Question

How many moles of ${{C}_{6}}{{H}_{12}}{{O}_{6}}$ are needed to produce 24 moles of carbon dioxide?

Answer 1

Hint: A mole of a substance or particle can be defined as containing exactly $6.02214076\times {{10}^{23}}$ particles which may be atoms, molecules or ions where $6.02214076\times {{10}^{23}}$ is known as the Avogadro’s number.

Complete step-by-step answer: Mole is generally represented by the symbol mol. It is generally described as the unit of measurement for the amount of substance in SI where SI stands for International System of units. It is defined on the basis of Avogadro’s number.
In the given question number of moles of glucose which is represented by the molecular formula ${{C}_{6}}{{H}_{12}}{{O}_{6}}$ can be calculated by the considering the following reaction:
${{C}_{6}}{{H}_{12}}{{O}_{6}}+9{{O}_{2}}\to 6C{{O}_{2}}+6{{H}_{2}}O$
This reaction explains that 1 mole of glucose produces 6 moles of carbon dioxide represented by the molecular formula $C{{O}_{2}}$.
Now we can also take it in inverse manner i.e. 6 moles of carbon dioxide produce 1 mole of glucose
1 moles of carbon dioxide provide $\dfrac{1}{6}$ moles of glucose
24 moles of carbon dioxide provides $\dfrac{1}{6}\times 24=4$ moles of glucose.
Thus we can say that 4 moles of ${{C}_{6}}{{H}_{12}}{{O}_{6}}$ are needed to produce 24 moles of carbon dioxide.

Note: Glucose is a simple sugar molecule represented by the molecular formula ${{C}_{6}}{{H}_{12}}{{O}_{6}}$. It is a generally monosaccharide which contains six carbon atoms and an aldehyde group and is therefore known by the name aldohexose. This is a type of carbohydrates which are very essential for our body as they are a source of energy for our body.