Question

Find volume given molarity & mass

Answer 1

I know that
\[\huge{Molarity=\frac{Mass}{Volume}}\]
But, how do I find volume? What is the conversion factor?

Answer 2

molarity is \(not\) mass/volume, that's density. Molarity is
\[Molarity (M) = \frac{moles}{volume}\]

Answer 3

molarity is the ratio of moles to volume. If you have a solution of NaCl that is 1M, for every 1L of solution, there is 1 mole of NaCl, which will have a mass of 58.5g, since that's the molar mass of NaCl

Answer 4

If you know the mass of solute and its formula, you can find out how many \(moles\) of solute are in the solution. If you know the molarity, you can rearrange to solve for the volume of the solution

Answer 5

Whoops, yeah, thats's whatI meant @JFraser. How do you find volume?

Answer 6

you solve for the volume using the pieces you're given. If volume is on the bottom of the fraction, use algebra to rearrange the fraction to solve for volume

Answer 7

@JFraser, what would be the conversion factor?

Answer 8

the molarity \(is\) the conversion fraction. Rearrange the molarity equation to solve for volume

Answer 9

since\[\large{Molarity = \frac{moles}{volume}}\]then\[\large{Volume = \frac{moles}{Molarity}}\]This is really just algebra, manipulating fractions around