Question

What is the mass of one molecule of \[{H_2}S{O_4}\]?
What is the molecular mass of \[{H_2}S{O_4}\]?
What is the gram molecular mass of \[{H_2}S{O_4}\]?

Answer 1

Hint: Molecules are formed by the combination of atoms or elements. Atoms are the tiny particles. Molecules consist of different atoms or single type of two or more atoms. Sulfuric acid is a molecule and it is an acidic compound. Mole is the unit used to express the amount of substance.


Complete answer:
Given that sulphuric acid is a molecule. It has the atoms of hydrogen, oxygen and Sulphur. There are four atoms of oxygen, two atoms of hydrogen and one atom of Sulphur.
The molar mass of sulphuric acid is \[98\]amu.
The mass of one molecule of sulphuric acid will be obtained from molar mass and Avogadro’s number.
Avogadro’s number is the number of atoms or particles or ions in one mole.
\[1mole = 6.023 \times {10^{23}}\] particles. The particles are atoms, ions or molecules.

The mass of one molecule of \[{H_2}S{O_4}\] will be \[\dfrac{{mass of 1 mole of{H_2}S{O_4}}}{{6.023 \times {{10}^{23}}}}\]
\[\dfrac{{mass of 1 mole of{H_2}S{O_4}}}{{6.023 \times {{10}^{23}}}} = \dfrac{{98}}{{6.023 \times {{10}^{23}}}} = 1.6 \times {10^{ - 22}}amu\]
The molecular mass of sulphuric acid is \[2\left( 1 \right) + 28 + 4\left( {16} \right) = 2 + 32 + 64 = 98amu\]
The gram molecular mass of sulphuric acid will be equal to the mass of one mole of sulphuric acid in grams.
Thus, the gram molecular mass of \[{H_2}S{O_4}\] is \[98grams\].

Note:
The molecular mass and gram molecular mass are the same for any compound. But the units used to express molecular mass and gram molecular mass were only different. The molecular mass will be in atomic mass units simply known as amu and the gram molecular mass will be expressed in grams.