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What is the molarity of a solution containing 9.0 moles of solute in 462 mL of solution

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Sarah06109idn

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.

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