A bomb calorimeter is calibrated by combusting of benzoic acid

CHEMISTRY · Single correct · A Level · Chemistry · Energetics · Energetics

Problem

A bomb calorimeter is calibrated by combusting 0.985 g0.985\,\text{g} of benzoic acid, which has an internal energy of combustion of −26.38 kJ g−1-26.38\,\text{kJ}\,\text{g}^{-1}. The temperature of 950 g950\,\text{g} of water surrounding the bomb rises by 3.86 ∘ ⁣C3.86\,^\circ\!\text{C}. The same calorimeter is then used to burn 1.250 g1.250\,\text{g} of an unknown hydrocarbon, causing a temperature rise of 4.47 ∘ ⁣C4.47\,^\circ\!\text{C}. What is the specific internal energy of combustion of the unknown hydrocarbon (in kJ g−1^{-1})? (a) 30.5 kJ g−130.5\,\text{kJ}\,\text{g}^{-1} (b) 24.1 kJ g−124.1\,\text{kJ}\,\text{g}^{-1} (c) 21.0 kJ g−121.0\,\text{kJ}\,\text{g}^{-1} (d) 18.6 kJ g−118.6\,\text{kJ}\,\text{g}^{-1}

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