Question

the ache or "burn" you feel in your muscle during strenuous exercise is caused by the accumulation of lactic acid. The hydrogen atom of the COOH group is acidic, and it can be removed using base to form a COOH- group. To determine the concentration of a solution of lactic acid,a chemist titrates a 24.25mL sample of it with 0.1010 M NaOH, and it finds that 14.83m: of titrate is required to reach teh equivalent point.

Answer 1

Given the amount of sample: 24.25 mL;
the concentration of the titrant (NaOH) = 0.1010 mol / L NaOH
the amount of the titrant used for titration = 14.83 mL

The concentration of a solution of lactic acid is determined by:

C(lactic acid in the sample) = ((0.1010 mol / L) * (14.83mL/1000) / (24.25mL/1000)

C = 0.0618 mol/L

Answer 2

14.83 mL of 0.1010 M NaOH are used to titrate 24.25 mL of 0.06177 M CH₃CHCOOH.

Let's consider the neutralization reaction between lactic acid and sodium hydroxide.

CH₃CHCOOH + NaOH ⇒ CH₃CHCOONa + H₂O

14.83 mL of 0.1010 M NaOH react. The reacting moles of NaOH are:

$0.01483 L \times \frac{0.1010mol}{L} = 1.498 \times 10^{-3} mol$

The molar ratio of CH₃CHCOOH to NaOH is 1:1. The reacting moles of CH₃CHCOOH are:

$1.498 \times 10^{-3} mol NaOH \times \frac{1molCH_3CHCOOH}{1molNaOH} = 1.498 \times 10^{-3}molCH_3CHCOOH$

1.498 × 10⁻³ moles of CH₃CHCOOH are in 24.25 mL. The molarity of CH₃CHCOOH is:

$\frac{1.498 \times 10^{-3} mol}{24.25 \times 10^{-3} L} = 0.06177 M$

14.83 mL of 0.1010 M NaOH are used to titrate 24.25 mL of 0.06177 M CH₃CHCOOH.

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Complete question:

The ache, or "burn", you feel in your muscles during strenuous exercise is caused by the accumulation of lactic acid, which has the structure shown below. The hydrogen atom in the COOH group is acidic, and it can be removed using base to form a COO- group. To determine the concentration of a solution of lactic acid, a chemist titrates a 24.25 mL sample of it with 0.1010 M NaOH, and finds that 14.83 mL of titrant are required to reach the equivalence point.

What is the concentration of the lactic acid solution in moles per liter?