Chapter 19, Problem 56R

To determine

To calculate: The molar mass of the copper nitrate $\text{Cu}{\left({\text{NO}}_{\text{3}}\right)}_{\text{2}}$ .

Answer to Problem 56R

The molar mass of copper nitrate is $\text{187}\text{.56 g/mol}$ .

Explanation of Solution

Given information:

The chemical formula of copper nitrate is $\text{Cu}{\left({\text{NO}}_{\text{3}}\right)}_{\text{2}}$ .

Formula used:

The molar mass of a chemical compound is calculated by summing the constituent atom’s atomic masses.

  ${\mathrm{M}}_{\mathrm{A}{\mathrm{B}}_2}={\mathrm{M}}_{\mathrm{A}}+2{\mathrm{M}}_{\mathrm{B}}$

Where, M is represents the molar mass.

Calculation:

The chemical formula of copper nitrate is $\text{Cu}{\left({\text{NO}}_{\text{3}}\right)}_{\text{2}}$ . In this formula one copper ion and 2 molecules of nitrate ions are used.

The molar mass of copper nitrate can be calculated as follows:

  $\begin{array}{c}{\text{M}}_{\text{Cu}\left({\text{NO}}_{\text{3}}\right)}{}_{{}_{\text{2}}}={\mathrm{M}}_{\text{Cu}}+2{\mathrm{M}}_{\text{N}}+6\times {\mathrm{M}}_{\text{O}}\\ =1\times 63.456\text{ g/mol}+2\times 14.0067\text{ g/mol}+6\times 15.999\text{ g/mol}\\ =187.56\text{ g/mol}\end{array}$

Conclusion:

The molar mass is 187.56 g/mol.