Question

ume that the complete combustion of one mole of glucose, a monosaccharide, to carbon dioxide and water liberates 2870 kJ of energy (ΔG°′=−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 ΔG°′compound X=−35.1 kJ/mol. Round your answer to two significant figures.

Answer 1

Answer: 82 moles

Explanation:

Combustion is a type of chemical reaction in which fuel is reacted with oxygen to form carbon dioxide and water.

The balanced equation for combustion of glucose is:

$C_6H_{12}O_6+O_2 \rightarrow CO_2+H_2O$ $\Delta H^0=-2870kJ/mol$

Thus 2870 kJ of energy is released by combustion of 1 mole of glucose

Given : 1 mole of hypothetical compound X use 35.1 kJ of energy

If 35.1 kJ of energy produces = 1 mole of hypothetical compound X

2870 kJ of energy produce =$\frac{1}{35.1}\times 2870=82$ moles of hypothetical compound X

Thus 82 moles of hypothetical compound X could theoretically be generated.