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Assume that the complete combustion of one mole of glucose, a monosaccharide, to carbon dioxide and water liberates 2870 kJ of energy (Δ????°′=−2870 kJ/mol ). If the energy generated by the combustion of glucose is entirely converted to the synthesis of a hypothetical compound X, calculate the number of moles of the compound that could theoretically be generated. Use the value Δ????°′compound X=−67.5 kJ/mol . Round your answer to two significant figures.

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Answer: 42 moles

Step-by-step explanation:

The balanced chemical reaction for combustion of 1 mole of glucose is:


C_6H_(12)O_6+6O_2\rightarrow 6CO_2+6H_2O

Energy released during combustion of 1 mole of glucose = 2870 kJ

It is also given that:

Energy required to form 1 mole of compound X = 67.5 kJ

This 67.5 kJ of energy is used to form = 1 mole

2870 kJ of energy is used to form =
(1)/(67.5)* 2870=42moles

Thus 42 moles of the compound X could theoretically be generated.

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