Question

What is the mass of $0.50$ mole of baking soda, ${\text{NaHC}}{{\text{O}}_3}$?

Answer 1

Mole is one of the important units in chemistry. All the chemical reactions are expressed in terms of the moles of the reactant and product. If one reaction is completed or not also determined by the moles of the reactant and product. Moles of the molecules are also important for the manufacture of chemicals. The chemical formula of baking soda is ${\text{NaHC}}{{\text{O}}_3}$.

Formula used: Moles is defined as the given mass of the molecules is divided by the molecular weight of the atom.
${\text{Moles of the molecule}} = \dfrac{{{\text{Given weight of the molecules}}}}{{{\text{Molecular weight of the molecules}}}}$
${\text{Given Weight Of The Molecule = Number of moles}} \times {\text{Molecular weight of molecule}}$
If we want the given weight of the molecule means the product of the number of moles of the molecule and the molecular weight of the molecule.
The molecular weight of the molecule is nothing but the sum of atomic weight of the atom present in the molecule.

Complete step by step answer:
The number of moles of baking soda is $0.50$ moles.
The molecular weight of baking soda is
The atomic weight of sodium is $23g$
The atomic weight of oxygen is $16g$
The atomic weight of hydrogen is $1g$
The atomic weight of carbon atom is $12g$
The number of oxygen atom in baking soda is $3$
Hence the molecular weight of baking soda is,
$= 12 + 1 + 23 + (16 \times 3)$
$= 12 + 1 + 23 + 48$
$= 84g$
The molecular weight of baking soda is $84g$
Calculate the mass of $0.50$moles of baking soda is
${\text{Moles of the molecule}} = \dfrac{{{\text{Given weight of the molecules}}}}{{{\text{Molecular weight of the molecules}}}}$
We alter the formula depend on our need,
${\text{Given Weight Of The Molecule = Number of moles}} \times {\text{Molecular weight of molecule}}$
$= 0.5 \times 84$
$= 42$
From above calculation,
The mass of $0.5$ moles of baking soda is $42g$.

Note: Baking soda is primarily used as an ingredient in baking. This kind of ingredient is used to make food soft. Baking soda is also used in fire extinguishers. This kind of fire extinguisher is specially made for type B fire. Baking soda is also used for skin infection. Because it is mild antiseptic.