Question

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.

Answer 1

Answer: 42 moles

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 =$\frac{1}{67.5}\times 2870=42moles$

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