Final answer:
The concentration of methyl benzoate in the plant stream is approximately 1.44 mg/mL, calculated by comparing peak areas from gas chromatography using a known internal standard.
Step-by-step explanation:
The concentration of methyl benzoate in the plant stream is determined by comparing the peak areas of the known concentrations (the preliminary run) to the peak areas of the sample mixture using gas chromatography. To find the concentration in the sample, a ratio of the peak areas for both the internal standard and the methyl benzoate is used.
From the preliminary run, we have the ratio of the peak areas which is:
Peak A / Peak B = 342 / 413 = 0.8278
Now, analyze the actual sample:
Peak A / Peak B = 493 / 417 ≈ 1.1823
We can set up a proportion using these ratios:
1.11 mg/mL / 1.22 mg/mL = 493 area units / 417 area units
Solving for the concentration of methyl benzoate in the plant stream:
(493 area units / 417 area units) × (1.22 mg/mL) = 1.11 mg/mL
(1.1823) × (1.22 mg/mL) = 1.44 mg/mL
Therefore, the concentration of methyl benzoate in the plant stream is approximately 1.44 mg/mL.