A chemist adds 50.0 mL of a 6.1 x 10^-4 M copper(II) fluoride solution to a reaction flask. Calculate the micromoles of copper(II) fluoride the chemist has added to the flask.

Respuesta :

Answer: The micro-moles of copper (II) fluoride is [tex]30.5\mu \text{ moles}[/tex]

Explanation:

Molarity of a solution is defined as the number of moles of solute present in 1 liter of solution.

Mathematically,

[tex]Molarity=\frac{\text{Moles of solute}}{\text{Volume of solution (in mL)}}[/tex]

We are given:

Molarity of solution = [tex]6.1\times 10^{-4}M[/tex]

Moles of solute = ? moles

Volume of the solution = 50 mL = 0.05L   (Conversion factor: 1L = 1000mL)

Putting values in above equation, we get:

[tex]6.1\times 10^{-4}=\frac{\text{Moles of solute}}{0.05}\\\\\text{Moles of solute}=0.305\times 10^{-4}moles[/tex]

To convert it into micro-moles, we multiply it by [tex]10^6[/tex]

[tex]1mole=10^6\mu\text{ moles}[/tex]

Converting [tex]0.305\times 10^{-4}moles[/tex] into micro-moles:

[tex]0.305\times 10^{-4}moles=0.305\times 10^{-4}\times 10^6\\\Rightarrow 0.305\times 10^2\mu\text{ moles}=30.5\mu\text{ moles}[/tex]

Hence, the micro-moles of copper (II) fluoride is [tex]30.5\mu \text{ moles}[/tex]