Answer:
[tex]\boxed {\boxed {\sf 19 \ M}}[/tex]
Explanation:
Molarity is a measure of concentration in moles per liter, so the formula is:
[tex]molarity= \frac{moles \ of \ solute}{liters \ of \ solution}}[/tex]
This solution has 9.0 moles of solute and 462 milliliters of solution. We must convert milliliters to liters. Remember that 1 liter contains 1000 milliliters.
Create a ratio.
- [tex]\frac{ 1 \ L}{ 1000 \ mL}[/tex]
Multiply by the value we are converting: 462 milliliters
- [tex]462 \ mL *\frac{ 1 \ L}{ 1000 \ mL}[/tex]
- [tex]462 *\frac{ 1 \ L}{ 1000}[/tex]
[tex]0.462 \ L[/tex]
Now we know both values and we can solve for the molarity.
- moles of solute= 9.0 moles
- liters of solution = 0.462 L
[tex]molarity= \frac{9.0 \ mol}{ 0.462 \ L}[/tex]
Divide.
[tex]molarity= 19.4805195 \ mol/L[/tex]
The original measurements of moles and milliliters have 2 and 3 significant figures respectively. We have to round our answer to the least number of sig figs, which is 2 in this case.
For the number we found, that is the ones place. The 4 in the tenths place (19.4805195) tells us to leave the 9 in the ones place.
[tex]molarity= 19 \ mol/L[/tex]
1 mole per liter is equal to 1 molar or M, so our answer is equal to 19 M.
[tex]molarity \approx 19 \ M[/tex]
The molarity of the solution is approximately 19 M.
