Assume that coal is made entirely of carbon and has a density of 1.5 g/mL. How much heat is produced if a piece of coal 7.0 cm x 5.0 cm x 6.0 cm undergoes a complete combustion reaction? The reaction has ΔH = -394 kJ/mol.
volume of the carbon = 7.0 cm x 5.0 cm x 6.0 cm
= 210 cm3
= 210 mL
and therefore mass of carbon = 210 ml x 1.5 g/ml = 315 grams
moles of carbon = 315 grams / 12 g/mol
= 26.25 mol
heat produced = 394 kJ/mol x 26.25 mol = 10342.5 kJ = 1.034 x 10^7 J
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