Question

Given that the density of the saturated solution is found to be 1.16 g/mL. The molar mass of copper sulfate pentahydrate is 249.68 g/mol, calculate grams of copper sulfate pentahydrate that will dissolve in 100 g of water at 0oC (show calculations for full credit)

Answer 1

Explanation:

Since, it is given that density is 1.16 grams per milliliter and molar mass of copper sulfate pentahydrate is 249.68 g/mol.

Now, as we known that density is the amount of mass present in a unit volume.

Mathematically,         Density = $\frac{\text{molar mass}}{volume}$

Hence, calculate the volume as follws.

                    Density = $\frac{\text{molar mass}}{volume}$

                  1.16 g/mL = $\frac{249.68 g/mol}{volume}$          

                 volume = 215.24 mL

As, 215.24 mL can dissolve in 249.68 g/mol of complex. So, in 100 mL volume amount dissolved will be calculated as follows.

                       $\frac{249.68 g/mol}{215.24 mL} \times 100$

                    = 116 grams        

Thus, we can conclude that 116 grams of copper sulfate pentahydrate that will dissolve in 100 g of water at 0$^{o}C$.