A coffee-cup calorimeter contains of water and has a calorimeter constant (heat…

CHEMISTRY · Single correct · AP · Chemistry · Thermochemistry · Thermochemistry

Problem

A coffee-cup calorimeter contains 100.0 g100.0\,\text{g} of water and has a calorimeter constant (heat capacity) of 145 J ∘ ⁣C−1145\,\text{J}\,^{\circ}\!\text{C}^{-1}. When 1.25 g1.25\,\text{g} of LiCl(s)\mathrm{LiCl(s)} is added, the temperature of the water and calorimeter rises from 21.2 ∘ ⁣C21.2\,^{\circ}\!\text{C} to 23.05 ∘ ⁣C23.05\,^{\circ}\!\text{C}. The accepted literature value for ΔHsolution\Delta H_{\text{solution}} of LiCl(s)\mathrm{LiCl(s)} is −37.0 kJ mol−1-37.0\,\text{kJ}\,\text{mol}^{-1}. Which pair of experimental values is most consistent with the data? (a) ΔHsolution=+35 kJ mol−1;  percent error=4.6%\Delta H_{\text{solution}} = +35\,\text{kJ}\,\text{mol}^{-1};\;\text{percent error} = 4.6\% (b) ΔHsolution=−26 kJ mol−1;  percent error=29%\Delta H_{\text{solution}} = -26\,\text{kJ}\,\text{mol}^{-1};\;\text{percent error} = 29\% (c) ΔHsolution=−35 kJ mol−1;  percent error=4.6%\Delta H_{\text{solution}} = -35\,\text{kJ}\,\text{mol}^{-1};\;\text{percent error} = 4.6\% (d) ΔHsolution=−35 kJ mol−1;  percent error=9.2%\Delta H_{\text{solution}} = -35\,\text{kJ}\,\text{mol}^{-1};\;\text{percent error} = 9.2\%

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