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In a laboratory activity, a student titrates a 20.0 milliliter sample of Hcl(aq) using 0.025 M NAOH (aq). In one of the titration trails, 17.6 milliliters of the base solution exactly neutralizes the acid sample. Calculate the concentration f the hydrochloric acid using the titration data

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Answer:

[tex]\large \boxed{\text{0.022 mol/L}}[/tex]

Explanation:

1. Balanced chemical equation.

[tex]\rm HCl + NaOH \longrightarrow \, NaCl + H_{2}O[/tex]

2. Moles of NaOH

[tex]\text{Moles of NaOH} =\text{ 17.6 mL NaOH} \times \dfrac{\text{0.025 mmol NaOH }}{\text{1 mL NaOH }} = \text{0.440 mmol NaOH }[/tex]

3. Moles of HBr

The molar ratio is 1 mmol HCl:1 mmol NaOH

[tex]\text{Moles of HCl}= \text{0.440 mmol NaOH} \times \dfrac{\text{1 mmol HCl}}{\text{1 mmol NaOH}} =\text{0.440 mmol HCl}[/tex]

4. [HCl]

[tex]\text{[HCl]} = \dfrac{\text{0.440 mmol HCl}}{\text{20.0 mL HCl}} = \textbf{0.022 mol/L}\\\text{The concentration of HCl is $\large \boxed{\textbf{0.022 mol/L}}$}[/tex]}

The concentration of hydrochloric acid using the titration data is 0.022M

HOW TO CALCULATE CONCENTRATION?

The concentration of a solution can be calculated using the following expression:

CaVa = CbVb

Where;

  • Ca = concentration of acid = ?
  • Cb = concentration of base = 0.025M
  • Va = volume of acid = 20mL
  • Vb = volume of base = 17.6mL

Ca × 20 = 0.025 × 17.6

20Ca = 0.44

Ca = 0.44 ÷ 20

Ca = 0.022M

Therefore, the concentration of hydrochloric acid using the titration data is 0.022M.

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