A student places a strip of magnesium with mass into of aqueous hydrochloric acid at

CHEMISTRY · Subjective · A Level · Chemistry · Energetics · Energetics

Problem

A student places a strip of magnesium with mass 0.125 g0.125\,\text{g} into 150 g150\,\text{g} of aqueous hydrochloric acid at 25.0∘C25.0^{\circ}\text{C}. The solution temperature rises to 28.8∘C28.8^{\circ}\text{C}. Assume the specific heat capacity of the solution is 4.18 J g−1 ∘C−14.18\,\text{J}\,\text{g}^{-1}\,^{\circ}\text{C}^{-1} and the density is 1.00 g mL−11.00\,\text{g}\,\text{mL}^{-1}. Determine the molar enthalpy change, ΔHrxn\Delta H_{\text{rxn}}, for the reaction Mg(s)+2HCl(aq)→MgCl2(aq)+H2(g)\text{Mg}(s)+2\text{HCl}(aq)\rightarrow\text{MgCl}_2(aq)+\text{H}_2(g) in kJ mol−1\text{kJ}\,\text{mol}^{-1} of magnesium.

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