IB Chemistry SL Reactivity 1.2.2 Hess's Law

Practise applying Hess's law when the target reaction is assembled from several thermochemical equations. Reverse equations and enthalpy signs together, multiply both by the same…

Exam points

reverse an equation together with the sign of its enthalpy change when required
multiply every coefficient and ΔH value by the same stoichiometric factor
cancel intermediate species and add the adjusted enthalpies to obtain the target reaction

[Maximum number: 1]

The students repeated the experiment using 6.16 g of solid hydrated magnesium sulfate, $\mathrm{MgSO}_{4} \cdot 7 \mathrm{H}_{2} \mathrm{O}(\mathrm{s})$ , and $50.0 \mathrm{~cm}^{3}$ of water. They found the enthalpy change, $\Delta H_{2}$ , to be $+18 \mathrm{~kJ} \mathrm{~mol}^{-1}$ .

The enthalpy of hydration of solid anhydrous magnesium sulfate is difficult to determine experimentally, but can be determined using the diagram below.

\mathrm{MgSO}_{4} \cdot 7 \mathrm{H}_{2} \mathrm{O}(\mathrm{~s}) \xrightarrow[\text { water }]{\Delta H_{2}} \mathrm{Mg}^{2+}(\mathrm{aq})+\mathrm{SO}_{4}^{2-}(\mathrm{aq})

Determine the enthalpy change, $\Delta H$ , in $\mathrm{kJ} \mathrm{mol}^{-1}$ , for the hydration of solid anhydrous magnesium sulfate, $\mathrm{MgSO}_{4}$ .

$\quad \Delta H\left(=\Delta H_{1}-\Delta H_{2}\right)=-99\left(\mathrm{~kJ} \mathrm{~mol}^{-1}\right)$ ;

Marking guidance:

Award [1] if-86 is used giving an answer of $-104\left(\mathrm{~kJ} \mathrm{~mol}^{-1}\right)$ .

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1.2.2—Hess's law question 1