It takes 12.5 mL of a 0.30 M HCl solution to neutralize 285 mL of NaOH solution.

What is the Molarity concentration of the NaOH solution?

13.15 M NaOH

1.5 M NaOH

0.15 M NaOH

0.013 M NaOH

Answer :

temdan2001

Answer:

0.013 M NaOH

Step-by-step explanation:

HCL + NaOH = NaCL + water

The mole ratio of acid and base is 1:1

Molarity is equal to the moles of solute divided by the liters of solution

Solute mole = 12.5 × 10^-3 × 0.3

= 0.003075

To neutralize 0.00375mol of HCl, 0.00375 mol of NaOH will be required. Since molarity is moles per liter, divide this amount of moles by the volume in liters:

Molarity = 0.00375/285 × 10^-3

Molarity = 0.0131 M

The molarity concentration of the NaOH solution is 0.013M NaOH

The equation of reaction is given as:

[tex]HCl + NaOH >>>>>> NaCl + H_2O[/tex]

Concentration of Hcl, [tex]C_{Hcl}=0.30M[/tex]

Volume of Hcl, [tex]V_{HCl}=12.5mL[/tex]

Concentration of NaOH = [tex]C_{NaOH}[/tex]

Volume of NaOH, [tex]V_NaOH = 285mL[/tex]

From the equation of reaction:

Number of moles of Hcl, [tex]n_{HCl}=1[/tex]

Number of moles of NaOH, [tex]n_{NaOH}=1[/tex]

The formula for neutralization is given as:

[tex]\frac{C_{HCl}V_{HCl}}{C_{NaOH}V_{NaOH}} = \frac{n_{HCl}}{n_{NaOH}}[/tex]

Substitute the values of the parameters

[tex]\frac{0.30(12.5)}{C_{NaOH}(285)} =\frac{1}{1} \\\\C_{NaOH}(285) = 0.30(12.5)\\\\C_{NaOH}(285) = 3.75\\\\C_{NaOH}=\frac{3.75}{285} \\\\C_{NaOH} = 0.013M[/tex]

The molarity concentration of the NaOH solution is 0.013M NaOH

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