})+3 \mathrm{H}_2 \mathrm{O}(l) \longrightarrow \mathrm{B}(\mathrm{OH})_3(\mathrm{~s})+3 \mathrm{HCl}(\mathrm{g})$ (c) $\mathrm{B}_2 \mathrm{H}_6(\mathrm{~g})+6 \mathrm{H}_2 \mathrm{O}(\mathrm{l}) \longrightarrow 2 \mathrm{~B}(\mathrm{OH})_3(s)+6 \mathrm{H}_2(\mathrm{~g})$

Solution

Verifieda) The given chemical reaction is shown below:

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

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

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

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