Answer:
[tex]\boxed {\boxed {\sf 0.5 \ M \ NaOH}}[/tex]
Explanation:
Molarity is a measure of concentration in moles per liter.
[tex]molarity= \frac{moles}{liters}[/tex]
There are 0.250 moles of sodium hydroxide (NaOH) and 500 milliliters of water. We need to convert milliliters to liters. Remember that 1 liter contains 1000 milliliters.
[tex]\frac{1 \ L}{1000 \ mL}[/tex]
[tex]500 \ mL*\frac{1 \ L}{1000 \ mL}[/tex]
[tex]500*\frac{1 \ L}{1000 }[/tex]
[tex]\frac{500}{1000} \ L=0.5 \ L[/tex]
Now we have the values to solve for molarity:
- moles= 0.250 mol NaOH
- liters= 0.5 L
Substitute the values into the formula.
[tex]molarity= \frac{0.250 \ mol \ NaOH}{0.5 \ L}[/tex]
Divide.
[tex]molarity= 0.5 \ mol \ NaOH/ L[/tex]
- 1 mole per liter (mol/liter) is equal to 1 Molar or M.
- Our answer of 0.5 moles of sodium hydroxide per liter is equal to 0.5 M NaOH
[tex]molarity= 0.5 \ M \ NaOH[/tex]
The molarity of the solution is 0.5 M NaOH