Question

1.5276g of metal chloride was found to contain $0.9367g$ of metal. Calculate its equivalent weight.

Answer 1

Hint: This question gives the knowledge about the equivalent weight. Equivalent weight is defined as the weight of a chemical compound having one equivalent of hydroxide for base or one equivalent of a proton for acid.

Formula used: The formula used to determine the equivalent weight is as follows:
$\dfrac{{{M_M}}}{{{E_M}}} = \dfrac{{{M_{Cl}}}}{{{E_{Cl}}}}$
Where ${M_M}$ is the mass of metal, ${M_{Cl}}$ is the mass of chloride ion, ${E_{Cl}}$ is the equivalent weight of chloride ion and ${E_M}$ is the equivalent weight of the metal.

Complete step by step answer:
Equivalent weight is defined as the weight of a chemical compound having one equivalent of hydroxide for base or one equivalent of a proton for acid. Molecular weight and equivalent weight are two different entities. Molecular formula is important for determining both of them. The molecular formula is the representation of chemical compounds. It comprises the chemical symbols for the elements tailed by the numeric subscripts labelling the atoms of each element present in a molecule.
According to the question, the given mass of the metal is $0.9367g$ and the mass of metal chloride is $1.5276g$ .
 Therefore, the mass of $Cl$ in the metal chloride is calculated as follows:
$ \Rightarrow 1.5276 - 0.9367$
On simplifying, we get
$ \Rightarrow 0.5909$
So, the mass of $Cl$ in the metal chloride is $0.5909g$ .
Now, we will calculate the equivalent weight of metal as follows:
$ \Rightarrow \dfrac{{{M_M}}}{{{E_M}}} = \dfrac{{{M_{Cl}}}}{{{E_{Cl}}}}$
Substitute ${M_M}$ as $0.9367g$ , ${M_{Cl}}$ as $0.5909g$ and ${E_{Cl}}$ as $35.5$ .
$ \Rightarrow \dfrac{{0.9367}}{{{E_M}}} = \dfrac{{0.5909}}{{35.5}}$
On simplifying, we get
$ \Rightarrow {E_M} = \dfrac{{0.9367 \times 35.5}}{{0.5909}}$
On further simplifying, we get
$ \Rightarrow {E_M} = 56.275$

Therefore, the equivalent mass of the metal is $56.275$ .

Note: Always remember the equivalent weight of different chemical compounds based on their acidity or basicity. Molecular weight and equivalent weight are two different entities. The molecular formula is the representation of chemical compounds.