Question

How many grams of CuSO4 must be dissolved in 575.9 ml. of total solution to create a 1.6114 M solution of CuSO4?O a. 148.1O b. 5.96e-4O c.0.7264O d. 38.85

Answer 1

a. 148.1 (g).

Step-by-step explanation:

What is given?

Volume of solution = 575.9 mL = 0.5759 L,

Molarity of solution = 1.6114 M,

Molar mass of CuSO4 = 159.5 g/mol.

Step-by-step solution:

To find the mass of CuSO4 in the solution, we have to use the molarity formula:

`Molarity\text{ \lparen M\rparen=}\frac{moles\text{ of solute}}{liters\text{ of solution}}=(mol)/(L).`

Let's solve for 'moles of solute', and replace the given data (remember that the volume must be in liters), like this:

`\begin{gathered} Moles\text{ of solute=molarity}\cdot liters\text{ of solution,} \\ \\ Moles\text{ of solute=1.6114 M}\cdot0.5759\text{ L,} \\ \\ Moles\text{ of solute}=0.928\text{ moles.} \end{gathered}`

The final step is to convert 0.928 moles of CuSO4 to grams using the molar mass of CuSO4, as follows:

`0.928\text{ moles CuSO}_4\cdot\frac{159.5\text{ g CuSO}_4}{1\text{ mol CuSO}_4}=148.02\text{ g.}`

The answer would be the nearest to 148.02 g, which is a. 148.1 (g).