Answer : The mass of [tex]Cu(NO_3)_2[/tex] in the solution is, 19.4 grams.
Explanation : Given,
Molarity of solution = 0.50 M
Volume of solution = 250 mL
Molar mass of [tex]Cu(NO_3)_2[/tex] = 155.6 g/mole
Molarity : It is defined as the number of moles of solute present in one liter of volume of solution.
Formula used :
[tex]\text{Molarity}=\frac{\text{Mass of }Cu(NO_3)_2\times 1000}{\text{Molar mass of }Cu(NO_3)_2\times \text{Volume of solution (in mL)}}[/tex]
Now put all the given values in this formula, we get:
[tex]0.50M=\frac{\text{Mass of }Cu(NO_3)_2\times 1000}{155.6g/mole\times 250mL}[/tex]
[tex]\text{Mass of }Cu(NO_3)_2=19.4g[/tex]
Therefore, the mass of [tex]Cu(NO_3)_2[/tex] in the solution is, 19.4 grams.
