Question

Question #a1580

Answer 1

`"349 mL"`

Explanation:

The molarity of the solution essentially tells the concentration of the solute in terms of moles per liter of solution.

In other words, a solution's molarity tells you how many moles of solute you get in exactly `"1 L"` of solution. In your case, a `"0.150 M"` copper(I) nitrate solution will contain `0.150` moles of copper(I) nitrate for every liter of solution.

Now, use the molar mass of the compound to calculate how many moles you have in that sample

`6.58 color(red)(cancel(color(black)("g"))) * "1 mole CuNO"_3/(125.55color(red)(cancel(color(black)("g")))) = "0.05241 moles CuNO"_3`

Now all you have to do is use the molarity of the solution to figure out the volume needed to provide that many moles of solute

`0.05241 color(red)(cancel(color(black)("moles CuNO"_3))) * "1 L solution"/(0.150 color(red)(cancel(color(black)("moles CuNO"_3)))) = color(green)(bar(ul(|color(white)(a/a)color(black)("0.349 L")color(white)(a/a)|)))`

The answer is rounded to three sig figs.

If you want, you can convert the volume to milliliters

`0.349 color(red)(cancel(color(black)("L"))) * (10^3"mL")/(1color(red)(cancel(color(black)("L")))) = "349 mL"`