Question

We can be sure that a mole of table sugar and a mole of vitamin C are equal in their

(A) mass.

(B) volume.

(C) number of atoms.

(D) number of molecules.

Short answer

(A) The option “mass” is false.

(B) The option“volume” is false.

(C) The option“number of atoms” is false.

(D) The option“number of molecules” is true.

Step-by-step solution

Mole

In chemistry, a mole is a unit used similarly like gross, dozen, and pair. The exact amount of material has the same number of ions, molecules, and atoms as present in the weighted \({}^{12}{\rm{C}}\) sample of weight 12g sample.

Explanation for option (A)

The molecular mass of table sugar (\({{\rm{C}}_{{\rm{12}}}}{{\rm{H}}_{{\rm{22}}}}{{\rm{O}}_{{\rm{11}}}}\)) is \({\rm{342}}{\rm{.2965 g/mol}}\). The molecular mass of vitamin C (\({{\rm{C}}_{\rm{6}}}{{\rm{H}}_{\rm{8}}}{{\rm{O}}_{\rm{6}}}\)) is \(176.12{\rm{ g}}/{\rm{mol}}\). The mass of one mole of vitamin C and one mole of table sugar cannot be the same.

Thus, the mass of molecules is not considered in the concept ofthe mole.

Therefore, the given statement is false.

Explanation for option (B)

The volume and mass of matter are dependent on each other. The mass of one mole of vitamin C and one mole of table sugar is different, so their volume will also be different.

Thus, the volume of molecules is not considered in the concept of the mole.

Therefore, the given statement is false.

Explanation for option (C)

There are 6 carbon atoms, 22 hydrogen atoms, and 11 oxygen atoms in one molecule of table sugar. In comparison, there are 6 carbon atoms, 8 hydrogen atoms, and 6 oxygen atoms in one molecule of vitamin C. The number of atoms in one mole of vitamin C and one table sugar cannot be the same.

Thus, the number of atoms is not the same in different molecules here.

Therefore, the given statement is false.

Explanation for option (D)

There are \(6.022 \times {10^{23}}\) molecules of table sugar in one mole of table sugar. Also, there are \(6.022 \times {10^{23}}\) molecules of vitamin C in one molecule of vitamin C.

Thus, the number of molecules isthe same in moles of vitamin C and sugar.

Therefore, the given statement is true.