Chapter 23, Problem 99A

Interpretation Introduction

Interpretation:

The number of moles of ATP a human body can produce from sugar in a bushel of medium sized red delicious apple is to be calculated.

Concept introduction:

Molecular mass of a compound is the molar mass of atoms of every atom in the compound. The formula to calculate moles is,

$\text{Moles=}\frac{\text{Mass}}{\text{Molar}\text{mass}}$

Answer to Problem 99A

The number of moles of ATP a human body can produce from sugar in a bushel of medium sized red delicious apple is 3.384 mol.

Explanation of Solution

A medium sized apple contains 17.0 g of glucose. Molecular formula of glucose is ${\text{C}}_{\text{6}}{\text{H}}_{\text{12}}{\text{O}}_{\text{6}}$. First the molecular mass of glucose is to be calculated.

$\begin{array}{c}{\text{Molecular mass of C}}_{\text{6}}{\text{H}}_{\text{12}}{\text{O}}_{\text{6}}=6\times 12.0\text{g/mol+12}\times \text{1}\text{.00}\text{g/mol+6}\times \text{16}\text{.0}\text{g/mol}\\ \text{=72}\text{.0}\text{g/mol}+12\text{g/mol}+96\text{g/mol}\\ =180\text{g/mol}\end{array}$

Now, the mass of glucose is to be multiplied with a suitable conversion factor to calculate moles of glucose present in medium sized apple.

$\begin{array}{c}\text{Moles}\text{of}\text{glucose=}\frac{\text{Mass}\text{of}\text{glucose}}{\text{Molar}\text{Mass}\text{of}\text{glucose}}\\ =\frac{17\text{g}}{180\text{g}{\text{mol}}^{-1}}\\ =0.094\text{mol}\end{array}$

A human body produces 36 moles of ATP from 1 mole of sugar. So, moles of ATP in 0.094 mol is,

$\begin{array}{c}\text{Moles}\text{of}\text{ATP=0}\text{.094 mol}\text{glucose}\times \frac{36\text{moles}\text{of ATP}}{1\text{mol}\text{ glucose}}\\ =3.384\text{moles}\text{of ATP}\end{array}$

Hence, mole of ATP produced from red medium sized apple is 3.384 mol.

Conclusion

From a medium sized apple, human body can produce 3.384 moles of ATP.